具有Holling Ⅱ捕食功能反应的捕食系统奇点的稳定性与极限环的存在性

Discussion on the Stability of Singular Point and the Existence of Limit Cycle for A Class of Predator- prey System with Holling II Functional Response

本文研究了一类具有HollingⅡ型捕食功能反应的捕食系统,对系统进行了定性分析,给出了该系统奇点稳定性的相关讨论结果、系统包含正奇点的全局稳定性及极限环的存在性的证明.

This paper studies the stability of singular point and the existence of limit cycle for a class of predator- prey systems with Holling II functional response,and carries on the qualitative analysis to the system,and gives the discussion results of the stability of singular point and the singularity global stability and the proof of the existence of limit cycle. Finally,numerical examples are put forward to illustrate the effectiveness of the discussion in the article.