具有阶段结构的Holling-Tanner捕食系统的持久性与概周期解

Permanence and Almost Periodic Solution for a Predator-Prey System with Stage-Structure

本文研究一类具有阶段结构的非自治Holling-Tanner系统,考虑了食饵种群具有年龄阶段结构,得到了系统一致持久生存和最终绝灭的充分条件,通过构造适当的Lyapunov函数,得到了概周期解的存在唯一性的充分条件,最后通过数值模拟来验证系统的一致持久生存。

In this paper, we study a nonautonomous prey-predator system with stage-structure and Holling-Tanner Ⅱ func-tional response.We obtain the sufficient conditions for the persistence and the extinction for the system .What＆#39;s more, when the system is almost periodic, we derive the sufficient conditions for the existence and the global asymptotic stability of almost periodic solution by constructing a special Lyapunov functional.At the last, numerical simulations are presented to illustrate the perma-nence of the system.