GLOBAL STABILITY OF EXTENDED MULTI-GROUP SIR EPIDEMIC MODELS WITH PATCHES THROUGH MIGRATION AND CROSS PATCH INFECTION  

作　　者：Yoshiaki MUROYA Yoichi ENATSU Toshikazu KUNIYA 

机构地区：[1]Department of Mathematics,Waseda University,3-4-1,Ohkubo,Shinjuku-ku,Tokyo 169-8555,Japan [2]Graduate School of Fundamental Sciences and Engineering,Waseda University,3-4-1,Ohkubo,Shinjuku-ku,Tokyo 169-8555,Japan [3]Graduate School of Mathematical Sciences,University of Tokyo,3-8-1,Komaba,Meguro-ku,Tokyo 153-8914,Japan

出　　处：《Acta Mathematica Scientia》2013年第2期341-361,共21页数学物理学报（B辑英文版）

基　　金：supported by Japan Society for the Promotion of Science (Grant Scientific Research (c), No. 24540219 to the first author, JSPS Fellows, No.237213 to the second author, and No. 222176 to the third author)

摘　　要：In this article, we establish the global stability of an endemic equilibrium of multi-group SIR epidemic models, which have not only an exchange of individuals between patches through migration but also cross patch infection between different groups. As a result, we partially generalize the recent result in the article [16].In this article, we establish the global stability of an endemic equilibrium of multi-group SIR epidemic models, which have not only an exchange of individuals between patches through migration but also cross patch infection between different groups. As a result, we partially generalize the recent result in the article [16].

关 键 词：multi-group SIR epidemic model PATCH global asymptotic stability Lyapunovfunction 

分 类 号：O175[理学—数学]