Large time behavior in a diffusive SEIR epidemic model with general incidence

Abstract This paper is concerned with a diffusive susceptible–exposed–infected–recovered (SEIR) epidemic model with a class of general incidence function f ( S , I ) . With the aid of the constructed Lyapunov functionals, we study the large time behavior of the disease free endemic equilibrium (DFE) and the endemic equilibrium (EE) respectively. Moreover, the convergence rate of DFE is derived in this paper.

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