Stability Analysis of SEIRS Epidemic Model with Nonlinear Incidence Rate Function.

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. [ABSTRACT FROM AUTHOR]