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

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 ℜ 0 is obtained by using the method of next generating matrix. If ℜ 0OpenSPiltSPi 1 , the disease-free equilibrium is globally asymptotically stable, and if ℜ 0CloseSPigtSPi 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.