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

被引：36
作者：
Muroya, Yoshiaki [1 ]
Enatsu, Yoichi [2 ]
Kuniya, Toshikazu [3 ]
机构：
[1] Waseda Univ, Dept Math, Shinjuku Ku, Tokyo 1698555, Japan
[2] Waseda Univ, Grad Sch Fundamental Sci & Engn, Shinjuku Ku, Tokyo 1698555, Japan
[3] Univ Tokyo, Grad Sch Math Sci, Meguro Ku, Tokyo 1538914, Japan
来源：
ACTA MATHEMATICA SCIENTIA | 2013年 / 33卷 / 02期
基金：
日本学术振兴会;
关键词：
multi-group SIR epidemic model; patch; global asymptotic stability; Lyapunov function; TRANSPORT-RELATED INFECTION; STAGED-PROGRESSION MODEL; NONLINEAR INCIDENCE; DYNAMICS; AMELIORATION; TRANSMISSION; DISEASE;
D O I：
10.1016/S0252-9602(13)60003-X
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
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].
引用
收藏
页码：341 / 361
页数：21
相关论文
共 31 条
[1]  
[Anonymous], 1979, NONNEGATIVE MATRICES
[2]  
[Anonymous], 1962, Matrix Iterative Analysis
[3]  
Arino J., 2009, Ser. Contemp. Appl. Math. CAM, P64, DOI DOI 10.1142/9789814261265_0003
[4]  
BARTLETT M. S., 1956, P 3 BERK S MATH STAT, VIV, P81
[5]  
Bhatia N. P, 1967, Lecture Notes in Mathematics, V1, P113
[6]   Global stability of delay multigroup epidemic models with group mixing and nonlinear incidence rates [J].
Chen, Hao ;
Sun, Jitao .
APPLIED MATHEMATICS AND COMPUTATION, 2011, 218 (08) :4391-4400
[7]  
Diekmann O., 2000, Mathematical epidemiology of infectious diseases: model building, analysis and interpretation
[8]  
Freedman HI., 1994, J DYN DIFFER EQU, V6, P583, DOI [10.1007/BF02218848, DOI 10.1007/BF02218848]
[9]  
Guo H., 2006, Can. Appl. Math. Q., V14, P259
[10]   A graph-theoretic approach to the method of global Lyapunov functions [J].
Guo, Hongbin ;
Li, Michael Y. ;
Shuai, Zhisheng .
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2008, 136 (08) :2793-2802
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