Stability analysis of a disease resistance SEIRS model with nonlinear incidence rate

Abstract

Abstract In this paper, we study a new SEIRS epidemic model describing nonlinear incidence with a more general form and the transmission of influenza virus with disease resistance. The basic reproductive number ℜ0 $\Re_{0}$ is obtained by using the method of next generating matrix. If ℜ01 $\Re_{0}>1$, by using the geometric method, we obtain some sufficient conditions for global stability of the unique endemic equilibrium. Finally, numerical simulations are provided to support our theoretical results.

Keywords

• nonlinear incidence
• SEIRS epidemic model
• disease resistance
• geometric approach