
Previous Article
Stabilized finite element method for the nonstationary NavierStokes problem
 DCDSB Home
 This Issue

Next Article
A global attractivity result for maps with invariant boxes
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] 
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 
[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] 
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 
[5] 
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 
[6] 
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 
[7] 
Dimitri Breda, Stefano Maset, Rossana Vermiglio. Numerical recipes for investigating endemic equilibria of agestructured SIR epidemics. Discrete & Continuous Dynamical Systems  A, 2012, 32 (8) : 26752699. doi: 10.3934/dcds.2012.32.2675 
[8] 
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 
[9] 
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 
[10] 
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 
[11] 
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 
[12] 
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 
[13] 
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 
[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] 
John Cleveland. Basic stage structure measure valued evolutionary game model. Mathematical Biosciences & Engineering, 2015, 12 (2) : 291310. doi: 10.3934/mbe.2015.12.291 
[16] 
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 
[17] 
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 
[18] 
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 
[19] 
Nguyen Huu Du, Nguyen Thanh Dieu. Longtime behavior of an SIR model with perturbed disease transmission coefficient. Discrete & Continuous Dynamical Systems  B, 2016, 21 (10) : 34293440. doi: 10.3934/dcdsb.2016105 
[20] 
Jinliang Wang, Xianning Liu, Toshikazu Kuniya, Jingmei Pang. Global stability for multigroup SIR and SEIR epidemic models with agedependent susceptibility. Discrete & Continuous Dynamical Systems  B, 2017, 22 (7) : 27952812. doi: 10.3934/dcdsb.2017151 
2017 Impact Factor: 0.972
Tools
Metrics
Other articles
by authors
[Back to Top]