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Mathematical Biosciences and Engineering, 2005, 2(1): 97-109. doi: 10.3934/mbe.2005.2.97
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The Effect of Different Forms for the Delay in A Model of the Nephron
1. Department of Mathematics and Statistics, Surrey University, Guildford, Surrey, UK GU2 7SW
Received date: , Published date:
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Mathematical Biosciences and Engineering,2010, 7(1): 837-850.doi: 10.3934/mbe.2010.7.837
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On the interaction between the immune system and an exponentially replicating pathogen
Alberto d'Onofrio
Mathematical Biosciences and Engineering,2010, 7(1): 579-602.doi: 10.3934/mbe.2010.7.579
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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(1): 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(1): 675-685.doi: 10.3934/mbe.2010.7.675
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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(1): 347-361.doi: 10.3934/mbe.2010.7.347
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Mathematically modeling PCR: An asymptotic approximation with potential for optimization
Martha Garlick, James Powell, David Eyre, Thomas Robbins
Mathematical Biosciences and Engineering,2010, 7(1): 363-384.doi: 10.3934/mbe.2010.7.363
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Felicia Maria G. Magpantay, Xingfu Zou
Mathematical Biosciences and Engineering,2010, 7(1): 421-442.doi: 10.3934/mbe.2010.7.421
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Modeling the interaction of cytotoxic T lymphocytes and influenza virus infected epithelial cells
Abdessamad Tridane, Yang Kuang
Mathematical Biosciences and Engineering,2010, 7(1): 171-185.doi: 10.3934/mbe.2010.7.171
-
Novel stability results for traveling wavefronts in an age-structured reaction-diffusion equation
Ming Mei, Yau Shu Wong
Mathematical Biosciences and Engineering,2009, 6(1): 743-752.doi: 10.3934/mbe.2009.6.743
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Patrick Nelson, Noah Smith, Stanca Ciupe, Weiping Zou, Gilbert S. Omenn, Massimo Pietropaolo
Mathematical Biosciences and Engineering,2009, 6(1): 753-778.doi: 10.3934/mbe.2009.6.753
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Novel design of drug delivery in stented arteries: A numerical comparative study
Mario Grassi, Giuseppe Pontrelli, Luciano Teresi, Gabriele Grassi, Lorenzo Comel, Alessio Ferluga, Luigi Galasso
Mathematical Biosciences and Engineering,2009, 6(1): 493-508.doi: 10.3934/mbe.2009.6.493
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A spatial model of tumor-host interaction: Application of chemotherapy
Peter Hinow, Philip Gerlee, Lisa J. McCawley, Vito Quaranta, Madalina Ciobanu, Shizhen Wang, Jason M. Graham, Bruce P. Ayati, Jonathan Claridge, Kristin R. Swanson, Mary Loveless, Alexander R. A. Anderson
Mathematical Biosciences and Engineering,2009, 6(1): 521-546.doi: 10.3934/mbe.2009.6.521
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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(1): 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(1): 629-647.doi: 10.3934/mbe.2009.6.629
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The dynamics of a delay model of hepatitis B virus infection with logistic hepatocyte growth
Steffen Eikenberry, Sarah Hews, John D. Nagy, Yang Kuang
Mathematical Biosciences and Engineering,2009, 6(1): 283-299.doi: 10.3934/mbe.2009.6.283
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Culling structured hosts to eradicate vector-borne diseases
Xinli Hu, Yansheng Liu, Jianhong Wu
Mathematical Biosciences and Engineering,2009, 6(1): 301-319.doi: 10.3934/mbe.2009.6.301
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Permanence for two-species Lotka-Volterra cooperative systems with delays
Guichen Lu, Zhengyi Lu
Mathematical Biosciences and Engineering,2008, 5(1): 477-484.doi: 10.3934/mbe.2008.5.477
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Gesham Magombedze, Winston Garira, Eddie Mwenje
Mathematical Biosciences and Engineering,2008, 5(1): 485-504.doi: 10.3934/mbe.2008.5.485
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A deterministic model of schistosomiasis with spatial structure
Fabio Augusto Milner, Ruijun Zhao
Mathematical Biosciences and Engineering,2008, 5(1): 505-522.doi: 10.3934/mbe.2008.5.505
-
Modeling the rapid spread of avian influenza (H5N1) in India
Arni S.R. Srinivasa Rao
Mathematical Biosciences and Engineering,2008, 5(1): 523-537.doi: 10.3934/mbe.2008.5.523
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Optimal control of vaccine distribution in a rabies metapopulation model
Erika Asano, Louis J. Gross, Suzanne Lenhart, Leslie A. Real
Mathematical Biosciences and Engineering,2008, 5(1): 219-238.doi: 10.3934/mbe.2008.5.219
-
Morphogenesis of the tumor patterns
Elena Izquierdo-Kulich, José Manuel Nieto-Villar
Mathematical Biosciences and Engineering,2008, 5(1): 299-313.doi: 10.3934/mbe.2008.5.299
-
SEIR epidemiological model with varying infectivity and infinite delay
Gergely Röst, Jianhong Wu
Mathematical Biosciences and Engineering,2008, 5(1): 389-402.doi: 10.3934/mbe.2008.5.389
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The role of leaf height in plant competition for sunlight: analysis of a canopy partitioning model
Andrew L. Nevai, Richard R. Vance
Mathematical Biosciences and Engineering,2008, 5(1): 101-124.doi: 10.3934/mbe.2008.5.101
-
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(1): 85-100.doi: 10.3934/mbe.2008.5.85
-
Modelling periodic oscillations during somitogenesis
Peng Feng, Menaka Navaratna
Mathematical Biosciences and Engineering,2007, 4(1): 661-673.doi: 10.3934/mbe.2007.4.661
-
Final and peak epidemic sizes for SEIR models with quarantine and isolation
Z. Feng
Mathematical Biosciences and Engineering,2007, 4(1): 675-686.doi: 10.3934/mbe.2007.4.675
-
Sensitivity of dynamical systems to parameters in a convex subset of a topological vector space
H.T. Banks, S. Dediu, H.K. Nguyen
Mathematical Biosciences and Engineering,2007, 4(1): 403-430.doi: 10.3934/mbe.2007.4.403
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Modeling diseases with latency and relapse
P. van den Driessche, Lin Wang, Xingfu Zou
Mathematical Biosciences and Engineering,2007, 4(1): 205-219.doi: 10.3934/mbe.2007.4.205
-
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(1): 239-259.doi: 10.3934/mbe.2007.4.239
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The role of delays in innate and adaptive immunity to intracellular bacterial infection
Simeone Marino, Edoardo Beretta, Denise E. Kirschner
Mathematical Biosciences and Engineering,2007, 4(1): 261-286.doi: 10.3934/mbe.2007.4.261
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Sun Yi, Patrick W. Nelson, A. Galip Ulsoy
Mathematical Biosciences and Engineering,2007, 4(1): 355-368.doi: 10.3934/mbe.2007.4.355
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Heiko Enderling, Alexander R.A. Anderson, Mark A.J. Chaplain, Glenn W.A. Rowe
Mathematical Biosciences and Engineering,2006, 3(1): 571-582.doi: 10.3934/mbe.2006.3.571
-
Modeling the potential impact of rectal microbicides to reduce HIV transmission in bathhouses
Romulus Breban, Ian McGowan, Chad Topaz, Elissa J. Schwartz, Peter Anton, Sally Blower
Mathematical Biosciences and Engineering,2006, 3(1): 459-466.doi: 10.3934/mbe.2006.3.459
-
The influence of infectious diseases on population genetics
Zhilan Feng, Carlos Castillo-Chavez
Mathematical Biosciences and Engineering,2006, 3(1): 467-483.doi: 10.3934/mbe.2006.3.467
-
Global dynamics of a staged progression model for infectious diseases
Hongbin Guo, Michael Yi Li
Mathematical Biosciences and Engineering,2006, 3(1): 513-525.doi: 10.3934/mbe.2006.3.513
-
Mathematical epidemiology of HIV/AIDS in cuba during the period 1986-2000
Brandy Rapatski, Petra Klepac, Stephen Dueck, Maoxing Liu, Leda Ivic Weiss
Mathematical Biosciences and Engineering,2006, 3(1): 545-556.doi: 10.3934/mbe.2006.3.545
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Competition and Dispersal Delays in Patchy Environments
Nancy Azer, P. van den Driessche
Mathematical Biosciences and Engineering,2006, 3(1): 283-296.doi: 10.3934/mbe.2006.3.283
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Global Asymptotic Stability and Hopf Bifurcation for a Blood Cell Production Model
Fabien Crauste
Mathematical Biosciences and Engineering,2006, 3(1): 325-346.doi: 10.3934/mbe.2006.3.325
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Simulation of Pulsatile Flow of Blood in Stenosed Coronary Artery Bypass with Graft
B. Wiwatanapataphee, D. Poltem, Yong Hong Wu, Y. Lenbury
Mathematical Biosciences and Engineering,2006, 3(1): 371-383.doi: 10.3934/mbe.2006.3.371
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Analysis of Blood Flow Velocity and Pressure Signals using the Multipulse Method
Derek H. Justice, H. Joel Trussell, Mette S. Olufsen
Mathematical Biosciences and Engineering,2006, 3(1): 419-440.doi: 10.3934/mbe.2006.3.419
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The stability of an SIR epidemic model with time delays
Zhen Jin, Zhien Ma
Mathematical Biosciences and Engineering,2006, 3(1): 101-109.doi: 10.3934/mbe.2006.3.101
-
Permanence for two-species Lotka-Volterra systems with delays
Suqing Lin, Zhengyi Lu
Mathematical Biosciences and Engineering,2006, 3(1): 137-144.doi: 10.3934/mbe.2006.3.137
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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(1): 173-187.doi: 10.3934/mbe.2006.3.173
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Competing species models with an infectious disease
Roberto A. Saenz, Herbert W. Hethcote
Mathematical Biosciences and Engineering,2006, 3(1): 219-235.doi: 10.3934/mbe.2006.3.219
-
An improved model of t cell development in the thymus and its stability analysis
Hongjing Shi, Wanbiao Ma
Mathematical Biosciences and Engineering,2006, 3(1): 237-248.doi: 10.3934/mbe.2006.3.237
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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(1): 37-50.doi: 10.3934/mbe.2006.3.37
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The Role of Vaccination in the Control of SARS
Julijana Gjorgjieva, Kelly Smith, Gerardo Chowell, Fabio Sánchez, Jessica Snyder, Carlos Castillo-Chavez
Mathematical Biosciences and Engineering,2005, 2(1): 753-769.doi: 10.3934/mbe.2005.2.753
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The Effect of the HIV/AIDS Epidemic on Africa's Truck Drivers
Christopher M. Kribs-Zaleta, Melanie Lee, Christine Román, Shari Wiley, Carlos M. Hernández-Suárez
Mathematical Biosciences and Engineering,2005, 2(1): 771-788.doi: 10.3934/mbe.2005.2.771
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A Mathematical Model for Fibroblast Growth Factor Competition Based on Enzyme
Justin P. Peters, Khalid Boushaba, Marit Nilsen-Hamilton
Mathematical Biosciences and Engineering,2005, 2(1): 789-810.doi: 10.3934/mbe.2005.2.789
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A two-strain HIV-1 mathematical model to assess the effects of chemotherapy on disease parameters
Tinevimbo Shiri, Winston Garira, Senelani D. Musekwa
Mathematical Biosciences and Engineering,2005, 2(1): 811-832.doi: 10.3934/mbe.2005.2.811
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Using Mathematical Modeling as a Resource in Clinical Trials
Evans K. Afenya
Mathematical Biosciences and Engineering,2005, 2(1): 421-436.doi: 10.3934/mbe.2005.2.421
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Time Delay In Necrotic Core Formation
Marek Bodnar, Urszula Foryś
Mathematical Biosciences and Engineering,2005, 2(1): 461-472.doi: 10.3934/mbe.2005.2.461
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Interactions of Neanderthals and Modern Humans: What Can Be Inferred from Mitochondrial DNA?
Krzysztof A. Cyran, Marek Kimmel
Mathematical Biosciences and Engineering,2005, 2(1): 487-498.doi: 10.3934/mbe.2005.2.487
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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(1): 511-525.doi: 10.3934/mbe.2005.2.511
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On Fitting Of Mathematical Models Of Cell Signaling Pathways Using Adjoint Systems
Krzysztof Fujarewicz, Marek Kimmel, Andrzej Swierniak
Mathematical Biosciences and Engineering,2005, 2(1): 527-534.doi: 10.3934/mbe.2005.2.527
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Suman Ganguli, David Gammack, Denise E. Kirschner
Mathematical Biosciences and Engineering,2005, 2(1): 535-560.doi: 10.3934/mbe.2005.2.535
-
Islam A. Moneim, David Greenhalgh
Mathematical Biosciences and Engineering,2005, 2(1): 591-611.doi: 10.3934/mbe.2005.2.591
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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(1): 239-262.doi: 10.3934/mbe.2005.2.239
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A mathematical model for treatment-resistant mutations of HIV
Helen Moore, Weiqing Gu
Mathematical Biosciences and Engineering,2005, 2(1): 363-380.doi: 10.3934/mbe.2005.2.363
-
John D. Nagy
Mathematical Biosciences and Engineering,2005, 2(1): 381-418.doi: 10.3934/mbe.2005.2.381
-
Modelling Population Growth with Delayed Nonlocal Reaction in 2-Dimensions
Dong Liang, Jianhong Wu, Fan Zhang
Mathematical Biosciences and Engineering,2005, 2(1): 111-132.doi: 10.3934/mbe.2005.2.111
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Guanyu Wang
Mathematical Biosciences and Engineering,2005, 2(1): 153-168.doi: 10.3934/mbe.2005.2.153
-
Guanyu Wang, Gerhard R. F. Krueger
Mathematical Biosciences and Engineering,2004, 1(1): 289-305.doi: 10.3934/mbe.2004.1.289
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Joseph D. Skufca, Erik M. Bollt
Mathematical Biosciences and Engineering,2004, 1(1): 347-359.doi: 10.3934/mbe.2004.1.347
-
Critical role of nosocomial transmission in the Toronto SARS outbreak
Glenn Webb, Martin J. Blaser, Huaiping Zhu, Sten Ardal, Jianhong Wu
Mathematical Biosciences and Engineering,2004, 1(1): 1-13.doi: 10.3934/mbe.2004.1.1
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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(1): 448-463.doi: 10.3934/Math.2018.4.448
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Feng Rao, Carlos Castillo-Chavez, Yun Kang
Mathematical Biosciences and Engineering,2018, 15(1): 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(1): 1495-1515.doi: 10.3934/mbe.2018069
Abstract + HTML + PDF(2010 KB)
-
Smoking dynamics with health education effect
Pengcheng Xiao, Zeyu Zhang, Xianbo Sun
AIMS Mathematics,2018, 3(1): 584-599.doi: 10.3934/Math.2018.4.584
-
Stochastic modeling of algal bloom dynamics with delayed nutrient recycling
Xuehui Ji, Sanling Yuan, Tonghua Zhang, Huaiping Zhu
Mathematical Biosciences and Engineering,2019, 16(1): 1-24.doi: 10.3934/mbe.2019001
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Dynamics of a delay turbidostat system with contois growth rate
Yong Yao
Mathematical Biosciences and Engineering,2019, 16(1): 56-77.doi: 10.3934/mbe.2019003
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Modeling nutrient and disease dynamics in a plant-pathogen system
Bruce Pell, Amy E. Kendig, Elizabeth T. Borer, Yang Kuang
Mathematical Biosciences and Engineering,2019, 16(1): 234-264.doi: 10.3934/mbe.2019013
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Optimal control for HIV treatment
Gordon Akudibillah, Abhishek Pandey, Jan Medlock
Mathematical Biosciences and Engineering,2019, 16(1): 373-396.doi: 10.3934/mbe.2019018
Abstract + HTML + PDF(849 KB)
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Yipeng Yang
AIMS Electronics and Electrical Engineering,2019, 3(1): 16-32.doi: 10.3934/ElectrEng.2019.1.16
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Yang Li, Jia Li
Mathematical Biosciences and Engineering,2019, 16(1): 572-602.doi: 10.3934/mbe.2019028
Abstract + HTML + PDF(810 KB)
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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(1): 667-700.doi: 10.3934/mbe.2019032
Abstract + HTML + PDF(1585 KB)
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The spread of a financial virus through Europe and beyond
Olena Kostylenko, Helena Sofia Rodrigues, Delfim F. M. Torres
AIMS Mathematics,2019, 4(1): 86-98.doi: 10.3934/Math.2019.1.86
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Lyapunov functional for virus infection model with diffusion and state-dependent delays
Jitai Liang, Junjie Wei
Mathematical Biosciences and Engineering,2019, 16(1): 947-966.doi: 10.3934/mbe.2019044
-
Irakli Loladze
Mathematical Biosciences and Engineering,2019, 16(1): 990-1004.doi: 10.3934/mbe.2019046
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Remarks on a variant of Lyapunov-LaSalle theorem
Songbai Guo, Wanbiao Ma
Mathematical Biosciences and Engineering,2019, 16(1): 1056-1066.doi: 10.3934/mbe.2019050
Abstract + HTML + PDF(659 KB)
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Optimal dengue vaccination strategies of seropositive individuals
Eunha Shim
Mathematical Biosciences and Engineering,2019, 16(1): 1171-1189.doi: 10.3934/mbe.2019056
Abstract + HTML + PDF(870 KB)
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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(1): 1392-1413.doi: 10.3934/mbe.2019068
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Ann Nwankwo, Daniel Okuonghae
Mathematical Biosciences and Engineering,2019, 16(1): 1414-1444.doi: 10.3934/mbe.2019069
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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(1): 1554-1574.doi: 10.3934/mbe.2019074
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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(1): 1836-1860.doi: 10.3934/mbe.2019089
Abstract + HTML + PDF(935 KB)
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Changgui Gu, Ping Wang, Tongfeng Weng, Huijie Yang, Jos Rohling
Mathematical Biosciences and Engineering,2019, 16(1): 1893-1913.doi: 10.3934/mbe.2019092
-
Chenxi Dai, ZhiWang, Weiming Wang, Yongqin Li, Kaifa Wang
Mathematical Biosciences and Engineering,2019, 16(1): 2168-2188.doi: 10.3934/mbe.2019106
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Global dynamics of a di usive single species model with periodic delay
Yan Zhang, Sanyang Liu, Zhenguo Bai
Mathematical Biosciences and Engineering,2019, 16(1): 2293-2304.doi: 10.3934/mbe.2019114
Abstract + HTML + PDF(615 KB)
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Traveling waves of di usive disease models with time delay and degeneracy
Xiao-Min Huang, Xiang-ShengWang
Mathematical Biosciences and Engineering,2019, 16(1): 2391-2410.doi: 10.3934/mbe.2019120
Abstract + HTML + PDF(639 KB)
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Kalyan Manna, Malay Banerjee
Mathematical Biosciences and Engineering,2019, 16(1): 2411-2446.doi: 10.3934/mbe.2019121
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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(1): 2587-2612.doi: 10.3934/mbe.2019130
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Melt flow of biopolymer through the cavities of an extruder die: Mathematical modelling
Alexander N. Ostrikov, Abdymanap A. Ospanov, Vitaly N. Vasilenko, Nurzhan Zh. Muslimov, Aigul K. Timurbekova, Gulnara B. Jumabekova
Mathematical Biosciences and Engineering,2019, 16(1): 2875-2905.doi: 10.3934/mbe.2019142
Abstract + HTML + PDF(1093 KB)
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Survival analysis of an impulsive stochastic delay logistic model with L´evy jumps
Chun Lu, Bing Li, Limei Zhou, Liwei Zhang
Mathematical Biosciences and Engineering,2019, 16(1): 3251-3271.doi: 10.3934/mbe.2019162
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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(1): 3331-3344.doi: 10.3934/mbe.2019166
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Zhimin Wu, Tin Phan, Javier Baez, Yang Kuang, Eric J. Kostelich
Mathematical Biosciences and Engineering,2019, 16(1): 3512-3536.doi: 10.3934/mbe.2019176
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Andrea Guazzini, Enrico Imbimbo, Federica Stefanelli, Franco Bagnoli, Ezio Venturino
Mathematical Biosciences and Engineering,2019, 16(1): 3718-3733.doi: 10.3934/mbe.2019184
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Zhichao Jiang, Xiaohua Bi, Tongqian Zhang, B.G. Sampath Aruna Pradeep
Mathematical Biosciences and Engineering,2019, 16(1): 3807-3829.doi: 10.3934/mbe.2019188
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Changjin Xu , Maoxin Liao, Peiluan Li, Qimei Xiao, Shuai Yuan
Mathematical Biosciences and Engineering,2019, 16(1): 3830-3840.doi: 10.3934/mbe.2019189
-
Salihu Sabiu Musa, Shi Zhao, Hei-Shen Chan, Zhen Jin, Daihai He
Mathematical Biosciences and Engineering,2019, 16(1): 3841-3863.doi: 10.3934/mbe.2019190
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Time dependent risk of cytomegalovirus infection in Japan
Y. Sakamoto, H. Nishiura
Mathematical Biosciences and Engineering,2019, 16(1): 4082-4091.doi: 10.3934/mbe.2019202
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Exploring the dynamics of a tritrophic food chain model with multiple gestation periods
Ranjit Kumar Upadhyay, Swati Mishra, Yueping Dong, Yasuhiro Takeuchi
Mathematical Biosciences and Engineering,2019, 16(1): 4660-4691.doi: 10.3934/mbe.2019234
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Mugen Huang, Moxun Tang, Jianshe Yu, Bo Zheng
Mathematical Biosciences and Engineering,2019, 16(1): 4741-4757.doi: 10.3934/mbe.2019238
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Threshold dynamics of a time-delayed hantavirus infection model in periodic environments
Junli Liu
Mathematical Biosciences and Engineering,2019, 16(1): 4758-4776.doi: 10.3934/mbe.2019239
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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(1): 4885-4907.doi: 10.3934/mbe.2019246
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Yanjie Hong, Wanbiao Ma
Mathematical Biosciences and Engineering,2019, 16(1): 4936-4946.doi: 10.3934/mbe.2019249
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On an age structured population model with density-dependent dispersals between two patches
Chang-Yuan Cheng, Shyan-Shiou Chen, Xingfu Zou
Mathematical Biosciences and Engineering,2019, 16(1): 4976-4998.doi: 10.3934/mbe.2019251
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OPhir Nave, Shlomo Hareli, Miriam Elbaz, Itzhak Hayim Iluz, Svetlana Bunimovich-Mendrazitsky
Mathematical Biosciences and Engineering,2019, 16(1): 5346-5379.doi: 10.3934/mbe.2019267
Abstract + HTML + PDF(1206 KB)
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Tyler Cassidy, Morgan Craig, Antony R. Humphries
Mathematical Biosciences and Engineering,2019, 16(1): 5419-5450.doi: 10.3934/mbe.2019270
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Time-delayed model of autoimmune dynamics
Farzad Fatehi, Yuliya N. Kyrychko, Konstantin B. Blyuss
Mathematical Biosciences and Engineering,2019, 16(1): 5613-5639.doi: 10.3934/mbe.2019279
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Rajesh Dhayal, Muslim Malik, Syed Abbas
AIMS Mathematics,2019, 4(1): 663-683.doi: 10.3934/math.2019.3.663
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Anarina L. Murillo, Jiaxu Li, Carlos Castillo-Chavez
Mathematical Biosciences and Engineering,2019, 16(1): 5765-5787.doi: 10.3934/mbe.2019288
Abstract + HTML + PDF(966 KB)
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Anarina L. Murillo, Jiaxu Li, Carlos Castillo-Chavez
AIMS Environmental Science,2019, 16(1): 5765-5787.doi: 10.3934/mbe.2019288
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Arsalan D. Mizhidon
AIMS Mathematics,2019, 4(1): 751-762.doi: 10.3934/math.2019.3.751
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Ivan Jandrlić, Stoja Rešković, Dušan Ćurčija, Ladislav Lazić, Tin Brlić
AIMS Materials Science,2019, 6(1): 601-609.doi: 10.3934/matersci.2019.4.601
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Mathematical modeling of tumor growth: the MCF-7 breast cancer cell line
Hsiu-Chuan Wei
Mathematical Biosciences and Engineering,2019, 16(1): 6512-6535.doi: 10.3934/mbe.2019325
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Aziz Belmiloudi
AIMS Mathematics,2019, 4(1): 928-983.doi: 10.3934/math.2019.3.928
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Shunyi Li
Mathematical Biosciences and Engineering,2019, 16(1): 6934-6961.doi: 10.3934/mbe.2019348
Abstract + HTML + PDF(4811 KB)
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A mathematical model of chromosome recombination-induced drug resistance in cancer therapy
Hongli Yang, Jinzhi Lei
Mathematical Biosciences and Engineering,2019, 16(1): 7098-7111.doi: 10.3934/mbe.2019356
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Yan Wang, Tingting Zhao, Jun Liu
Mathematical Biosciences and Engineering,2019, 16(1): 7126-7154.doi: 10.3934/mbe.2019358
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Samantha L Elliott, Emek Kose, Allison L Lewis, Anna E Steinfeld, Elizabeth A Zollinger
Mathematical Biosciences and Engineering,2019, 16(1): 7177-7194.doi: 10.3934/mbe.2019360
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Oscillation threshold for a mosquito population suppression model with time delay
Yuanxian Hui, Genghong Lin, Qiwen Sun
Mathematical Biosciences and Engineering,2019, 16(1): 7362-7374.doi: 10.3934/mbe.2019367
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Shihe Xu, Junde Wu
Mathematical Biosciences and Engineering,2019, 16(1): 7433-7446.doi: 10.3934/mbe.2019372
Abstract + HTML + PDF(654 KB)
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Jie Hu, Yangyang Wang, Yuwei Ma, Jiangxiong Wei, Qijun Yu
Mathematical Biosciences and Engineering,2019, 16(1): 7510-7525.doi: 10.3934/mbe.2019377
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Mathematical investigation of HBeAg seroclearance
Sarah Kadelka, Stanca M Ciupe
Mathematical Biosciences and Engineering,2019, 16(1): 7616-7658.doi: 10.3934/mbe.2019382
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Effect of adaptive rewiring delay in an SIS network epidemic model
Jing Li, Zhen Jin, Yuan Yuan
AIMS Mathematics,2019, 16(1): 8092-8108.doi: 10.3934/mbe.2019407
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Effect of adaptive rewiring delay in an SIS network epidemic model
Jing Li, Zhen Jin, Yuan Yuan
Mathematical Biosciences and Engineering,2019, 16(1): 8092-8108.doi: 10.3934/mbe.2019407
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Effect of adaptive rewiring delay in an SIS network epidemic model
Jing Li, Zhen Jin, Yuan Yuan
Mathematical Biosciences and Engineering,2019, 16(1): 8092-8108.doi: 10.3934/mbe.2019407
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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(1): 8268-8289.doi: 10.3934/mbe.2019418
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A type of block withholding delay attack and the countermeasure based on type-2 fuzzy inference
Liang Liu, Wen Chen, Lei Zhang, JiaYong Liu, Jian Qin
Mathematical Biosciences and Engineering,2020, 17(1): 309-327.doi: 10.3934/mbe.2020017
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Wenlong Wang, Chunrui Zhang
Mathematical Biosciences and Engineering,2020, 17(1): 387-403.doi: 10.3934/mbe.2020021
Abstract + HTML + PDF(1006 KB)
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Testing the limits of cardiac electrophysiology models through systematic variation of current
Binaya Tuladhar, Hana M. Dobrovolny
AIMS Mathematics,2020, 5(1): 140-157.doi: 10.3934/math.2020009
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Mathematical modeling of brain metabolites variations in the circadian rhythm
Laura Hatchondo, Carole Guillevin, Mathieu Naudin, Laurence Cherfils, Alain Miranville, Rémy Guillevin
AIMS Mathematics,2020, 5(1): 216-225.doi: 10.3934/math.2020013
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Modeling the immune system response: an application to leishmaniasis
Ephraim O. Agyingi, Tamas I. Wiandt, Laurence U. Buxbaum, Bolaji N. Thomas
Mathematical Biosciences and Engineering,2020, 17(1): 1253-1271.doi: 10.3934/mbe.2020064
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Mohammed Shehu Shagari, Akbar Azam
AIMS Mathematics,2020, 5(1): 342-358.doi: 10.3934/math.2020023
Abstract + HTML + PDF(396 KB)
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Saswati Biswas, Pankaj Kumar Tiwari, Yun Kang, Samares Pal
Mathematical Biosciences and Engineering,2020, 17(1): 1272-1317.doi: 10.3934/mbe.2020065
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Mostafa Adimy, Abdennasser Chekroun, Claudia Pio Ferreira
Mathematical Biosciences and Engineering,2020, 17(1): 1329-1354.doi: 10.3934/mbe.2020067
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Micaela Morettini, Christian Göbl, Alexandra Kautzky-Willer, Giovanni Pacini, Andrea Tura, Laura Burattini
Mathematical Biosciences and Engineering,2020, 17(1): 1604-1615.doi: 10.3934/mbe.2020084
Abstract + HTML + PDF(897 KB)