时滞阶段结构捕食系统概周期正解的存在唯一性

Existence and Uniqueness of the Almost Periodic Solution of a Prey-predator Stage- structure Model with Time-delay

讨论一类具有基于比率型 Holling 型功能性反应且含时滞的阶段结构的捕食被捕食模型。通过利用比较原理 ,得到了系统一致持久性 ;通过构造 Razumikhin函数 。

A nonautonomous stage structured prey predator model with time delays and ratio dependent Holling Ⅲ functional response is discussed.By the comparison theorem,the system in this paper is uniformly persistent.The conditions of the existence and uniqueness of the positive almost periodic solution which is uniformly asymptotically stable are obtained by the Razumikhin function method.