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

Yao Chen, Mei Yan and Zhongyi Xiang

Journal of Applied Mathematics, 2014, vol. 2014, 1-12

Abstract:

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 , 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 . We also show the permanence of this SIR model. In addition, sufficient conditions are established for global asymptotic stability of the endemic equilibrium.

Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnljam:764278

DOI: 10.1155/2014/764278

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