具有阶段结构自食捕食系统的持久性与稳定性

Permanence and Global Stability of A Predator-Prey System with Stage Structure

研究了一种具有阶段结构自食捕食系统持久性与稳定性。利用比较原理证明了系统在适当条件下是一致持久的,通过构造Lyapunov函数得到系统的全局稳定性。

A predator-prey system with stage structure and cannibalism is investigated.By using the comparison theorem,it is shown that the system is uniform persistence under some appropriate conditions.By constructing Lyapunov function,the gobal stability of the system is obtained.