中文摘要：

本文研究了一类具常数接触率的传染病模型,用上下解方法和Liapnuov泛函讨论了地方病平衡点及无病平衡点的渐近行为,得到了各自全局稳定的充分条件.

英文摘要：

In this paper it is considered some epidemic model with constant contact.Upper and lower solution method and Liapnuov functional method are used to discuss the stabilities of the disease-free equilibrium and the endemic equilibrium.Sufficient conditions are given such that the disease-free equilibrium and the endemic equilibrium are stable.