一类具有常数收获率的具有功能性反应捕食模型的定性分析

Qualitative Analysis of a Class of Catching-food Model with Functional Response and with Constant Harvesting Rate

在密度制约的条件下,对两种群均具有收获率的HollingⅣ型功能反应模型进行了定性分析,应用微分方程定性理论,讨论了平衡点的存在性,得到了极限环不存在的判定条件.

Under the condition of density restriction,Holling IV functional response model of two kinds of group with harvesting rate is qualitatively analyzed.The existence of equilibrium point is discussed by using qualitative theory of differential equation and the judgment condition that limit loop does not exist is obtained.