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

doi:10.1016/S0252-9602(13)60003-X

数学物理学报(英文版) ›› 2013, Vol. 33 ›› Issue (2): 341-361.doi: 10.1016/S0252-9602(13)60003-X

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

|Yoshiaki MUROYA, Yoichi ENATSU, Toshikazu KUNIYA

Department of Mathematics, Waseda University, 3-4-1, Ohkubo, Shinjuku-ku, Tokyo 169-8555, Japan； Graduate School of Fundamental Sciences and Engineering, Waseda University, 3-4-1, Ohkubo, Shinjuku-ku, Tokyo 169-8555, Japan|Graduate School of Mathematical Sciences, University of Tokyo, 3-8-1, Komaba, Meguro-ku, Tokyo 153-8914, Japan

收稿日期:2010-08-26 修回日期:2012-05-27 出版日期:2013-03-20 发布日期:2013-03-20
基金资助:
The authors’ work was 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).

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

|Yoshiaki MUROYA, Yoichi ENATSU, Toshikazu KUNIYA

Department of Mathematics, Waseda University, 3-4-1, Ohkubo, Shinjuku-ku, Tokyo 169-8555, Japan； Graduate School of Fundamental Sciences and Engineering, Waseda University, 3-4-1, Ohkubo, Shinjuku-ku, Tokyo 169-8555, Japan|Graduate School of Mathematical Sciences, University of Tokyo, 3-8-1, Komaba, Meguro-ku, Tokyo 153-8914, Japan

Received:2010-08-26 Revised:2012-05-27 Online:2013-03-20 Published:2013-03-20
Supported by:
The authors’ work was 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/Abstract

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].

关键词: multi-group SIR epidemic model, patch, global asymptotic stability, Lyapunov function

Abstract:

Key words: multi-group SIR epidemic model, patch, global asymptotic stability, Lyapunov function

中图分类号:

34K20

Yoshiaki MUROYA, Yoichi ENATSU, Toshikazu KUNIYA. GLOBAL STABILITY OF EXTENDED MULTI-GROUP SIR EPIDEMIC MODELS WITH PATCHES THROUGH MIGRATION AND CROSS PATCH INFECTION[J]. 数学物理学报(英文版), 2013, 33(2): 341-361.

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

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

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