中文摘要：

利用定义法给出SEIR模型的基本再生数，得到了各类平衡点存在的条件。利用Routh-Hurwitz判据证明了地方病平衡点P＇是局部渐近稳定的：利用第二加性复合矩阵证明了地方病平衡点P’全局稳定性的充分条件。

英文摘要：

The basic reproduction number of the model is given by using the definition, and the existing threshold conditions of all kinds of the equilibrium points are obtained. Locally asymptotic stability of the endemic equilibrium P＇ is proven by using the Routh-Hurwitz criterion, and the sufficient conditions of global asymptotic stability of the endemic equilibrium P＇is also obtained by using the second additive compound matrix.