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On the eradicability of infections with partially protective vaccination in models with backward bifurcation
Global stability of a class of discrete agestructured SIS models with immigration
1.  Department of Mathematics, Xi’an Jiaotong University, Xi’an, 710049 
[1] 
C. Connell McCluskey. Global stability for an SEI epidemiological model with continuous agestructure in the exposed and infectious classes. Mathematical Biosciences & Engineering, 2012, 9 (4) : 819841. doi: 10.3934/mbe.2012.9.819 
[2] 
C. Connell McCluskey. Global stability for an $SEI$ model of infectious disease with age structure and immigration of infecteds. Mathematical Biosciences & Engineering, 2016, 13 (2) : 381400. doi: 10.3934/mbe.2015008 
[3] 
Cruz VargasDeLeón, Alberto d'Onofrio. Global stability of infectious disease models with contact rate as a function of prevalence index. Mathematical Biosciences & Engineering, 2017, 14 (4) : 10191033. doi: 10.3934/mbe.2017053 
[4] 
W. E. Fitzgibbon, J. J. Morgan. Analysis of a reaction diffusion model for a reservoir supported spread of infectious disease. Discrete and Continuous Dynamical Systems  B, 2019, 24 (11) : 62396259. doi: 10.3934/dcdsb.2019137 
[5] 
Min Zhu, Xiaofei Guo, Zhigui Lin. The risk index for an SIR epidemic model and spatial spreading of the infectious disease. Mathematical Biosciences & Engineering, 2017, 14 (5&6) : 15651583. doi: 10.3934/mbe.2017081 
[6] 
Fred Brauer. A model for an SI disease in an age  structured population. Discrete and Continuous Dynamical Systems  B, 2002, 2 (2) : 257264. doi: 10.3934/dcdsb.2002.2.257 
[7] 
Jacek Banasiak, Eddy Kimba Phongi, MirosŁaw Lachowicz. A singularly perturbed SIS model with age structure. Mathematical Biosciences & Engineering, 2013, 10 (3) : 499521. doi: 10.3934/mbe.2013.10.499 
[8] 
Roberto A. Saenz, Herbert W. Hethcote. Competing species models with an infectious disease. Mathematical Biosciences & Engineering, 2006, 3 (1) : 219235. doi: 10.3934/mbe.2006.3.219 
[9] 
Sophia R.J. Jang. Discrete hostparasitoid models with Allee effects and age structure in the host. Mathematical Biosciences & Engineering, 2010, 7 (1) : 6781. doi: 10.3934/mbe.2010.7.67 
[10] 
Ovide Arino, Manuel Delgado, Mónica MolinaBecerra. Asymptotic behavior of diseasefree equilibriums of an agestructured predatorprey model with disease in the prey. Discrete and Continuous Dynamical Systems  B, 2004, 4 (3) : 501515. doi: 10.3934/dcdsb.2004.4.501 
[11] 
Gang Huang, Edoardo Beretta, Yasuhiro Takeuchi. Global stability for epidemic model with constant latency and infectious periods. Mathematical Biosciences & Engineering, 2012, 9 (2) : 297312. doi: 10.3934/mbe.2012.9.297 
[12] 
Suxia Zhang, Xiaxia Xu. A mathematical model for hepatitis B with infectionage structure. Discrete and Continuous Dynamical Systems  B, 2016, 21 (4) : 13291346. doi: 10.3934/dcdsb.2016.21.1329 
[13] 
Toshikazu Kuniya, Jinliang Wang, Hisashi Inaba. A multigroup SIR epidemic model with age structure. Discrete and Continuous Dynamical Systems  B, 2016, 21 (10) : 35153550. doi: 10.3934/dcdsb.2016109 
[14] 
BinGuo Wang, WanTong Li, Liang Zhang. An almost periodic epidemic model with age structure in a patchy environment. Discrete and Continuous Dynamical Systems  B, 2016, 21 (1) : 291311. doi: 10.3934/dcdsb.2016.21.291 
[15] 
Yueding Yuan, Zhiming Guo, Moxun Tang. A nonlocal diffusion population model with age structure and Dirichlet boundary condition. Communications on Pure and Applied Analysis, 2015, 14 (5) : 20952115. doi: 10.3934/cpaa.2015.14.2095 
[16] 
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 
[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] 
Xia Wang, Yuming Chen. An agestructured vectorborne disease model with horizontal transmission in the host. Mathematical Biosciences & Engineering, 2018, 15 (5) : 10991116. doi: 10.3934/mbe.2018049 
[19] 
Shangbing Ai. Global stability of equilibria in a tickborne disease model. Mathematical Biosciences & Engineering, 2007, 4 (4) : 567572. doi: 10.3934/mbe.2007.4.567 
[20] 
Yoshiaki Muroya, Yoichi Enatsu, Huaixing Li. A note on the global stability of an SEIR epidemic model with constant latency time and infectious period. Discrete and Continuous Dynamical Systems  B, 2013, 18 (1) : 173183. doi: 10.3934/dcdsb.2013.18.173 
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