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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… Click to show full 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 ℜ0<1$\Re_{0}<1$, the disease-free equilibrium is globally asymptotically stable, and if ℜ0>1$\Re_{0}>1$, 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.
Journal Title: Advances in Difference Equations
Year Published: 2018
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