摘要
本文研究捕食者种群具有线性密度制约的一类稀疏效应下捕食-被捕食者系统x=x(ax-cx3-by),y=y(-α+βx-γy).(*)得到:(1)当A1<A1,A2<A2,A3>A3时,系统(*)在第一象限内存在极限环;(2)当A2<A2,A3>A3时。
A predator prey model with sparrssing effect is considered as follows:=x(ax-cx 3-by);=y(-α+βx-γy)(*). The main result is as follows: (1) when A 1< 1,A 2< 2,A 3> 3,there at leastn exists a limit cycle of the system(*); (2) when A 2< 2,A 3> 3,there exists unique limit cycle of the system(*).
基金
国家自然科学基金