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.

中文翻译：

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具有一般发病率的扩散SEIR流行病模型中的长时间行为

本文涉及具有一类普通发病函数的弥散性易感性，暴露，感染，恢复（SEIR）流行病模型 $F（\mathrm{小号}，\mathrm{一世}）$。借助构造的Lyapunov泛函，我们分别研究了无病地方病平衡（DFE）和地方病平衡（EE）的长时间行为。此外，本文还推导了DFE的收敛速度。