具有Holling Ⅳ功能性反应的捕食系统的多重周期正解

Multiple Positive Periodic Solution of a Predator-prey System with Non-monotonic Functional Response

利用重合度理论中的延拓定理,研究了一类食饵具有Smith增长和捕食者具有Holling Ⅳ型功能性反应的捕食者-食饵系统正周期解的存在性问题.运用分析技巧得到了两个有界开集和至少存在两个周期正解的充分条件.获得了一些新结果.

In this paper, by means of the continuation theorem based on coincidence degree theory, we study the existence of positive periodic solutions for a predator-prey system with smith growth for prey and non-monotonic functional response for predator. Two bounded open sets are obtained by using analytic technique and a set of sufficient conditions for this system to have at least two positive periodic solutions is obtained. Some new results obtained.