一类时滞捕食者-食饵系统的稳定性

The Stability of a Predator-prey System with Delay

对一类具有时滞的捕食者-食饵系统的稳定性进行研究,主要利用线性化方法和构造合适的Liapunov函数的方法得到系统平衡点的局部稳定性和全局稳定性。

The stability of a predator-prey model with delay is studied in this paper. The local stability of the nonnegative equilibrium is derived using linearisation, and the global asymptotic stability of the positive equilibria of the model is obtained by constracting Liapunov function.