具Holling Ⅳ类功能反应的食物链系统的持久性和周期解

Permanence and Periodic Solution of the Food Chain System with Holling Ⅳ Type Functional Response

讨论了一类具HollingⅣ型功能反应的食物链非自治系统,应用函数的上下平均值定义和微分方程比较原理得到保证系统持久和周期解存在的充分条件,推广了已有文献的相关结果.

This paper discusses the non-autonomous food chain system with Holling Ⅳ type functional response, and proposes that, by applying the definition of the upper and lower average values of functions and the differential comparison theorem, some sufficient conditions which guarantee the permanence of the system and the existence of periodic solution can be obtained. The result has extended the related reports in the literature.