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Competitive Coexistence in a Two-Strain Epidemic Model with a Periodic Infection Rate

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  • Chentong Li
  • Yingying Zhang
  • Yicang Zhou

Abstract

In this article, we study the global dynamical behavior of a two-strain SIS model with a periodic infection rate. The positivity and boundedness of solutions are established, and the competitive exclusion conditions are given for the model. The conditions for the global stability of the disease-free equilibrium and persistence of the model are obtained. The conditions of coexistence in this model are also found. Finally, the conditions of uniqueness of the solution are proved.

Suggested Citation

  • Chentong Li & Yingying Zhang & Yicang Zhou, 2020. "Competitive Coexistence in a Two-Strain Epidemic Model with a Periodic Infection Rate," Discrete Dynamics in Nature and Society, Hindawi, vol. 2020, pages 1-10, March.
    • Handle: RePEc:hin:jnddns:7541861
    DOI: 10.1155/2020/7541861
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