中文摘要：

建立并分析了一个捕食者具有传染病的生态——流行病模型，应用特征根法得到其中平衡点的局部渐进稳定的充分条件，进一步分析了其中平衡点的全局稳定性，得到了边界平衡点的全局稳定的充分条件．

英文摘要：

In this paper, we formulate and analyze one predator-prey model of predator with epidemic, and obtain sufficient condition of locally asymptotically stable of some equilibrium, furthermore, we analyze the global stability of some equilibrium, obtain the sufficient condition of predator extinction.