一类具有食饵选择的捕食-食饵模型的定性分析

Qualitative analysis of a predator-prey model with alternative prey

研究一类具有食饵选择的两物种间的捕食-食饵模型正平衡态解的存在性。利用上下解方法,给出系统非负平衡解的先验估计。以食饵的增长率r为分歧参数,利用局部分歧定理给出正常数解处分歧解的具体形式,并通过全局分歧理论将局部分支延拓到无穷。

The existence of positive steady-state solutions of a two species predator-prey model,in which the predator is partially coupled with alternative prey is investigated.By means of lower and upper solutions,a priori estimate of the non-negative steady-state solutions of the system is given.Taking the intrinsic growth rate of the prey population r as a bifurcation parameter,the concrete form of solutions bifurcated from the positive constant solution is given by local bifurca-tion theory and the local bifurcation solutions can also be extended to infinite by using global bifurcation theory.