Transmission Dynamics of a Two-City SIR Epidemic Model with Transport-Related Infections

被引：5
作者：
Chen, Yao [1 ,2 ,3 ]
Yan, Mei [2 ]
Xiang, Zhongyi [1 ,2 ]
机构：
[1] Key Lab Biol Resources Protect & Utilizat Hubei P, Enshi 445000, Hubei, Peoples R China
[2] Hubei Univ Nationalities, Dept Math, Enshi 445000, Hubei, Peoples R China
[3] Hubei Univ Nationalities, Coll Sci & Technol, Enshi 445000, Hubei, Peoples R China
来源：
JOURNAL OF APPLIED MATHEMATICS | 2014年
关键词：
PATCHY ENVIRONMENT; DISEASE;
D O I：
10.1155/2014/764278
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A two-city SIR epidemic model with transport-related infections is proposed. Some good analytical results are given for this model. If the basic reproduction number R-0 gamma <= 1, there exists a disease-free equilibrium which is globally asymptotically stable. There exists an endemic equilibrium which is locally asymptotically stable if the basic reproduction number R-0 gamma > 1. We also show the permanence of this SIR model. In addition, sufficient conditions are established for global asymptotic stability of the endemic equilibrium.
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页数：12
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