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2014 Transmission Dynamics of a Two-City SIR Epidemic Model with Transport-Related Infections
Yao Chen, Mei Yan, Zhongyi Xiang
J. Appl. Math. 2014: 1-12 (2014). DOI: 10.1155/2014/764278

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 0γ1, 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 0γ>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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Yao Chen. Mei Yan. Zhongyi Xiang. "Transmission Dynamics of a Two-City SIR Epidemic Model with Transport-Related Infections." J. Appl. Math. 2014 1 - 12, 2014. https://doi.org/10.1155/2014/764278

Information

Published: 2014
First available in Project Euclid: 26 March 2014

zbMATH: 07010747
MathSciNet: MR3166788
Digital Object Identifier: 10.1155/2014/764278

Rights: Copyright © 2014 Hindawi

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