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

Author

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  • Yao Chen
  • Mei Yan
  • Zhongyi Xiang

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.

Suggested Citation

  • Yao Chen & Mei Yan & Zhongyi Xiang, 2014. "Transmission Dynamics of a Two-City SIR Epidemic Model with Transport-Related Infections," Journal of Applied Mathematics, Hindawi, vol. 2014, pages 1-12, January.
    • Handle: RePEc:hin:jnljam:764278
    DOI: 10.1155/2014/764278
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    Cited by:

    1. Jana, Soovoojeet & Haldar, Palash & Kar, T.K., 2016. "Optimal control and stability analysis of an epidemic model with population dispersal," Chaos, Solitons & Fractals, Elsevier, vol. 83(C), pages 67-81.
    2. Marcin Budzynski & Aneta Luczkiewicz & Jacek Szmaglinski, 2021. "Assessing the Risk in Urban Public Transport for Epidemiologic Factors," Energies, MDPI, vol. 14(15), pages 1-34, July.

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