两种群分别有常投放率和常收获率的Holling-Ⅳ类捕食系统

Prey-Predator Model with Constant Investment Rate for Prey and Constant Harvesting Rate for Predator under Holling-Ⅳ Functional Response

考虑一类食饵种群具有密度制约项且具有常投放率而捕食者种群具有常收获率的Holling-Ⅳ类功能性反应捕食系统.通过对系统等倾线性态的讨论,判断出正平衡点的存在,进而给出正平衡点存在的条件,并分析了正平衡点的稳定性,证明了闭轨的不存在性.

A prey-predator model with constant investment rate and dense restriction for prey and constant harvesting rate for predator under Holling-Ⅳ functional response was studied.The existence of the positive equilibrium point was discussed by using isoclines shape,and the condition for the existence and the stability of the equilibrium point were analysed.Finally,the nonexistence of the closed orbit was proven by Dulac function.