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Stability analysis for SIS epidemic models with vaccination and constant population size
Global stability of an agestructured SIRS epidemic model with vaccination
1.  Department of Mathematics, Xinjiang University, Urumqi 830046, China 
2.  Department of Mathematics, Xinyang Teachers College, Henan 464000, China 
[1] 
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 
[2] 
Hao Kang, Qimin Huang, Shigui Ruan. Periodic solutions of an agestructured epidemic model with periodic infection rate. Communications on Pure and Applied Analysis, 2020, 19 (10) : 49554972. doi: 10.3934/cpaa.2020220 
[3] 
Jianxin Yang, Zhipeng Qiu, XueZhi Li. Global stability of an agestructured cholera model. Mathematical Biosciences & Engineering, 2014, 11 (3) : 641665. doi: 10.3934/mbe.2014.11.641 
[4] 
Andrea Franceschetti, Andrea Pugliese, Dimitri Breda. Multiple endemic states in agestructured $SIR$ epidemic models. Mathematical Biosciences & Engineering, 2012, 9 (3) : 577599. doi: 10.3934/mbe.2012.9.577 
[5] 
Yu Yang, Shigui Ruan, Dongmei Xiao. Global stability of an agestructured virus dynamics model with BeddingtonDeAngelis infection function. Mathematical Biosciences & Engineering, 2015, 12 (4) : 859877. doi: 10.3934/mbe.2015.12.859 
[6] 
Dandan Sun, Yingke Li, Zhidong Teng, Tailei Zhang. Stability and Hopf bifurcation in an agestructured SIR epidemic model with relapse. Discrete and Continuous Dynamical Systems  B, 2022 doi: 10.3934/dcdsb.2022141 
[7] 
Hassan Tahir, Asaf Khan, Anwarud Din, Amir Khan, Gul Zaman. Optimal control strategy for an agestructured SIR endemic model. Discrete and Continuous Dynamical Systems  S, 2021, 14 (7) : 25352555. doi: 10.3934/dcdss.2021054 
[8] 
XueZhi Li, JiXuan Liu, Maia Martcheva. An agestructured twostrain epidemic model with superinfection. Mathematical Biosciences & Engineering, 2010, 7 (1) : 123147. doi: 10.3934/mbe.2010.7.123 
[9] 
Mohammed Nor Frioui, Tarik Mohammed Touaoula, Bedreddine Ainseba. Global dynamics of an agestructured model with relapse. Discrete and Continuous Dynamical Systems  B, 2020, 25 (6) : 22452270. doi: 10.3934/dcdsb.2019226 
[10] 
Jinliang Wang, Jiying Lang, Yuming Chen. Global dynamics of an agestructured HIV infection model incorporating latency and celltocell transmission. Discrete and Continuous Dynamical Systems  B, 2017, 22 (10) : 37213747. doi: 10.3934/dcdsb.2017186 
[11] 
Toshikazu Kuniya, Mimmo Iannelli. $R_0$ and the global behavior of an agestructured SIS epidemic model with periodicity and vertical transmission. Mathematical Biosciences & Engineering, 2014, 11 (4) : 929945. doi: 10.3934/mbe.2014.11.929 
[12] 
Georgi Kapitanov. A double agestructured model of the coinfection of tuberculosis and HIV. Mathematical Biosciences & Engineering, 2015, 12 (1) : 2340. doi: 10.3934/mbe.2015.12.23 
[13] 
Hossein Mohebbi, Azim Aminataei, Cameron J. Browne, Mohammad Reza Razvan. Hopf bifurcation of an agestructured virus infection model. Discrete and Continuous Dynamical Systems  B, 2018, 23 (2) : 861885. doi: 10.3934/dcdsb.2018046 
[14] 
Yoshiaki Muroya, Toshikazu Kuniya, Yoichi Enatsu. Global stability of a delayed multigroup SIRS epidemic model with nonlinear incidence rates and relapse of infection. Discrete and Continuous Dynamical Systems  B, 2015, 20 (9) : 30573091. doi: 10.3934/dcdsb.2015.20.3057 
[15] 
Hisashi Inaba. Mathematical analysis of an agestructured SIR epidemic model with vertical transmission. Discrete and Continuous Dynamical Systems  B, 2006, 6 (1) : 6996. doi: 10.3934/dcdsb.2006.6.69 
[16] 
Xueying Sun, Renhao Cui. Existence and asymptotic profiles of the steady state for a diffusive epidemic model with saturated incidence and spontaneous infection mechanism. Discrete and Continuous Dynamical Systems  S, 2021, 14 (12) : 45034520. doi: 10.3934/dcdss.2021120 
[17] 
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 
[18] 
Dimitri Breda, Stefano Maset, Rossana Vermiglio. Numerical recipes for investigating endemic equilibria of agestructured SIR epidemics. Discrete and Continuous Dynamical Systems, 2012, 32 (8) : 26752699. doi: 10.3934/dcds.2012.32.2675 
[19] 
Yicang Zhou, Zhien Ma. Global stability of a class of discrete agestructured SIS models with immigration. Mathematical Biosciences & Engineering, 2009, 6 (2) : 409425. doi: 10.3934/mbe.2009.6.409 
[20] 
Shengqin Xu, Chuncheng Wang, Dejun Fan. Stability and bifurcation in an agestructured model with stocking rate and time delays. Discrete and Continuous Dynamical Systems  B, 2019, 24 (6) : 25352549. doi: 10.3934/dcdsb.2018264 
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