Global stability of multi-group SEIRS epidemic models with vaccination  

作　　者：Dejun Fan Pengmiao Hao Dongyan Sun Junjie Wei 

机构地区：[1]Department of MathematicsHarbin Institute of Technology (Weihai) Weihai Shandong 264209, P. R. China

出　　处：《International Journal of Biomathematics》2018年第1期143-174,共32页生物数学学报（英文版）

基　　金：This research is supported by National Natural Science Foundation of China （No. 11371111）, Weihai Science and Technology Development Plan Project （No. 2013DXGJ06） and Shandong Provincial Natural Science Foundation of China （No. ZR2015AM018）.

摘　　要：In this paper, a susceptible-exposed infective-recovered-susceptible （SEIRS） epidemic model with vaccination has been formulated. We studied the global stability of the corresponding single-group model, multi-group model with strongly connected network and multi-group model without strongly connected network by means of analyzing their basic reproduction numbers and the application of Lyapunov functionals. Finally, we provide some numerical simulations to illustrate our analysis results.

关 键 词：Epidemic model coupled systems global stability Lyapunov functional AGE-STRUCTURE connectivity. 

分 类 号：O175.13[理学—数学] S435.651[理学—基础数学]