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

Yao Chen | Zendy; Mei Yan | Zendy; Zhongyi Xiang | Zendy

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

Author(s) -

Yao Chen,

Mei Yan,

Zhongyi Xiang

Publication year - 2014

Publication title -

journal of applied mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.307

H-Index - 43

eISSN - 1687-0042

pISSN - 1110-757X

DOI - 10.1155/2014/764278

Subject(s) - algorithm , stability (learning theory) , computer science , machine learning

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

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