一类具有三个阶段结构的扩散捕食系统研究

Study on a Diffusive Predator-Prey System with Three Stage-Structure for Predator

讨论了一类捕食者具有三个阶段结构和Beddington型功能性反应,食饵可以在两个斑块间扩散的非自治捕食者-食饵系统.运用Liapunov函数方法,得到了该系统一致持续生存的充分条件.对于该模型的周期系统,讨论了存在唯一、全局渐近稳定的周期解的条件.

This paper considers a kind of nonautonomous diffusive system of two species Predator-prey system with three stage-structure for predator.The sufficient conditions are ob- tained for guaranteeing the permanence of the system by Liapunov method. Then the existence and uniqueness of the positive periodic solutions for corresponding periodic system are discussed.