Stability Analysis of SEIRS Epidemic Model with Nonlinear Incidence Rate Function

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 (E1) for the SEIRS model. Numerical results are used to verify the presented analysis.

Keywords

• global stability
• SEIRS
• dynamical systems
• Volterra-Lyapunov stability