
Previous Article
Critical exponents and traveling wavefronts of a degeneratesingular parabolic equation in nondivergence form
 DCDSB Home
 This Issue

Next Article
Limit behavior of nonlinear stochastic wave equations with singular perturbation
Influence of latent period and nonlinear incidence rate on the dynamics of SIRS epidemiological models
1.  Department of Mathematics, Shanghai Jiao Tong University, Shanghai 200240, China 
[1] 
Zhixing Hu, Ping Bi, Wanbiao Ma, Shigui Ruan. Bifurcations of an SIRS epidemic model with nonlinear incidence rate. Discrete & Continuous Dynamical Systems  B, 2011, 15 (1) : 93112. doi: 10.3934/dcdsb.2011.15.93 
[2] 
Yoshiaki Muroya, Toshikazu Kuniya, Yoichi Enatsu. Global stability of a delayed multigroup SIRS epidemic model with nonlinear incidence rates and relapse of infection. Discrete & Continuous Dynamical Systems  B, 2015, 20 (9) : 30573091. doi: 10.3934/dcdsb.2015.20.3057 
[3] 
Hui Miao, Zhidong Teng, Chengjun Kang. Stability and Hopf bifurcation of an HIV infection model with saturation incidence and two delays. Discrete & Continuous Dynamical Systems  B, 2017, 22 (6) : 23652387. doi: 10.3934/dcdsb.2017121 
[4] 
Shouying Huang, Jifa Jiang. Global stability of a networkbased SIS epidemic model with a general nonlinear incidence rate. Mathematical Biosciences & Engineering, 2016, 13 (4) : 723739. doi: 10.3934/mbe.2016016 
[5] 
Yu Ji, Lan Liu. Global stability of a delayed viral infection model with nonlinear immune response and general incidence rate. Discrete & Continuous Dynamical Systems  B, 2016, 21 (1) : 133149. doi: 10.3934/dcdsb.2016.21.133 
[6] 
Yu Yang, Yueping Dong, Yasuhiro Takeuchi. Global dynamics of a latent HIV infection model with general incidence function and multiple delays. Discrete & Continuous Dynamical Systems  B, 2019, 24 (2) : 783800. doi: 10.3934/dcdsb.2018207 
[7] 
Attila Dénes, Gergely Röst. Global stability for SIR and SIRS models with nonlinear incidence and removal terms via Dulac functions. Discrete & Continuous Dynamical Systems  B, 2016, 21 (4) : 11011117. doi: 10.3934/dcdsb.2016.21.1101 
[8] 
Hong Yang, Junjie Wei. Global behaviour of a delayed viral kinetic model with general incidence rate. Discrete & Continuous Dynamical Systems  B, 2015, 20 (5) : 15731582. doi: 10.3934/dcdsb.2015.20.1573 
[9] 
Fabien Crauste. Global Asymptotic Stability and Hopf Bifurcation for a Blood Cell Production Model. Mathematical Biosciences & Engineering, 2006, 3 (2) : 325346. doi: 10.3934/mbe.2006.3.325 
[10] 
Pengmiao Hao, Xuechen Wang, Junjie Wei. Global Hopf bifurcation of a population model with stage structure and strong Allee effect. Discrete & Continuous Dynamical Systems  S, 2017, 10 (5) : 973993. doi: 10.3934/dcdss.2017051 
[11] 
Yanan Zhao, Yuguo Lin, Daqing Jiang, Xuerong Mao, Yong Li. Stationary distribution of stochastic SIRS epidemic model with standard incidence. Discrete & Continuous Dynamical Systems  B, 2016, 21 (7) : 23632378. doi: 10.3934/dcdsb.2016051 
[12] 
C. Connell McCluskey. Global stability of an $SIR$ epidemic model with delay and general nonlinear incidence. Mathematical Biosciences & Engineering, 2010, 7 (4) : 837850. doi: 10.3934/mbe.2010.7.837 
[13] 
Yu Ji. Global stability of a multiple delayed viral infection model with general incidence rate and an application to HIV infection. Mathematical Biosciences & Engineering, 2015, 12 (3) : 525536. doi: 10.3934/mbe.2015.12.525 
[14] 
Ting Guo, Haihong Liu, Chenglin Xu, Fang Yan. Global stability of a diffusive and delayed HBV infection model with HBV DNAcontaining capsids and general incidence rate. Discrete & Continuous Dynamical Systems  B, 2018, 23 (10) : 42234242. doi: 10.3934/dcdsb.2018134 
[15] 
Jinling Zhou, Yu Yang. Traveling waves for a nonlocal dispersal SIR model with general nonlinear incidence rate and spatiotemporal delay. Discrete & Continuous Dynamical Systems  B, 2017, 22 (4) : 17191741. doi: 10.3934/dcdsb.2017082 
[16] 
Yukihiko Nakata, Yoichi Enatsu, Yoshiaki Muroya. On the global stability of an SIRS epidemic model with distributed delays. Conference Publications, 2011, 2011 (Special) : 11191128. doi: 10.3934/proc.2011.2011.1119 
[17] 
Yuming Chen, Junyuan Yang, Fengqin Zhang. The global stability of an SIRS model with infection age. Mathematical Biosciences & Engineering, 2014, 11 (3) : 449469. doi: 10.3934/mbe.2014.11.449 
[18] 
Yoichi Enatsu, Yukihiko Nakata. Stability and bifurcation analysis of epidemic models with saturated incidence rates: An application to a nonmonotone incidence rate. Mathematical Biosciences & Engineering, 2014, 11 (4) : 785805. doi: 10.3934/mbe.2014.11.785 
[19] 
Qun Liu, Daqing Jiang, Tasawar Hayat, Ahmed Alsaedi. Dynamical behavior of a multigroup SIRS epidemic model with standard incidence rates and Markovian switching. Discrete & Continuous Dynamical Systems  A, 2019, 39 (10) : 56835706. doi: 10.3934/dcds.2019249 
[20] 
Yasuhito Miyamoto. Global bifurcation and stable twophase separation for a phase field model in a disk. Discrete & Continuous Dynamical Systems  A, 2011, 30 (3) : 791806. doi: 10.3934/dcds.2011.30.791 
2018 Impact Factor: 1.008
Tools
Metrics
Other articles
by authors
[Back to Top]