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Dynamical analysis of a toxin-producing phytoplankton-zooplankton model with refuge
1. Jiangsu Key Laborary for NSLSCS, Institute of Mathematics, School of Mathematics Science, Nanjing Normal University, Nanjing 210023, China
2. Laboratory of Mathematical Parallel Systems (Lamps), Department of Mathematics and Statistics, York University, Toronto, ON, M3J 1P3, Canada
Received: , Published:
To study the impacts of toxin produced by phytoplankton and refuges provided for phytoplankton on phytoplankton-zooplankton interactions in lakes, we establish a simple phytoplankton-zooplankton system with Holling type Ⅱ response function. The existence and stability of positive equilibria are discussed. Bifurcation analyses are given by using normal form theory which reveals reasonably the mechanisms and nonlinear dynamics of the effects of toxin and refuges, including Hopf bifurcation, Bogdanov-Takens bifurcation of co-dimension 2 and 3. Numerical simulations are carried out to intuitively support our analytical results and help to explain the observed biological behaviors. Our findings finally show that both phytoplankton refuge and toxin have a significant impact on the occurring and terminating of algal blooms in freshwater lakes.
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Global dynamics of a general class of multi-group epidemic models with latency and relapse
Xiaomei Feng, Zhidong Teng, Fengqin Zhang
Mathematical Biosciences and Engineering,2015, 12(2): 99-115.doi: 10.3934/mbe.2015.12.99
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Spatiotemporal complexity in a predator--prey model with weak Allee effects
Yongli Cai, Malay Banerjee, Yun Kang, Weiming Wang
Mathematical Biosciences and Engineering,2014, 11(2): 1247-1274.doi: 10.3934/mbe.2014.11.1247
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Modeling colony collapse disorder in honeybees as a contagion
Christopher M. Kribs-Zaleta, Christopher Mitchell
Mathematical Biosciences and Engineering,2014, 11(2): 1275-1294.doi: 10.3934/mbe.2014.11.1275
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Epidemic models for complex networks with demographics
Zhen Jin, Guiquan Sun, Huaiping Zhu
Mathematical Biosciences and Engineering,2014, 11(2): 1295-1317.doi: 10.3934/mbe.2014.11.1295
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Dynamics of two phytoplankton populations under predation
Jean-Jacques Kengwoung-Keumo
Mathematical Biosciences and Engineering,2014, 11(2): 1319-1336.doi: 10.3934/mbe.2014.11.1319
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Modeling the impact of twitter on influenza epidemics
Kasia A. Pawelek, Anne Oeldorf-Hirsch, Libin Rong
Mathematical Biosciences and Engineering,2014, 11(2): 1337-1356.doi: 10.3934/mbe.2014.11.1337
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Threshold dynamics of an SIR epidemic model with hybrid of multigroup and patch structures
Toshikazu Kuniya, Yoshiaki Muroya, Yoichi Enatsu
Mathematical Biosciences and Engineering,2014, 11(2): 1375-1393.doi: 10.3934/mbe.2014.11.1375
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A new model with delay for mosquito population dynamics
Hui Wan, Huaiping Zhu
Mathematical Biosciences and Engineering,2014, 11(2): 1395-1410.doi: 10.3934/mbe.2014.11.1395
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Dynamics of evolutionary competition between budding and lytic viral release strategies
Xiulan Lai, Xingfu Zou
Mathematical Biosciences and Engineering,2014, 11(2): 1091-1113.doi: 10.3934/mbe.2014.11.1091
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Leonid Shaikhet
Mathematical Biosciences and Engineering,2014, 11(2): 1167-1174.doi: 10.3934/mbe.2014.11.1167
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Disease dynamics for the hometown of migrant workers
Ram P. Sigdel, C. Connell McCluskey
Mathematical Biosciences and Engineering,2014, 11(2): 1175-1180.doi: 10.3934/mbe.2014.11.1175
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Impact of delay on HIV-1 dynamics of fighting a virus withanother virus
Yun Tian, Yu Bai, Pei Yu
Mathematical Biosciences and Engineering,2014, 11(2): 1181-1198.doi: 10.3934/mbe.2014.11.1181
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A mathematical model studying mosquito-stage transmission-blocking vaccines
Ruijun Zhao, Jemal Mohammed-Awel
Mathematical Biosciences and Engineering,2014, 11(2): 1229-1245.doi: 10.3934/mbe.2014.11.1229
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Yoichi Enatsu, Yukihiko Nakata
Mathematical Biosciences and Engineering,2014, 11(2): 785-805.doi: 10.3934/mbe.2014.11.785
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On a diffusive predator-prey model with nonlinear harvesting
Peng Feng
Mathematical Biosciences and Engineering,2014, 11(2): 807-821.doi: 10.3934/mbe.2014.11.807
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Coexistence and asymptotic stability in stage-structured predator-prey models
Wei Feng, Michael T. Cowen, Xin Lu
Mathematical Biosciences and Engineering,2014, 11(2): 823-839.doi: 10.3934/mbe.2014.11.823
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Dynamics of a predator-prey system with prey subject to Allee effects and disease
Yun Kang, Sourav Kumar Sasmal, Amiya Ranjan Bhowmick, Joydev Chattopadhyay
Mathematical Biosciences and Engineering,2014, 11(2): 877-918.doi: 10.3934/mbe.2014.11.877
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Global dynamics for two-species competition in patchy environment
Kuang-Hui Lin, Yuan Lou, Chih-Wen Shih, Tze-Hung Tsai
Mathematical Biosciences and Engineering,2014, 11(2): 947-970.doi: 10.3934/mbe.2014.11.947
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A note on global stability for malaria infections model with latencies
Jinliang Wang, Jingmei Pang, Toshikazu Kuniya
Mathematical Biosciences and Engineering,2014, 11(2): 995-1001.doi: 10.3934/mbe.2014.11.995
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The global stability of an SIRS model with infection age
Yuming Chen, Junyuan Yang, Fengqin Zhang
Mathematical Biosciences and Engineering,2014, 11(2): 449-469.doi: 10.3934/mbe.2014.11.449
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A model of optimal dosing of antibiotic treatment in biofilm
Mudassar Imran, Hal L. Smith
Mathematical Biosciences and Engineering,2014, 11(2): 547-571.doi: 10.3934/mbe.2014.11.547
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Brandy Rapatski, Juan Tolosa
Mathematical Biosciences and Engineering,2014, 11(2): 599-619.doi: 10.3934/mbe.2014.11.599
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Global stability of an age-structured cholera model
Jianxin Yang, Zhipeng Qiu, Xue-Zhi Li
Mathematical Biosciences and Engineering,2014, 11(2): 641-665.doi: 10.3934/mbe.2014.11.641
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FitzHugh-Nagumo equations with generalized diffusive coupling
Anna Cattani
Mathematical Biosciences and Engineering,2014, 11(2): 203-215.doi: 10.3934/mbe.2014.11.203
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Stability and optimal control for some classes of tritrophic systems
Luca Galbusera, Sara Pasquali, Gianni Gilioli
Mathematical Biosciences and Engineering,2014, 11(2): 257-283.doi: 10.3934/mbe.2014.11.257
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Dynamics of an age-of-infection cholera model
Fred Brauer, Zhisheng Shuai, P. van den Driessche
Mathematical Biosciences and Engineering,2013, 10(2): 1335-1349.doi: 10.3934/mbe.2013.10.1335
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Bifurcation analysis of a discrete SIS model with bilinear incidence depending on new infection
Hui Cao, Yicang Zhou, Zhien Ma
Mathematical Biosciences and Engineering,2013, 10(2): 1399-1417.doi: 10.3934/mbe.2013.10.1399
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Chemostats and epidemics: Competition for nutrients/hosts
Hal L. Smith, Horst R. Thieme
Mathematical Biosciences and Engineering,2013, 10(2): 1635-1650.doi: 10.3934/mbe.2013.10.1635
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Model for hepatitis C virus transmissions
Elamin H. Elbasha
Mathematical Biosciences and Engineering,2013, 10(2): 1045-1065.doi: 10.3934/mbe.2013.10.1045
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Maya Mincheva, Gheorghe Craciun
Mathematical Biosciences and Engineering,2013, 10(2): 1207-1226.doi: 10.3934/mbe.2013.10.1207
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The ratio of hidden HIV infection in Cuba
Miguel Atencia, Esther García-Garaluz, Gonzalo Joya
Mathematical Biosciences and Engineering,2013, 10(2): 959-977.doi: 10.3934/mbe.2013.10.959
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Stability and Hopf bifurcation in a diffusivepredator-prey system incorporating a prey refuge
Xiaoyuan Chang, Junjie Wei
Mathematical Biosciences and Engineering,2013, 10(2): 979-996.doi: 10.3934/mbe.2013.10.979
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Gompertz model with delays and treatment: Mathematical analysis
Marek Bodnar, Monika Joanna Piotrowska, Urszula Foryś
Mathematical Biosciences and Engineering,2013, 10(2): 551-563.doi: 10.3934/mbe.2013.10.551
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On the sensitivity of feature ranked lists for large-scale biological data
Danuta Gaweł, Krzysztof Fujarewicz
Mathematical Biosciences and Engineering,2013, 10(2): 667-690.doi: 10.3934/mbe.2013.10.667
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A simple model of carcinogenic mutations with time delay and diffusion
Monika Joanna Piotrowska, Urszula Foryś, Marek Bodnar, Jan Poleszczuk
Mathematical Biosciences and Engineering,2013, 10(2): 861-872.doi: 10.3934/mbe.2013.10.861
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A flexible multivariable model for Phytoplankton growth
Mohammad A. Tabatabai, Wayne M. Eby, Sejong Bae, Karan P. Singh
Mathematical Biosciences and Engineering,2013, 10(2): 913-923.doi: 10.3934/mbe.2013.10.913
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Eduardo González-Olivares, Betsabé González-Yañez, Jaime Mena-Lorca, José D. Flores
Mathematical Biosciences and Engineering,2013, 10(2): 345-367.doi: 10.3934/mbe.2013.10.345
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Lyapunov functions and global stability for SIR and SEIR models withage-dependent susceptibility
Andrey V. Melnik, Andrei Korobeinikov
Mathematical Biosciences and Engineering,2013, 10(2): 369-378.doi: 10.3934/mbe.2013.10.369
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Mathematical modelling and control of echinococcus in Qinghai province, China
Liumei Wu, Baojun Song, Wen Du, Jie Lou
Mathematical Biosciences and Engineering,2013, 10(2): 425-444.doi: 10.3934/mbe.2013.10.425
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On latencies in malaria infections and their impact on the disease dynamics
Yanyu Xiao, Xingfu Zou
Mathematical Biosciences and Engineering,2013, 10(2): 463-481.doi: 10.3934/mbe.2013.10.463
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Zhaohui Yuan, Xingfu Zou
Mathematical Biosciences and Engineering,2013, 10(2): 483-498.doi: 10.3934/mbe.2013.10.483
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Model of tumour angiogenesis -- analysis of stability with respect to delays
Marek Bodnar, Monika Joanna Piotrowska, Urszula Foryś, Ewa Nizińska
Mathematical Biosciences and Engineering,2013, 10(2): 19-35.doi: 10.3934/mbe.2013.10.19
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On a mathematical model of tumor growth based on cancer stem cells
J. Ignacio Tello
Mathematical Biosciences and Engineering,2013, 10(2): 263-278.doi: 10.3934/mbe.2013.10.263
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C. Connell McCluskey
Mathematical Biosciences and Engineering,2012, 9(2): 819-841.doi: 10.3934/mbe.2012.9.819
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Modeling the effects of introducing a new antibiotic in a hospital setting: A case study
Michele L. Joyner, Cammey C. Manning, Brandi N. Canter
Mathematical Biosciences and Engineering,2012, 9(2): 601-625.doi: 10.3934/mbe.2012.9.601
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The mathematical analysis of a syntrophic relationship between two microbial species in a chemostat
Tewfik Sari, Miled El Hajji, Jérôme Harmand
Mathematical Biosciences and Engineering,2012, 9(2): 627-645.doi: 10.3934/mbe.2012.9.627
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A minimal mathematical model for the initial molecular interactions of death receptor signalling
Christian Winkel, Simon Neumann, Christina Surulescu, Peter Scheurich
Mathematical Biosciences and Engineering,2012, 9(2): 663-683.doi: 10.3934/mbe.2012.9.663
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Qualitative analysis of a model for co-culture of bacteria and amoebae
Laura Fumanelli, Pierre Magal, Dongmei Xiao, Xiao Yu
Mathematical Biosciences and Engineering,2012, 9(2): 259-279.doi: 10.3934/mbe.2012.9.259
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Global stability for epidemic model with constant latency and infectious periods
Gang Huang, Edoardo Beretta, Yasuhiro Takeuchi
Mathematical Biosciences and Engineering,2012, 9(2): 297-312.doi: 10.3934/mbe.2012.9.297
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Stable periodic oscillations in a two-stage cancer model of tumor and immune system interactions
Dan Liu, Shigui Ruan, Deming Zhu
Mathematical Biosciences and Engineering,2012, 9(2): 347-368.doi: 10.3934/mbe.2012.9.347
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Impact of heterogeneity on the dynamics of an SEIR epidemic model
Zhisheng Shuai, P. van den Driessche
Mathematical Biosciences and Engineering,2012, 9(2): 393-411.doi: 10.3934/mbe.2012.9.393
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Analysis of a model for the effects of an external toxin on anaerobic digestion
Marion Weedermann
Mathematical Biosciences and Engineering,2012, 9(2): 445-459.doi: 10.3934/mbe.2012.9.445
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Threshold dynamics for a Tuberculosis model with seasonality
Xinli Hu
Mathematical Biosciences and Engineering,2012, 9(2): 111-122.doi: 10.3934/mbe.2012.9.111
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Cruz Vargas-De-León
Mathematical Biosciences and Engineering,2012, 9(2): 165-174.doi: 10.3934/mbe.2012.9.165
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Impact of discontinuous treatments on disease dynamics in an SIR epidemic model
Zhenyuan Guo, Lihong Huang, Xingfu Zou
Mathematical Biosciences and Engineering,2012, 9(2): 97-110.doi: 10.3934/mbe.2012.9.97
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Andrey V. Melnik, Andrei Korobeinikov
Mathematical Biosciences and Engineering,2011, 8(2): 1019-1034.doi: 10.3934/mbe.2011.8.1019
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Dynamics of a delay Schistosomiasis model in snail infections
Chunhua Shan, Hongjun Gao, Huaiping Zhu
Mathematical Biosciences and Engineering,2011, 8(2): 1099-1115.doi: 10.3934/mbe.2011.8.1099
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A dynamic model describing heterotrophic culture of chorella and its stability analysis
Yan Zhang, Wanbiao Ma, Hai Yan, Yasuhiro Takeuchi
Mathematical Biosciences and Engineering,2011, 8(2): 1117-1133.doi: 10.3934/mbe.2011.8.1117
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Zhenzhen Zheng, Ching-Shan Chou, Tau-Mu Yi, Qing Nie
Mathematical Biosciences and Engineering,2011, 8(2): 1135-1168.doi: 10.3934/mbe.2011.8.1135
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An SEIR epidemic model with constant latency time and infectious period
Edoardo Beretta, Dimitri Breda
Mathematical Biosciences and Engineering,2011, 8(2): 931-952.doi: 10.3934/mbe.2011.8.931
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Effects of spatial structure and diffusion on the performances of the chemostat
Ihab Haidar, Alain Rapaport, Frédéric Gérard
Mathematical Biosciences and Engineering,2011, 8(2): 953-971.doi: 10.3934/mbe.2011.8.953
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A note for the global stability of a delay differential equation of hepatitis B virus infection
Bao-Zhu Guo, Li-Ming Cai
Mathematical Biosciences and Engineering,2011, 8(2): 689-694.doi: 10.3934/mbe.2011.8.689
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Hongbin Guo, Jianhong Wu
Mathematical Biosciences and Engineering,2011, 8(2): 695-709.doi: 10.3934/mbe.2011.8.695
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Modeling the effects of carriers on transmission dynamics of infectious diseases
Darja Kalajdzievska, Michael Yi Li
Mathematical Biosciences and Engineering,2011, 8(2): 711-722.doi: 10.3934/mbe.2011.8.711
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Stability analysis and application of a mathematical cholera model
Shu Liao, Jin Wang
Mathematical Biosciences and Engineering,2011, 8(2): 733-752.doi: 10.3934/mbe.2011.8.733
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Optimal number of sites in multi-site fisheries with fish stock dependent migrations
Ali Moussaoui, Pierre Auger, Christophe Lett
Mathematical Biosciences and Engineering,2011, 8(2): 769-783.doi: 10.3934/mbe.2011.8.769
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Global dynamics of the chemostat with different removal rates and variable yields
Tewfik Sari, Frederic Mazenc
Mathematical Biosciences and Engineering,2011, 8(2): 827-840.doi: 10.3934/mbe.2011.8.827
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The replicability of oncolytic virus: Defining conditions in tumor virotherapy
Jianjun Paul Tian
Mathematical Biosciences and Engineering,2011, 8(2): 841-860.doi: 10.3934/mbe.2011.8.841
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Sveir epidemiological model with varying infectivity and distributed delays
Jinliang Wang, Gang Huang, Yasuhiro Takeuchi, Shengqiang Liu
Mathematical Biosciences and Engineering,2011, 8(2): 875-888.doi: 10.3934/mbe.2011.8.875
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Blood coagulation dynamics: mathematical modeling and stability results
Adélia Sequeira, Rafael F. Santos, Tomáš Bodnár
Mathematical Biosciences and Engineering,2011, 8(2): 425-443.doi: 10.3934/mbe.2011.8.425
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Orit Lavi, Doron Ginsberg, Yoram Louzoun
Mathematical Biosciences and Engineering,2011, 8(2): 445-461.doi: 10.3934/mbe.2011.8.445
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Physiologically structured populations with diffusion and dynamic boundary conditions
József Z. Farkas, Peter Hinow
Mathematical Biosciences and Engineering,2011, 8(2): 503-513.doi: 10.3934/mbe.2011.8.503
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A delay-differential equation model of HIV related cancer--immune system dynamics
Urszula Foryś, Jan Poleszczuk
Mathematical Biosciences and Engineering,2011, 8(2): 627-641.doi: 10.3934/mbe.2011.8.627
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Stability of a delay equation arising from a juvenile-adult model
Azmy S. Ackleh, Keng Deng
Mathematical Biosciences and Engineering,2010, 7(2): 729-737.doi: 10.3934/mbe.2010.7.729
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A stoichiometrically derived algal growth model and its global analysis
Xiong Li, Hao Wang
Mathematical Biosciences and Engineering,2010, 7(2): 825-836.doi: 10.3934/mbe.2010.7.825
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Global stability of an $SIR$ epidemic model with delay and general nonlinear incidence
C. Connell McCluskey
Mathematical Biosciences and Engineering,2010, 7(2): 837-850.doi: 10.3934/mbe.2010.7.837
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Robert Artebrant, Aslak Tveito, Glenn T. Lines
Mathematical Biosciences and Engineering,2010, 7(2): 505-526.doi: 10.3934/mbe.2010.7.505
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Bruno Buonomo, Alberto d’Onofrio, Deborah Lacitignola
Mathematical Biosciences and Engineering,2010, 7(2): 561-578.doi: 10.3934/mbe.2010.7.561
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Local stabilization and network synchronization: The case of stationary regimes
Stefano Fasani, Sergio Rinaldi
Mathematical Biosciences and Engineering,2010, 7(2): 623-639.doi: 10.3934/mbe.2010.7.623
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A mathematical study of a syntrophic relationship of a model of anaerobic digestion process
Miled El Hajji, Frédéric Mazenc, Jérôme Harmand
Mathematical Biosciences and Engineering,2010, 7(2): 641-656.doi: 10.3934/mbe.2010.7.641
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Global stability of an HIV-1 model with distributed intracellular delays and a combination therapy
Shengqiang Liu, Lin Wang
Mathematical Biosciences and Engineering,2010, 7(2): 675-685.doi: 10.3934/mbe.2010.7.675
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Morphological spatial patterns in a reaction diffusion model for metal growth
Benedetto Bozzini, Deborah Lacitignola, Ivonne Sgura
Mathematical Biosciences and Engineering,2010, 7(2): 237-258.doi: 10.3934/mbe.2010.7.237
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Surface tension and modeling of cellular intercalation during zebrafish gastrulation
Colette Calmelet, Diane Sepich
Mathematical Biosciences and Engineering,2010, 7(2): 259-275.doi: 10.3934/mbe.2010.7.259
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A kinetic mechanism inducing oscillations in simple chemical reactions networks
Julien Coatléven, Claudio Altafini
Mathematical Biosciences and Engineering,2010, 7(2): 301-312.doi: 10.3934/mbe.2010.7.301
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Vector control for the Chikungunya disease
Yves Dumont, Frederic Chiroleu
Mathematical Biosciences and Engineering,2010, 7(2): 313-345.doi: 10.3934/mbe.2010.7.313
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Global stability for a class of discrete SIR epidemic models
Yoichi Enatsu, Yukihiko Nakata, Yoshiaki Muroya
Mathematical Biosciences and Engineering,2010, 7(2): 347-361.doi: 10.3934/mbe.2010.7.347
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An age-structured two-strain epidemic model with super-infection
Xue-Zhi Li, Ji-Xuan Liu, Maia Martcheva
Mathematical Biosciences and Engineering,2010, 7(2): 123-147.doi: 10.3934/mbe.2010.7.123
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Dynamics of an SIS reaction-diffusion epidemic model for disease transmission
Wenzhang Huang, Maoan Han, Kaiyu Liu
Mathematical Biosciences and Engineering,2010, 7(2): 51-66.doi: 10.3934/mbe.2010.7.51
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Multistability, oscillations and bifurcations in feedback loops
Maria Conceição A. Leite, Yunjiao Wang
Mathematical Biosciences and Engineering,2010, 7(2): 83-97.doi: 10.3934/mbe.2010.7.83
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Modeling of mosquitoes with dominant or recessive Transgenes and Allee effects
Jia Li
Mathematical Biosciences and Engineering,2010, 7(2): 99-121.doi: 10.3934/mbe.2010.7.99
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Stability of equilibria of a predator-prey model of phenotype evolution
Sílvia Cuadrado
Mathematical Biosciences and Engineering,2009, 6(2): 701-718.doi: 10.3934/mbe.2009.6.701
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Sharpness of saturation in harvesting and predation
Christopher M. Kribs-Zaleta
Mathematical Biosciences and Engineering,2009, 6(2): 719-742.doi: 10.3934/mbe.2009.6.719
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Novel stability results for traveling wavefronts in an age-structured reaction-diffusion equation
Ming Mei, Yau Shu Wong
Mathematical Biosciences and Engineering,2009, 6(2): 743-752.doi: 10.3934/mbe.2009.6.743
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Esther Chigidi, Edward M. Lungu
Mathematical Biosciences and Engineering,2009, 6(2): 427-450.doi: 10.3934/mbe.2009.6.427
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Global asymptotic properties for a Leslie-Gower food chain model
Andrei Korobeinikov, William T. Lee
Mathematical Biosciences and Engineering,2009, 6(2): 585-590.doi: 10.3934/mbe.2009.6.585
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Global stability for an SEIR epidemiological model with varying infectivity and infinite delay
C. Connell McCluskey
Mathematical Biosciences and Engineering,2009, 6(2): 603-610.doi: 10.3934/mbe.2009.6.603
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Feedback stabilization for a chemostat with delayed output
Gonzalo Robledo
Mathematical Biosciences and Engineering,2009, 6(2): 629-647.doi: 10.3934/mbe.2009.6.629
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Epidemic models with differential susceptibility and staged progression and their dynamics
James M. Hyman, Jia Li
Mathematical Biosciences and Engineering,2009, 6(2): 321-332.doi: 10.3934/mbe.2009.6.321
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Mathematical analysis of a model for HIV-malaria co-infection
Zindoga Mukandavire, Abba B. Gumel, Winston Garira, Jean Michel Tchuenche
Mathematical Biosciences and Engineering,2009, 6(2): 333-362.doi: 10.3934/mbe.2009.6.333
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Muntaser Safan, Klaus Dietz
Mathematical Biosciences and Engineering,2009, 6(2): 395-407.doi: 10.3934/mbe.2009.6.395
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Global stability of a class of discrete age-structured SIS models with immigration
Yicang Zhou, Zhien Ma
Mathematical Biosciences and Engineering,2009, 6(2): 409-425.doi: 10.3934/mbe.2009.6.409
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Feedback regulation in multistage cell lineages
Wing-Cheong Lo, Ching-Shan Chou, Kimberly K. Gokoffski, Frederic Y.-M. Wan, Arthur D. Lander, Anne L. Calof, Qing Nie
Mathematical Biosciences and Engineering,2009, 6(2): 59-82.doi: 10.3934/mbe.2009.6.59
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Mathematical analysis of a HIV model with frequency dependence and viral diversity
Shingo Iwami, Shinji Nakaoka, Yasuhiro Takeuchi
Mathematical Biosciences and Engineering,2008, 5(2): 457-476.doi: 10.3934/mbe.2008.5.457
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An extension of the Beretta-Kuang model of viral diseases
Ivo Siekmann, Horst Malchow, Ezio Venturino
Mathematical Biosciences and Engineering,2008, 5(2): 549-565.doi: 10.3934/mbe.2008.5.549
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Stabilization due to predator interference: comparison of different analysis approaches
G.A.K. van Voorn, D. Stiefs, T. Gross, B. W. Kooi, Ulrike Feudel, S.A.L.M. Kooijman
Mathematical Biosciences and Engineering,2008, 5(2): 567-583.doi: 10.3934/mbe.2008.5.567
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SEIR epidemiological model with varying infectivity and infinite delay
Gergely Röst, Jianhong Wu
Mathematical Biosciences and Engineering,2008, 5(2): 389-402.doi: 10.3934/mbe.2008.5.389
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Modeling and prediction of HIV in China: transmission rates structured by infection ages
Yicang Zhou, Yiming Shao, Yuhua Ruan, Jianqing Xu, Zhien Ma, Changlin Mei, Jianhong Wu
Mathematical Biosciences and Engineering,2008, 5(2): 403-418.doi: 10.3934/mbe.2008.5.403
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A passivity-based stability criterion for a class of biochemical reaction networks
Murat Arcak, Eduardo D. Sontag
Mathematical Biosciences and Engineering,2008, 5(2): 1-19.doi: 10.3934/mbe.2008.5.1
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Oluwaseun Sharomi, Chandra N. Podder, Abba B. Gumel, Baojun Song
Mathematical Biosciences and Engineering,2008, 5(2): 145-174.doi: 10.3934/mbe.2008.5.145
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Global stability analysis for SEIS models with n latent classes
Napoleon Bame, Samuel Bowong, Josepha Mbang, Gauthier Sallet, Jean-Jules Tewa
Mathematical Biosciences and Engineering,2008, 5(2): 20-33.doi: 10.3934/mbe.2008.5.20
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A storage model with random release rate for modeling exposure to food contaminants
Patrice Bertail, Stéphan Clémençon, Jessica Tressou
Mathematical Biosciences and Engineering,2008, 5(2): 35-60.doi: 10.3934/mbe.2008.5.35
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Nonlinear stability of traveling wavefronts in an age-structured reaction-diffusion population model
Guangrui Li, Ming Mei, Yau Shu Wong
Mathematical Biosciences and Engineering,2008, 5(2): 85-100.doi: 10.3934/mbe.2008.5.85
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Global stability of equilibria in a tick-borne disease model
Shangbing Ai
Mathematical Biosciences and Engineering,2007, 4(2): 567-572.doi: 10.3934/mbe.2007.4.567
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Global analysis of discrete-time SI and SIS epidemic models
Jianquan Li, Zhien Ma, Fred Brauer
Mathematical Biosciences and Engineering,2007, 4(2): 699-710.doi: 10.3934/mbe.2007.4.699
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Effects of predation efficiencies on the dynamics of a tritrophic food chain
Maria Paola Cassinari, Maria Groppi, Claudio Tebaldi
Mathematical Biosciences and Engineering,2007, 4(2): 431-456.doi: 10.3934/mbe.2007.4.431
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Modeling diseases with latency and relapse
P. van den Driessche, Lin Wang, Xingfu Zou
Mathematical Biosciences and Engineering,2007, 4(2): 205-219.doi: 10.3934/mbe.2007.4.205
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Evolutionary dynamics of prey-predator systems with Holling type II functional response
Jian Zu, Wendi Wang, Bo Zu
Mathematical Biosciences and Engineering,2007, 4(2): 221-237.doi: 10.3934/mbe.2007.4.221
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A mathematical model for M-phase specific chemotherapy including the $G_0$-phase and immunoresponse
Wenxiang Liu, Thomas Hillen, H. I. Freedman
Mathematical Biosciences and Engineering,2007, 4(2): 239-259.doi: 10.3934/mbe.2007.4.239
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Subthreshold coexistence of strains: the impact of vaccination and mutation
Maia Martcheva, Mimmo Iannelli, Xue-Zhi Li
Mathematical Biosciences and Engineering,2007, 4(2): 287-317.doi: 10.3934/mbe.2007.4.287
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On the stability of periodic solutions in the perturbed chemostat
Frédéric Mazenc, Michael Malisoff, Patrick D. Leenheer
Mathematical Biosciences and Engineering,2007, 4(2): 319-338.doi: 10.3934/mbe.2007.4.319
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The stability of stationary fronts for a discrete nerve axon model
Christopher E. Elmer
Mathematical Biosciences and Engineering,2007, 4(2): 113-129.doi: 10.3934/mbe.2007.4.113
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Lyapunov functions for tuberculosis models with fast and slow progression
C. Connell Mccluskey
Mathematical Biosciences and Engineering,2006, 3(2): 603-614.doi: 10.3934/mbe.2006.3.603
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On the stabilizing effect of cannibalism in stage-structured population models
Bruno Buonomo, Deborah Lacitignola
Mathematical Biosciences and Engineering,2006, 3(2): 717-731.doi: 10.3934/mbe.2006.3.717
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Stochastic epidemic models with a backward bifurcation
Linda J. S. Allen, P. van den Driessche
Mathematical Biosciences and Engineering,2006, 3(2): 445-458.doi: 10.3934/mbe.2006.3.445
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Competition and Dispersal Delays in Patchy Environments
Nancy Azer, P. van den Driessche
Mathematical Biosciences and Engineering,2006, 3(2): 283-296.doi: 10.3934/mbe.2006.3.283
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Modeling Cancer in HIV-1 Infected Individuals: Equilibria, Cycles and Chaotic Behavior
Jie Lou, Tommaso Ruggeri, Claudio Tebaldi
Mathematical Biosciences and Engineering,2006, 3(2): 313-324.doi: 10.3934/mbe.2006.3.313
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Global Asymptotic Stability and Hopf Bifurcation for a Blood Cell Production Model
Fabien Crauste
Mathematical Biosciences and Engineering,2006, 3(2): 325-346.doi: 10.3934/mbe.2006.3.325
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Energy Considerations in a Model of Nematode Sperm Crawling
Borys V. Bazaliy, Ya. B. Bazaliy, Avner Friedman, Bei Hu
Mathematical Biosciences and Engineering,2006, 3(2): 347-370.doi: 10.3934/mbe.2006.3.347
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The stability of an SIR epidemic model with time delays
Zhen Jin, Zhien Ma
Mathematical Biosciences and Engineering,2006, 3(2): 101-109.doi: 10.3934/mbe.2006.3.101
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A competition model of the chemostat with an external inhibitor
Jianquan Li, Zuren Feng, Juan Zhang, Jie Lou
Mathematical Biosciences and Engineering,2006, 3(2): 111-123.doi: 10.3934/mbe.2006.3.111
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Nonlinear semelparous Leslie models
J. M. Cushing
Mathematical Biosciences and Engineering,2006, 3(2): 17-36.doi: 10.3934/mbe.2006.3.17
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Stability, delay, and chaotic behavior in a Lotka-Volterra predator-prey system
S. Nakaoka, Y. Saito, Y. Takeuchi
Mathematical Biosciences and Engineering,2006, 3(2): 173-187.doi: 10.3934/mbe.2006.3.173
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A nonlinear $L^2$-stability analysis for two-species population dynamics with dispersal
Salvatore Rionero
Mathematical Biosciences and Engineering,2006, 3(2): 189-204.doi: 10.3934/mbe.2006.3.189
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An improved model of t cell development in the thymus and its stability analysis
Hongjing Shi, Wanbiao Ma
Mathematical Biosciences and Engineering,2006, 3(2): 237-248.doi: 10.3934/mbe.2006.3.237
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Epidemic models with nonlinear infection forces
Wendi Wang
Mathematical Biosciences and Engineering,2006, 3(2): 267-279.doi: 10.3934/mbe.2006.3.267
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An allelopathic competition model with quorum sensing and delayed toxicant production
Paolo Fergola, Marianna Cerasuolo, Edoardo Beretta
Mathematical Biosciences and Engineering,2006, 3(2): 37-50.doi: 10.3934/mbe.2006.3.37
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Some bifurcation methods of finding limit cycles
Maoan Han, Tonghua Zhang
Mathematical Biosciences and Engineering,2006, 3(2): 67-77.doi: 10.3934/mbe.2006.3.67
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Differential susceptibility and infectivity epidemic models
James M. Hyman, Jia Li
Mathematical Biosciences and Engineering,2006, 3(2): 89-100.doi: 10.3934/mbe.2006.3.89
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Predator-Prey Dynamics with Disease in the Prey
Peter A. Braza
Mathematical Biosciences and Engineering,2005, 2(2): 703-717.doi: 10.3934/mbe.2005.2.703
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Host Extinction Dynamics in a Simple Parasite-Host Interaction Model
Tzy-Wei Hwang, Yang Kuang
Mathematical Biosciences and Engineering,2005, 2(2): 743-751.doi: 10.3934/mbe.2005.2.743
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Time Delay In Necrotic Core Formation
Marek Bodnar, Urszula Foryś
Mathematical Biosciences and Engineering,2005, 2(2): 461-472.doi: 10.3934/mbe.2005.2.461
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Critical-Point Analysis For Three-Variable Cancer Angiogenesis Models
Urszula Foryś, Yuri Kheifetz, Yuri Kogan
Mathematical Biosciences and Engineering,2005, 2(2): 511-525.doi: 10.3934/mbe.2005.2.511
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The Role Of Time Delays, Slow Processes And Chaos In Modulating The Cell-Cycle Clock
E.V. Presnov, Z. Agur
Mathematical Biosciences and Engineering,2005, 2(2): 625-642.doi: 10.3934/mbe.2005.2.625
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Spatially Distributed Morphogen Production and Morphogen Gradient Formation
Arthur D. Lander, Qing Nie, Frederic Y. M. Wan
Mathematical Biosciences and Engineering,2005, 2(2): 239-262.doi: 10.3934/mbe.2005.2.239
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Two-Species Competition with High Dispersal: The Winning Strategy
S.A. Gourley, Yang Kuang
Mathematical Biosciences and Engineering,2005, 2(2): 345-362.doi: 10.3934/mbe.2005.2.345
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A Simple Epidemic Model with Surprising Dynamics
F. Berezovskaya, G. Karev, Baojun Song, Carlos Castillo-Chavez
Mathematical Biosciences and Engineering,2005, 2(2): 133-152.doi: 10.3934/mbe.2005.2.133
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On Predator-Prey Systems and Small-Gain Theorems
Patrick D. Leenheer, David Angeli, Eduardo D. Sontag
Mathematical Biosciences and Engineering,2005, 2(2): 25-42.doi: 10.3934/mbe.2005.2.25
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Turing instabilities and pattern formation in a benthic nutrient-microorganism system
Martin Baurmann, Wolfgang Ebenhöh, Ulrike Feudel
Mathematical Biosciences and Engineering,2004, 1(2): 111-130.doi: 10.3934/mbe.2004.1.111
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Andrei Korobeinikov, Philip K. Maini
Mathematical Biosciences and Engineering,2004, 1(2): 57-60.doi: 10.3934/mbe.2004.1.57
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Complexity, big data and financial stability
Charilaos Mertzanis
Quantitative Finance and Economics,2018, 2(2): 637-660.doi: 10.3934/QFE.2018.3.637
Abstract + HTML + PDF(507 KB)
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Zeid Al Qaisi, Qais Alsafasfeh, Ahmad Harb
AIMS Energy,2018, 6(2): 832-845.doi: 10.3934/energy.2018.5.832
Abstract + HTML + PDF(1240 KB)
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Viktorija Dičpinigaitienė, Lina Novickytė
Quantitative Finance and Economics,2018, 2(2): 798-820.doi: 10.3934/QFE.2018.4.798
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Dynamics analysis of stochastic tuberculosis model transmission withimmune response
Jean Luc Dimi, Texance Mbaya
AIMS Mathematics,2018, 3(2): 391-408.doi: 10.3934/Math.2018.3.391
Abstract + HTML + PDF(251 KB)
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Dynamical analysis for a hepatitis B transmission model with immigration and infection age
Suxia Zhang, Hongbin Guo, Robert Smith?
Mathematical Biosciences and Engineering,2018, 15(2): 1291-1313.doi: 10.3934/mbe.2018060
Abstract + HTML + PDF(436 KB)
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A cholera mathematical model with vaccination and the biggest outbreak of world’s history
Ana P. Lemos-Paião, Cristiana J. Silva, Delfim F. M. Torres
AIMS Mathematics,2018, 3(2): 448-463.doi: 10.3934/Math.2018.4.448
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Modeling the control of infectious diseases: Effects of TV and social media advertisements
Arvind Kumar Misra, Rajanish Kumar Rai, Yasuhiro Takeuchi
Mathematical Biosciences and Engineering,2018, 15(2): 1315-1343.doi: 10.3934/mbe.2018061
Abstract + HTML + PDF(1627 KB)
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Feng Rao, Carlos Castillo-Chavez, Yun Kang
Mathematical Biosciences and Engineering,2018, 15(2): 1401-1423.doi: 10.3934/mbe.2018064
Abstract + HTML + PDF(1231 KB)
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Review of stability and stabilization for impulsive delayed systems
Xueyan Yang, Xiaodi Li, Qiang Xi, Peiyong Duan
Mathematical Biosciences and Engineering,2018, 15(2): 1495-1515.doi: 10.3934/mbe.2018069
Abstract + HTML + PDF(2010 KB)
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Smoking dynamics with health education effect
Pengcheng Xiao, Zeyu Zhang, Xianbo Sun
AIMS Mathematics,2018, 3(2): 584-599.doi: 10.3934/Math.2018.4.584
-
Dynamics of a delay turbidostat system with contois growth rate
Yong Yao
Mathematical Biosciences and Engineering,2019, 16(2): 56-77.doi: 10.3934/mbe.2019003
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Population dynamic consequences of fearful prey in a spatiotemporal predator-prey system
Ranjit Kumar Upadhyay, Swati Mishra
Mathematical Biosciences and Engineering,2019, 16(2): 338-372.doi: 10.3934/mbe.2019017
Abstract + HTML + PDF(9537 KB)
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Alexis Erich S. Almocera, Sze-Bi Hsu, Polly W. Sy
Mathematical Biosciences and Engineering,2019, 16(2): 516-537.doi: 10.3934/mbe.2019024
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Yipeng Yang
AIMS Electronics and Electrical Engineering,2019, 3(2): 16-32.doi: 10.3934/ElectrEng.2019.1.16
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Modeling the impact of sanitation and awareness on the spread of infectious diseases
Rajanish Kumar Rai, Arvind Kumar Misra, Yasuhiro Takeuchi
Mathematical Biosciences and Engineering,2019, 16(2): 667-700.doi: 10.3934/mbe.2019032
Abstract + HTML + PDF(1585 KB)
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Traveling wave solutions to a neural field model with oscillatory synaptic coupling types
Alan Dyson
Mathematical Biosciences and Engineering,2019, 16(2): 727-758.doi: 10.3934/mbe.2019035
Abstract + HTML + PDF(1085 KB)
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Mathematical modeling the dynamics of Clonorchiasis in Guangzhou City of China
Ruixia Yuan, Shujing Gao, Jicai Huang, Xinan Zhang
Mathematical Biosciences and Engineering,2019, 16(2): 881-897.doi: 10.3934/mbe.2019041
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Modeling the imported malaria to north Africa and the absorption effect of the immigrants
Souâd Yacheur, Ali Moussaoui, Abdessamad Tridane
Mathematical Biosciences and Engineering,2019, 16(2): 967-989.doi: 10.3934/mbe.2019045
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Remarks on a variant of Lyapunov-LaSalle theorem
Songbai Guo, Wanbiao Ma
Mathematical Biosciences and Engineering,2019, 16(2): 1056-1066.doi: 10.3934/mbe.2019050
Abstract + HTML + PDF(659 KB)
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The dynamics of Zika virus with Caputo fractional derivative
Muhammad Altaf Khan, Saif Ullah, Muhammad Farhan
AIMS Mathematics,2019, 4(2): 134-146.doi: 10.3934/Math.2019.1.134
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Stability properties of neural networks with non-instantaneous impulses
Ravi Agarwal, Snezhana Hristova, Donal O’Regan, Radoslava Terzieva
Mathematical Biosciences and Engineering,2019, 16(2): 1210-1227.doi: 10.3934/mbe.2019058
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Sex-structured wild and sterile mosquito population models with different release strategies
Shuyang Xue, Meili Li, Junling Ma, Jia Li
Mathematical Biosciences and Engineering,2019, 16(2): 1313-1333.doi: 10.3934/mbe.2019064
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Analysis of spontaneous emergence of cell polarity with delayed negative feedback
Yue Liu,Wing-Cheong Lo
Mathematical Biosciences and Engineering,2019, 16(2): 1392-1413.doi: 10.3934/mbe.2019068
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Ann Nwankwo, Daniel Okuonghae
Mathematical Biosciences and Engineering,2019, 16(2): 1414-1444.doi: 10.3934/mbe.2019069
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Molecular dynamics study of mechanical properties of HMX–PS interface
Zhimin Cao, Chenhui Xu, Caiwei Xiao, Wei Liu, Jiaohu Huang, Wenjun Zong, Junjie Zhang, Tao Sun
AIMS Materials Science,2019, 6(2): 111-118.doi: 10.3934/matersci.2019.1.111
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A diffusive predator-prey system with prey refuge and predator cannibalism
Yuxuan Zhang, Xinmiao Rong, Jimin Zhang
Mathematical Biosciences and Engineering,2019, 16(2): 1445-1470.doi: 10.3934/mbe.2019070
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Global stability of an age-structured epidemic model with general Lyapunov functional
Abdennasser Chekroun, Mohammed Nor Frioui, Toshikazu Kuniya, Tarik Mohammed Touaoula
Mathematical Biosciences and Engineering,2019, 16(2): 1525-1553.doi: 10.3934/mbe.2019073
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Optimal harvesting of a competitive n-species stochastic model with delayed diffusions
Fangfang Zhu, Xinzhu Meng, Tonghua Zhang
Mathematical Biosciences and Engineering,2019, 16(2): 1554-1574.doi: 10.3934/mbe.2019074
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Global dynamics of an age-structured malaria model with prevention
Zhong-Kai Guo, Hai-Feng Huo, Hong Xiang
Mathematical Biosciences and Engineering,2019, 16(2): 1625-1653.doi: 10.3934/mbe.2019078
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Global dynamics for a multi-group alcoholism model with public health education and alcoholism age
Shuang-Hong Ma, Hai-Feng Huo
Mathematical Biosciences and Engineering,2019, 16(2): 1683-1708.doi: 10.3934/mbe.2019080
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Zenab Alrikaby, Xia Liu, Tonghua Zhang, Federico Frascoli
Mathematical Biosciences and Engineering,2019, 16(2): 1729-1749.doi: 10.3934/mbe.2019083
Abstract + HTML + PDF(1173 KB)
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Discrete time darwinian dynamics and semelparity versus iteroparity
J. M. Cushing
Mathematical Biosciences and Engineering,2019, 16(2): 1815-1835.doi: 10.3934/mbe.2019088
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A mathematical model of oncolytic virotherapy with time delay
Zizi Wang, Zhiming Guo, Hal Smith
Mathematical Biosciences and Engineering,2019, 16(2): 1836-1860.doi: 10.3934/mbe.2019089
Abstract + HTML + PDF(935 KB)
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Dongmei Wu, Hao Wang, Sanling Yuan
Mathematical Biosciences and Engineering,2019, 16(2): 2141-2153.doi: 10.3934/mbe.2019104
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The minimal model of Hahn for the Calvin cycle
Hussein Obeid, Alan D. Rendall
Mathematical Biosciences and Engineering,2019, 16(2): 2353-2370.doi: 10.3934/mbe.2019118
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Hopf bifurcation in a CTL-inclusive HIV-1 infection model with two time delays
Juan Wang, Chunyang Qin, Yuming Chen, Xia Wang
Mathematical Biosciences and Engineering,2019, 16(2): 2587-2612.doi: 10.3934/mbe.2019130
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Muntaser Safan
Mathematical Biosciences and Engineering,2019, 16(2): 2613-2649.doi: 10.3934/mbe.2019131
Abstract + HTML + PDF(1525 KB)
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Xin-You Meng, Yu-Qian Wu
Mathematical Biosciences and Engineering,2019, 16(2): 2668-2696.doi: 10.3934/mbe.2019133
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The impacts of dispersal on the competition outcome of multi-patch competition models
Ali Mai, Guowei Sun, LinWang
Mathematical Biosciences and Engineering,2019, 16(2): 2697-2716.doi: 10.3934/mbe.2019134
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Homologous recombination defects and how they affect replication fork maintenance
Mi Young Son, Paul Hasty
AIMS Genetics,2018, 5(2): 192-211.doi: 10.3934/genet.2018.4.192
Abstract + HTML + PDF(491 KB)
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Bifurcation analysis of a pair-wise epidemic model on adaptive networks
Jinna Lu, Xiaoguang Zhang
Mathematical Biosciences and Engineering,2019, 16(2): 2973-2989.doi: 10.3934/mbe.2019147
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A diffusive SIS epidemic model in a heterogeneous and periodically evolvingenvironment
Liqiong Pu, Zhigui Lin
Mathematical Biosciences and Engineering,2019, 16(2): 3094-3110.doi: 10.3934/mbe.2019153
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Global dynamics of a multi-stage brucellosis model with distributed delays and indirect transmission
Qiang Hou, Haiyan Qin
Mathematical Biosciences and Engineering,2019, 16(2): 3111-3129.doi: 10.3934/mbe.2019154
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Bifurcation analysis of a wild and sterile mosquito model
Xiaoli Wang, Junping Shi, Guohong Zhang
Mathematical Biosciences and Engineering,2019, 16(2): 3215-3234.doi: 10.3934/mbe.2019160
Abstract + HTML + PDF(1079 KB)
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Effects of limited volatiles release by plants in tritrophic interactions
Bruno Buonomo , Francesco Giannino , Stéphanie Saussure , Ezio Venturino
Mathematical Biosciences and Engineering,2019, 16(2): 3331-3344.doi: 10.3934/mbe.2019166
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The differential equation model of pathogenesis of Kawasaki disease with theoretical analysis
Rong Qiang, Wanbiao Ma , Ke Guo, Hongwu Du
Mathematical Biosciences and Engineering,, (2): 3488-3511.doi: 10.3934/mbe.2019175
Abstract + HTML + PDF(908 KB)
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Modelling and analysis of an alcoholism model with treatment and effect of Twitter
Hai-Feng Huo, Shuang-Lin Jing, Xun-Yang Wang, Hong Xiang
Mathematical Biosciences and Engineering,2019, 16(2): 3561-3622.doi: 10.3934/mbe.2019179
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The stochastic extinction and stability conditions for nonlinear malaria epidemics
Divine Wanduku
Mathematical Biosciences and Engineering,2019, 16(2): 3771-3806.doi: 10.3934/mbe.2019187
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Zhichao Jiang, Xiaohua Bi, Tongqian Zhang, B.G. Sampath Aruna Pradeep
Mathematical Biosciences and Engineering,2019, 16(2): 3807-3829.doi: 10.3934/mbe.2019188
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Salihu Sabiu Musa, Shi Zhao, Hei-Shen Chan, Zhen Jin, Daihai He
Mathematical Biosciences and Engineering,2019, 16(2): 3841-3863.doi: 10.3934/mbe.2019190
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Metastability of solitary waves in diatomic FPUT lattices
Nickolas Giardetti, Amy Shapiro, Stephen Windle, J. Douglas Wright
Mathematics in Engineering,2019, 1(2): 419-433.doi: 10.3934/mine.2019.3.419
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Dynamics and spatio-temporal patterns in a prey–predator system with aposematic prey
Sourav Kumar Sasmal, Jeet Banerjee, Yasuhiro Takeuchi
Mathematical Biosciences and Engineering,2019, 16(2): 3864-3884.doi: 10.3934/mbe.2019191
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Bifurcation structure of nonconstant positive steady states for a diffusive predator-prey model
Dongfu Tong, Yongli Cai, Bingxian Wang, Weiming Wang
Mathematical Biosciences and Engineering,2019, 16(2): 3988-4006.doi: 10.3934/mbe.2019197
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Discontinuous solutions for the short-pulse master mode-locking equation
Giuseppe Maria Coclite, Lorenzo di Ruvo
AIMS Mathematics,2019, 4(2): 437-462.doi: 10.3934/math.2019.3.437
Abstract + HTML + PDF(365 KB)
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Eduardo González-Olivares, Claudio Arancibia-Ibarra, Alejandro Rojas-Palma, Betsabé González-Yañez
Mathematical Biosciences and Engineering,2019, 16(2): 4274-4298.doi: 10.3934/mbe.2019213
Abstract + HTML + PDF(1433 KB)
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The effect of the needle exchange program on the spread of some sexually transmitted diseases
Eliza Bánhegyi, Attila Dénes, János Karsai, László Székely
Mathematical Biosciences and Engineering,2019, 16(2): 4506-4525.doi: 10.3934/mbe.2019225
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Banking market competition in Europe—financial stability or fragility enhancing?
Kalle Ahi, Laivi Laidroo
Quantitative Finance and Economics,2019, 3(2): 257-285.doi: 10.3934/QFE.2019.2.257
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Dynamics of a malaria infection model with time delay
Qian Ding, Jian Liu, Zhiming Guo
Mathematical Biosciences and Engineering,2019, 16(2): 4885-4907.doi: 10.3934/mbe.2019246
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Yanjie Hong, Wanbiao Ma
Mathematical Biosciences and Engineering,2019, 16(2): 4936-4946.doi: 10.3934/mbe.2019249
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Fear effect in prey and hunting cooperation among predators in a Leslie-Gower model
Saheb Pal, Nikhil Pal, Sudip Samanta, Joydev Chattopadhyay
Mathematical Biosciences and Engineering,2019, 16(2): 5146-5179.doi: 10.3934/mbe.2019258
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A cholera transmission model incorporating the impact of medical resources
Chayu Yang, Jin Wang
Mathematical Biosciences and Engineering,2019, 16(2): 5226-5246.doi: 10.3934/mbe.2019261
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Analysis on recurrence behavior in oscillating networks of biologically relevant organic reactions
Pei Yu, Xiangyu Wang
Mathematical Biosciences and Engineering,, (2): 5263-5286.doi: 10.3934/mbe.2019263
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Analysis on recurrence behavior in oscillating networks of biologically relevant organic reactions
Pei Yu, Xiangyu Wang
Mathematical Biosciences and Engineering,, (2): 5263-5286.doi: 10.3934/mbe.2019263
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Analysis on recurrence behavior in oscillating networks of biologically relevant organic reactions
Pei Yu, Xiangyu Wang
Mathematical Biosciences and Engineering,2019, 16(2): 5263-5286.doi: 10.3934/mbe.2019263
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The differential equation model of pathogenesis of Kawasaki disease with theoretical analysis
Rong Qiang, Wanbiao Ma, Ke Guo, Hongwu Du
Mathematical Biosciences and Engineering,2019, 16(2): 3488-3511.doi: 10.3934/mbe.2019175
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Dynamics of an SLIR model with nonmonotone incidence rate and stochastic perturbation
Jinhui Zhang, Jingli Ren, Xinan Zhang
Mathematical Biosciences and Engineering,2019, 16(2): 5504-5530.doi: 10.3934/mbe.2019274
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Time-delayed model of autoimmune dynamics
Farzad Fatehi, Yuliya N. Kyrychko, Konstantin B. Blyuss
Mathematical Biosciences and Engineering,2019, 16(2): 5613-5639.doi: 10.3934/mbe.2019279
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Asymptotic analysis of endemic equilibrium to a brucellosis model
Mingtao Li, Xin Pei, Juan Zhang, Li Li
Mathematical Biosciences and Engineering,2019, 16(2): 5836-5850.doi: 10.3934/mbe.2019291
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Xiao Tu, Qinran Zhang, Wei Zhang, Xiufen Zou
Mathematical Biosciences and Engineering,2019, 16(2): 5877-5896.doi: 10.3934/mbe.2019294
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Dynamic analysis of the recurrent epidemic model
Hui Cao, Dongxue Yan, Ao Li
Mathematical Biosciences and Engineering,2019, 16(2): 5972-5990.doi: 10.3934/mbe.2019299
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The impact of media converge on complex networks on disease transmission
Maoxing Liu, Shushu He, Yongzheng Sun
Mathematical Biosciences and Engineering,2019, 16(2): 6335-6349.doi: 10.3934/mbe.2019316
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Zigen Song, Jian Xu, Bin Zhen
Mathematical Biosciences and Engineering,2019, 16(2): 6406-6425.doi: 10.3934/mbe.2019320
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The price adjustment equation with different types of conformable derivatives in market equilibrium
Erdal Bas, Bahar Acay, Ramazan Ozarslan
AIMS Mathematics,2019, 4(2): 805-820.doi: 10.3934/math.2019.3.805
Abstract + HTML + PDF(429 KB)
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Mathematical modeling and analysis of harmful algal blooms in flowing habitats
Sze-Bi Hsu, Feng-Bin Wang, Xiao-Qiang Zhao
Mathematical Biosciences and Engineering,2019, 16(2): 6728-6752.doi: 10.3934/mbe.2019336
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Ting Guo, Zhipeng Qiu
Mathematical Biosciences and Engineering,2019, 16(2): 6822-6841.doi: 10.3934/mbe.2019341
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Shunyi Li
Mathematical Biosciences and Engineering,2019, 16(2): 6934-6961.doi: 10.3934/mbe.2019348
Abstract + HTML + PDF(4811 KB)
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A thorough look at the (in)stability of piston-theoretic beams
Jason Howell, Katelynn Huneycutt, Justin T. Webster, Spencer Wilder
Mathematics in Engineering,2019, 1(2): 614-647.doi: 10.3934/mine.2019.3.614
Abstract + HTML + PDF(3399 KB)
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On the mechanism of antibiotic resistance and fecal microbiota transplantation
Xiaxia Kang, Jie Yan, Fan Huang, Ling Yang
Mathematical Biosciences and Engineering,2019, 16(2): 7057-7084.doi: 10.3934/mbe.2019354
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Modeling epidemic in metapopulation networks with heterogeneous diffusion rates
Maoxing Liu, Jie Zhang, Zhengguang Li, Yongzheng Sun
Mathematical Biosciences and Engineering,2019, 16(2): 7085-7097.doi: 10.3934/mbe.2019355
Abstract + HTML + PDF(5161 KB)
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Davide De Gaetano
Mathematical Biosciences and Engineering,2019, 16(2): 7195-7216.doi: 10.3934/mbe.2019361
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Shihe Xu, Junde Wu
Mathematical Biosciences and Engineering,2019, 16(2): 7433-7446.doi: 10.3934/mbe.2019372
Abstract + HTML + PDF(654 KB)
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Constructing a stable complex index of a system’s quality for a series of observations
Tatyana V. Zhgun
National Accounting Review,2019, 1(2): 42-61.doi: 10.3934/NAR.2019.1.42
Abstract + HTML + PDF(1512 KB)
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Mathematical analysis of an age-structured HIV-1 infection model with CTL immune response
Xiaohong Tian, Rui Xu, Jiazhe Lin
Mathematical Biosciences and Engineering,2019, 16(2): 7850-7882.doi: 10.3934/mbe.2019395
Abstract + HTML + PDF(1977 KB)
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Eduardo González-Olivares, Claudio Arancibia-Ibarra, Alejandro Rojas-Palma, Betsabé González-Yañez
Mathematical Biosciences and Engineering,2019, 16(2): 7995-8024.doi: 10.3934/mbe.2019403
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Mathematical analysis of the Cancitis model and the role of inflammation in blood cancer progression
Zamra Sajid, Morten Andersen, Johnny T. Ottesen
Mathematical Biosciences and Engineering,2019, 16(2): 8268-8289.doi: 10.3934/mbe.2019418
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Conditionally stable unique continuation and applications to thermoacoustic tomography
Plamen Stefanov
Mathematics in Engineering,2019, 1(2): 789-799.doi: 10.3934/mine.2019.4.789
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Behzad Ghanbari, Mustafa Inc, Abdullahi Yusuf, Dumitru Baleanu
AIMS Mathematics,2019, 4(2): 1523-1539.doi: 10.3934/math.2019.6.1523
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Tongqian Zhang, Ning Gao, Tengfei Wang, Hongxia Liu, Zhichao Jiang
Mathematical Biosciences and Engineering,2020, 17(2): 179-201.doi: 10.3934/mbe.2020010
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Wenlong Wang, Chunrui Zhang
Mathematical Biosciences and Engineering,2020, 17(2): 387-403.doi: 10.3934/mbe.2020021
Abstract + HTML + PDF(1006 KB)
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Balázs Boros, Stefan Müller, Georg Regensburger
Mathematical Biosciences and Engineering,2020, 17(2): 442-459.doi: 10.3934/mbe.2020024
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Carsten Conradi, Elisenda Feliu, Maya Mincheva
Mathematical Biosciences and Engineering,2020, 17(2): 494-513.doi: 10.3934/mbe.2020027
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Orbital stability of periodic solutions of an impulsive system with a linear continuous-time part
Alexander N. Churilov
AIMS Mathematics,2020, 5(2): 96-110.doi: 10.3934/math.2020007
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N. H. AlShamrani, A. M. Elaiw
Mathematical Biosciences and Engineering,2020, 17(2): 575-605.doi: 10.3934/mbe.2020030
Abstract + HTML + PDF(2721 KB)
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Yu Chen, Jin Cheng, Giuseppe Floridia, Youichiro Wada, Masahiro Yamamoto
Mathematics in Engineering,2020, 2(2): 26-33.doi: 10.3934/mine.2020002
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A black swan and canard cascades in an SIR infectious disease model
Andrei Korobeinikov, Elena Shchepakina, Vladimir Sobolev
Mathematical Biosciences and Engineering,2020, 17(2): 725-736.doi: 10.3934/mbe.2020037
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Shadrack Mubanga Chisenga, Tilahun Seyoum Workneh, Geremew Bultosa, Mark Laing
AIMS Agriculture and Food,2019, 4(2): 939-966.doi: 10.3934/agrfood.2019.4.939
Abstract + HTML + PDF(787 KB)
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Saswati Biswas, Pankaj Kumar Tiwari, Yun Kang, Samares Pal
Mathematical Biosciences and Engineering,2020, 17(2): 1272-1317.doi: 10.3934/mbe.2020065
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Mostafa Adimy, Abdennasser Chekroun, Claudia Pio Ferreira
Mathematical Biosciences and Engineering,2020, 17(2): 1329-1354.doi: 10.3934/mbe.2020067
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Nayyar Mehmood, Niaz Ahmad
AIMS Mathematics,2020, 5(2): 385-398.doi: 10.3934/math.2020026
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Global stability analysis of a viral infection model in a critical case
Wei Wang, Xiulan Lai
Mathematical Biosciences and Engineering,2020, 17(2): 1442-1449.doi: 10.3934/mbe.2020074
Abstract + HTML + PDF(595 KB)
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Ran Zhang, Shengqiang Liu
Mathematical Biosciences and Engineering,2020, 17(2): 1450-1478.doi: 10.3934/mbe.2020075
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Mechanical properties of hot-mix asphalt using waste crumber rubber and phenol formaldehyde polymer
Mushtaq Ahmad, Salmia Beddu, Shah Hussain, Aneel Manan, Zarina binti Itam
AIMS Materials Science,2019, 6(2): 1164-1175.doi: 10.3934/matersci.2019.6.1164
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Albert Henry Ntarmah, Yusheng Kong, Michael Kobina Gyan
Quantitative Finance and Economics,2019, 3(2): 709-738.doi: 10.3934/QFE.2019.4.709
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Periodic mild solutions of impulsive fractional evolution equations
Lulu Ren, JinRong Wang, Michal Fečkan
AIMS Mathematics,2020, 5(2): 497-506.doi: 10.3934/math.2020033