Mathematical Biosciences and Engineering

Global stability of the steady states of an epidemic model incorporating intervention strategies

Yongli Cai, Yun Kang, Weiming Wang

2017, Volume 14, Issue 5&6: 1071-1089. doi: 10.3934/mbe.2017056

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Effect of seasonal changing temperature on the growth of phytoplankton

Ming Chen, Meng Fan, Xing Yuan, Huaiping Zhu

2017, Volume 14, Issue 5&6: 1091-1117. doi: 10.3934/mbe.2017057

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Effects of isolation and slaughter strategies in different species on emerging zoonoses

Jing-An Cui, Fangyuan Chen

2017, Volume 14, Issue 5&6: 1119-1140. doi: 10.3934/mbe.2017058

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An SIR epidemic model with vaccination in a patchy environment

Qianqian Cui, Zhipeng Qiu, Ling Ding

2017, Volume 14, Issue 5&6: 1141-1157. doi: 10.3934/mbe.2017059

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Global dynamics of a vector-host epidemic model with age of infection

Yan-Xia Dang, Zhi-Peng Qiu, Xue-Zhi Li, Maia Martcheva

2017, Volume 14, Issue 5&6: 1159-1186. doi: 10.3934/mbe.2017060

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Invasion entire solutions in a time periodic Lotka-Volterra competition system with diffusion

Li-Jun Du, Wan-Tong Li, Jia-Bing Wang

2017, Volume 14, Issue 5&6: 1187-1213. doi: 10.3934/mbe.2017061

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Structural calculations and propagation modeling of growing networks based on continuous degree

Junbo Jia, Zhen Jin, Lili Chang, Xinchu Fu

2017, Volume 14, Issue 5&6: 1215-1232. doi: 10.3934/mbe.2017062

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Global dynamics of a delay virus model with recruitment and saturation effects of immune responses

Cuicui Jiang, Kaifa Wang, Lijuan Song

2017, Volume 14, Issue 5&6: 1233-1246. doi: 10.3934/mbe.2017063

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Theoretical investigation on models of circadian rhythms based on dimerization and proteolysis of PER and TIM

Jifa Jiang, Qiang Liu, Lei Niu

2017, Volume 14, Issue 5&6: 1247-1259. doi: 10.3934/mbe.2017064

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Modulation of first-passage time for bursty gene expression via random signals

Qiuying Li, Lifang Huang, Jianshe Yu

2017, Volume 14, Issue 5&6: 1261-1277. doi: 10.3934/mbe.2017065

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A mathematical model for the seasonal transmission of schistosomiasis in the lake and marshland regions of China

Yingke Li, Zhidong Teng, Shigui Ruan, Mingtao Li, Xiaomei Feng

2017, Volume 14, Issue 5&6: 1279-1299. doi: 10.3934/mbe.2017066

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Modeling co-infection of Ixodes tick-borne pathogens

Yijun Lou, Li Liu, Daozhou Gao

2017, Volume 14, Issue 5&6: 1301-1316. doi: 10.3934/mbe.2017067

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An SEI infection model incorporating media impact

Xuejuan Lu, Shaokai Wang, Shengqiang Liu, Jia Li

2017, Volume 14, Issue 5&6: 1317-1335. doi: 10.3934/mbe.2017068

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Global stability in a tuberculosis model of imperfect treatment with age-dependent latency and relapse

Shanjing Ren

2017, Volume 14, Issue 5&6: 1337-1360. doi: 10.3934/mbe.2017069

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A bacteriophage model based on CRISPR/Cas immune system in a chemostat

Mengshi Shu, Rui Fu, Wendi Wang

2017, Volume 14, Issue 5&6: 1361-1377. doi: 10.3934/mbe.2017070

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A mathematical model of stem cell regeneration with epigenetic state transitions

Qiaojun Situ, Jinzhi Lei

2017, Volume 14, Issue 5&6: 1379-1397. doi: 10.3934/mbe.2017071

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On the continuity of the function describing the times of meeting impulsive set and its application

Sanyi Tang, Wenhong Pang

2017, Volume 14, Issue 5&6: 1399-1406. doi: 10.3934/mbe.2017072

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Dynamics of epidemic models with asymptomatic infection and seasonal succession

Yilei Tang, Dongmei Xiao, Weinian Zhang, Di Zhu

2017, Volume 14, Issue 5&6: 1407-1424. doi: 10.3934/mbe.2017073

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Dynamical behaviors of an Echinococcosis epidemic model with distributed delays

Kai Wang, Zhidong Teng, Xueliang Zhang

2017, Volume 14, Issue 5&6: 1425-1445. doi: 10.3934/mbe.2017074

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Modeling transcriptional co-regulation of mammalian circadian clock

Yanqin Wang, Xin Ni, Jie Yan, Ling Yang

2017, Volume 14, Issue 5&6: 1447-1462. doi: 10.3934/mbe.2017075

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Transition of interaction outcomes in a facilitation-competition system of two species

Yuanshi Wang, Hong Wu

2017, Volume 14, Issue 5&6: 1463-1475. doi: 10.3934/mbe.2017076

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Asymptotic behavior of a delayed stochastic logistic model with impulsive perturbations

Sanling Yuan, Xuehui Ji, Huaiping Zhu

2017, Volume 14, Issue 5&6: 1477-1498. doi: 10.3934/mbe.2017077

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Bogdanov-Takens bifurcations in the enzyme-catalyzed reaction comprising a branched network

Qiuyan Zhang, Lingling Liu, Weinian Zhang

2017, Volume 14, Issue 5&6: 1499-1514. doi: 10.3934/mbe.2017078

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Onset and termination of oscillation of disease spread through contaminated environment

Xue Zhang, Shuni Song, Jianhong Wu

2017, Volume 14, Issue 5&6: 1515-1533. doi: 10.3934/mbe.2017079

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Threshold dynamics of a time periodic and two–group epidemic model with distributed delay

Lin Zhao, Zhi-Cheng Wang, Liang Zhang

2017, Volume 14, Issue 5&6: 1535-1563. doi: 10.3934/mbe.2017080

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The risk index for an SIR epidemic model and spatial spreading of the infectious disease

Min Zhu, Xiaofei Guo, Zhigui Lin

2017, Volume 14, Issue 5&6: 1565-1583. doi: 10.3934/mbe.2017081

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Modeling and analyzing the transmission dynamics of visceral leishmaniasis

Lan Zou, Jing Chen, Shigui Ruan

2017, Volume 14, Issue 5&6: 1585-1604. doi: 10.3934/mbe.2017082

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Preface

Daozhou Gao, Shigui Ruan, Jifa Jiang

2017, Volume 14, Issue 5&6: i-ii. doi: 10.3934/mbe.201705i

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2017 Volume 14, Issue 5&6