有扩散、非自治的时滞捕食模型的持久性和全局吸引性

Permanence and Global Attractivity for the Nonautonomous Predator Model with Diffusion and Time Delay

研究了具有扩散项和时滞的非自治捕食系统,运用比较定理和通过构造适当的Liapunov函数,得到该系统是持久的和全局渐近稳定的充分条件。

A nonautonomous predator-prey ecological system with diffusion and continuous time delay is proposed in this paper. By applying the comparison theorem and constructing the suitable Lyapunov fundtion, sufficient conditions which the system is persistence and globally steady are obtained.