Stability Analysis of SEIRS Epidemic Model with Nonlinear Incidence Rate Function

Pengcheng Shao and Stanford Shateyi
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Pengcheng Shao: Feixian Campus, Linyi University, Linyi 276000, China
Stanford Shateyi: Department of Mathematics, University of Venda, Private Bag X5050, Thohoyandou 0950, South Africa

Mathematics, 2021, vol. 9, issue 21, 1-15

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.

Keywords: global stability; SEIRS; dynamical systems; Volterra-Lyapunov stability (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2021
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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