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.

引用

页数：12

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