一类食饵种群具有常数存放率的n+2次kolmogorov系统的极限环

The Limit Cycles of an n+2-Degree Kolmogorov System with Constant Rate between Predator and Prey Delivering

讨论一类食饵种群具有常数存放率的n+2次kolmogorov系统:x′=x(a0+a1x-a2x2-a3yn-a4xyn)+F,y′=y(x2-1),得到系统不存在极限环和存在唯一极限环充分条件,并推广了前人的部分结果。

The n＋2-degree kolmogorov system with constant rate between predator and prey delivering：x＇=x（a0＋a1x-a2x2-a3yn-a4xyn）＋F,y＇=y（x2-1）Is discussed. The sufficient conditions of the existence, uniqueness and nonexistence of limit cycles are obtained .