一类具有非线性功能反应的食物链系统的持久生存

Persistence for a Food—chain System with Nonlinear Functional Response and Time Delay

对一类具有HollingⅣ类功能反应和离散时滞的非自治食物链系统进行了研究,得到了系统一致持久生存的充分条件;并且当系统是周期系统时,得到了系统周期解的存在唯一及全局渐近稳定的充分判据.

In this paper,the author considered a food—chain system with HollingⅣfunctional response and time delay.Some sufficient conditions for the persistence of the system are obtained.Also,when the system is periodic,some sufficient conditions for the existence and attractivity of the positive solution of the system are given by constructing a special Lyapunov function.