具有恐惧效应及修正的Holling-Ⅱ捕食者-食饵扩散模型的动力学分析OA北大核心CSTPCD

A Holling-Ⅱ predator-prey diffusion model with fear effect and modification under homogeneous Dirichlet boundary conditions is studied.Firstly,the prior estimation of the model is given by applying the maximum value principle and comparison theorem.Then,by calculating the fixed point index of the cone map,the sufficient condition for the existence of the positive solution is obtained.When H is sufficiently large,the stability of the positive solution is discussed according to the linear stability theory.Finally,by means of spectral analysis and branching theorem,the existence and stability of local branching solutions are discussed with m as the branching parameter.