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Mathematical analysis of an agestructured SIR epidemic model with vertical transmission
1.  Department of Mathematical Sciences, University of Tokyo, 381 Komaba Meguroku, Tokyo 1538914, Japan 
[1] 
Shujing Gao, Dehui Xie, Lansun Chen. Pulse vaccination strategy in a delayed sir epidemic model with vertical transmission. Discrete and Continuous Dynamical Systems  B, 2007, 7 (1) : 7786. doi: 10.3934/dcdsb.2007.7.77 
[2] 
Tianhui Yang, Ammar Qarariyah, Qigui Yang. The effect of spatial variables on the basic reproduction ratio for a reactiondiffusion epidemic model. Discrete and Continuous Dynamical Systems  B, 2022, 27 (6) : 30053017. doi: 10.3934/dcdsb.2021170 
[3] 
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 
[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] 
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 
[6] 
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 
[7] 
Hui Cao, Yicang Zhou. The basic reproduction number of discrete SIR and SEIS models with periodic parameters. Discrete and Continuous Dynamical Systems  B, 2013, 18 (1) : 3756. doi: 10.3934/dcdsb.2013.18.37 
[8] 
Toshikazu Kuniya, Yoshiaki Muroya, Yoichi Enatsu. Threshold dynamics of an SIR epidemic model with hybrid of multigroup and patch structures. Mathematical Biosciences & Engineering, 2014, 11 (6) : 13751393. doi: 10.3934/mbe.2014.11.1375 
[9] 
Yutaro Chiyo, Yuya Tanaka, Ayako Uchida, Tomomi Yokota. Global asymptotic stability of endemic equilibria for a diffusive SIR epidemic model with saturated incidence and logistic growth. Discrete and Continuous Dynamical Systems  B, 2022 doi: 10.3934/dcdsb.2022163 
[10] 
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 
[11] 
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 
[12] 
Gabriela Marinoschi. Identification of transmission rates and reproduction number in a SARSCoV2 epidemic model. Discrete and Continuous Dynamical Systems  S, 2022 doi: 10.3934/dcdss.2022128 
[13] 
Liang Zhang, ZhiCheng Wang. Threshold dynamics of a reactiondiffusion epidemic model with stage structure. Discrete and Continuous Dynamical Systems  B, 2017, 22 (10) : 37973820. doi: 10.3934/dcdsb.2017191 
[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] 
Tongtong Chen, Jixun Chu. Hopf bifurcation for a predatorprey model with age structure and ratiodependent response function incorporating a prey refuge. Discrete and Continuous Dynamical Systems  B, 2023, 28 (1) : 408425. doi: 10.3934/dcdsb.2022082 
[16] 
Jing Feng, BinGuo Wang. An almost periodic Dengue transmission model with age structure and timedelayed input of vector in a patchy environment. Discrete and Continuous Dynamical Systems  B, 2021, 26 (6) : 30693096. doi: 10.3934/dcdsb.2020220 
[17] 
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 
[18] 
Arnaud Ducrot, Michel Langlais, Pierre Magal. Qualitative analysis and travelling wave solutions for the SI model with vertical transmission. Communications on Pure and Applied Analysis, 2012, 11 (1) : 97113. doi: 10.3934/cpaa.2012.11.97 
[19] 
Liming Cai, Maia Martcheva, XueZhi Li. Epidemic models with age of infection, indirect transmission and incomplete treatment. Discrete and Continuous Dynamical Systems  B, 2013, 18 (9) : 22392265. doi: 10.3934/dcdsb.2013.18.2239 
[20] 
Qianqian Cui, Zhipeng Qiu, Ling Ding. An SIR epidemic model with vaccination in a patchy environment. Mathematical Biosciences & Engineering, 2017, 14 (5&6) : 11411157. doi: 10.3934/mbe.2017059 
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