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Stability Analysis of SEIRS Epidemic Model with Nonlinear Incidence Rate Function

Author

Listed:
  • Pengcheng Shao

    (Feixian Campus, Linyi University, Linyi 276000, China)

  • Stanford Shateyi

    (Department of Mathematics, University of Venda, Private Bag X5050, Thohoyandou 0950, South Africa)

Abstract

This paper addresses the global stability analysis of the SEIRS epidemic model with a nonlinear incidence rate function according to the Lyapunov functions and Volterra-Lyapunov matrices. By creating special conditions and using the properties of Volterra-Lyapunov matrices, it is possible to recognize the stability of the endemic equilibrium ( E 1 ) for the SEIRS model. Numerical results are used to verify the presented analysis.

Suggested Citation

  • Pengcheng Shao & Stanford Shateyi, 2021. "Stability Analysis of SEIRS Epidemic Model with Nonlinear Incidence Rate Function," Mathematics, MDPI, vol. 9(21), pages 1-15, October.
    • Handle: RePEc:gam:jmathe:v:9:y:2021:i:21:p:2644-:d:660353
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    References listed on IDEAS

    as
    1. Liao, Shu & Wang, Jin, 2012. "Global stability analysis of epidemiological models based on Volterra–Lyapunov stable matrices," Chaos, Solitons & Fractals, Elsevier, vol. 45(7), pages 966-977.
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