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提出了一类含分布时滞的流行病模型，利用构造李亚普诺夫泛函的方法，得到了无病平衡点和地方病平衡点全局稳定性的结论，揭示了平均时滞对各类平衡点稳定性的影响。
A class of epidemic model with distributed delay is proposed. By means of constructing Lyapunov functional, the global stability of the disease-free equilibrium and the endemic equilibrium are obtained. The results show that the average delay stabilizes all kinds of equilibrium Sexual effects.