
Previous Article
A global attractivity result for maps with invariant boxes
 DCDSB Home
 This Issue

Next Article
Stabilized finite element method for the nonstationary NavierStokes problem
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 & 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 & Continuous Dynamical Systems  B, 2021 doi: 10.3934/dcdsb.2021170 
[3] 
Toshikazu Kuniya, Jinliang Wang, Hisashi Inaba. A multigroup SIR epidemic model with age structure. Discrete & 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 & Continuous Dynamical Systems  S, 2021, 14 (7) : 25352555. doi: 10.3934/dcdss.2021054 
[7] 
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 
[8] 
Hui Cao, Yicang Zhou. The basic reproduction number of discrete SIR and SEIS models with periodic parameters. Discrete & Continuous Dynamical Systems  B, 2013, 18 (1) : 3756. doi: 10.3934/dcdsb.2013.18.37 
[9] 
Dimitri Breda, Stefano Maset, Rossana Vermiglio. Numerical recipes for investigating endemic equilibria of agestructured SIR epidemics. Discrete & Continuous Dynamical Systems, 2012, 32 (8) : 26752699. doi: 10.3934/dcds.2012.32.2675 
[10] 
Liang Zhang, ZhiCheng Wang. Threshold dynamics of a reactiondiffusion epidemic model with stage structure. Discrete & Continuous Dynamical Systems  B, 2017, 22 (10) : 37973820. doi: 10.3934/dcdsb.2017191 
[11] 
BinGuo Wang, WanTong Li, Liang Zhang. An almost periodic epidemic model with age structure in a patchy environment. Discrete & Continuous Dynamical Systems  B, 2016, 21 (1) : 291311. doi: 10.3934/dcdsb.2016.21.291 
[12] 
Jing Feng, BinGuo Wang. An almost periodic Dengue transmission model with age structure and timedelayed input of vector in a patchy environment. Discrete & Continuous Dynamical Systems  B, 2021, 26 (6) : 30693096. doi: 10.3934/dcdsb.2020220 
[13] 
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 & Continuous Dynamical Systems  S, 2021 doi: 10.3934/dcdss.2021120 
[14] 
Arnaud Ducrot, Michel Langlais, Pierre Magal. Qualitative analysis and travelling wave solutions for the SI model with vertical transmission. Communications on Pure & Applied Analysis, 2012, 11 (1) : 97113. doi: 10.3934/cpaa.2012.11.97 
[15] 
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 
[16] 
Zhen Jin, Zhien Ma. The stability of an SIR epidemic model with time delays. Mathematical Biosciences & Engineering, 2006, 3 (1) : 101109. doi: 10.3934/mbe.2006.3.101 
[17] 
Yan Li, WanTong Li, Guo Lin. Traveling waves of a delayed diffusive SIR epidemic model. Communications on Pure & Applied Analysis, 2015, 14 (3) : 10011022. doi: 10.3934/cpaa.2015.14.1001 
[18] 
Liming Cai, Maia Martcheva, XueZhi Li. Epidemic models with age of infection, indirect transmission and incomplete treatment. Discrete & Continuous Dynamical Systems  B, 2013, 18 (9) : 22392265. doi: 10.3934/dcdsb.2013.18.2239 
[19] 
WanTong Li, Guo Lin, Cong Ma, FeiYing Yang. Traveling wave solutions of a nonlocal delayed SIR model without outbreak threshold. Discrete & Continuous Dynamical Systems  B, 2014, 19 (2) : 467484. doi: 10.3934/dcdsb.2014.19.467 
[20] 
Zhenguo Bai. Threshold dynamics of a periodic SIR model with delay in an infected compartment. Mathematical Biosciences & Engineering, 2015, 12 (3) : 555564. doi: 10.3934/mbe.2015.12.555 
2020 Impact Factor: 1.327
Tools
Metrics
Other articles
by authors
[Back to Top]