一类Leslie模型的定性分析

Qualitative Analysis for a Class of Leslie Medel

对一类Leslie模型进行定性分析，研究了其极限环的存在性，不存在性和唯一性．证明了该系统在细焦点外围至多有一个极限环，以及如果系统有奇数个极限环，则它恰有一个极限环．

This paper study the existence, nonexistence and uniqueness of limit cycle for a class of leslie model. It is proved that there is at most one limit cycle around weak flcus if there are odd number of limit cycles then it has only one limit cycle.