食饵种群具有常数放养的Ⅱ型功能反应捕食系统的定性分析

Qualitative Analysis of a Predator——Prey System With Type Ⅱ Functional Response and Constant——Rate Grazing Prey Species

考虑食饵种群具有常数放养的Holling Ⅱ型功能反应捕食系统 x=(r—bx)x—yφ(x)+k y=y(-d+eφ(x))这里φ(x)=(ax)/(1+ωx)为Holling Ⅱ型功能反应函数,k】0是食饵种群的常数放养率。1 平衡点的性质及其稳定性经无量纲变换,系统(1)

In this parer,authors discuss a Predator----Prey System x=(r-bx)x-axy/1+ωx+K y=y(-d+eax/1+ωx) The qualities and stabilities of equslibrium is discussed and the existence of limit sycles is oblained.