一个放牧有相互干扰的食—植系统极限环的存在性与唯一性

The Existence and Uniqueness of Limit Cycle of a plant Eater-plant system with Mutual Interfernce in put Out to Pasture

本文对一个放牧有相互干扰的食—植系统(E)极限环的存在性与唯一性进行了重新讨论,首先通过对奇点性态的分析得到了系统(E)极限环的存在性,接着通过一系列变换将其化为广义Li(?)bard方程,最后分析方程的性质得到了极限环唯一性的猜测.

This paper.we investigate the existence and uniqueness of Limit Cycle of a plant eater-plant system with mntual interference in put out to pasture once again. First we obtain the existence of the system's Limit cycle by analysising the Singular point's characteristic. then change the system into li(?)nard equation by using a series of transformations. Finally we preste-nd a guess of the Limit cycle's uniqueness.