具有双线性传染率的捕食-食饵种群传染病模型分析

Analysis of Predator-prey of Epidemic Model with Double Linear Infection Rate

利用种群动力学理论及传染病模型理论,研究了一类具有双线性传染率的捕食-食饵传染病模型的全局稳定性,考虑种群内部竞争影响和染病捕食者的捕获率和自然死亡率等因素,得到了无病平衡点和地方病平衡点存在的阈值R0的范围,并借助于李雅普诺夫函数的构造,证明了无病平衡点和地方病平衡点的全局稳定性。

This paper studies a predator-prey epidemic model with double linear infection rate. We have obtained a threshold value R0 and shown that there is only a disease free equilibrium point when R0 1,and there is also an endemic equilibrium point if R0 1. With the help of Lyapunov function,we have shown that disease free and endemic equilibrium point is globally stable.