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, issue 1

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 ℜ0γ ≤ 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 ℜ0γ > 1. 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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https://doi.org/10.1155/2014/764278

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnljam:v:2014:y:2014:i:1:n:764278

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