浙江大学学报（理学版）2024，Vol.51Issue(2)：186-195,10.DOI:10.3785/j.issn.1008-9497.2024.02.007
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
Dynamic analysis of a predator-prey diffusion model with fear effect and modification of Holling-Ⅱ
摘要
Abstract
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.关键词
恐惧效应/修正的Holling-Ⅱ功能反应函数/稳定性/局部分支解Key words
fear effect/modified Holling-Ⅱ functional response function/stability/local branching solution分类
数理科学引用本文复制引用
刘宇鹏,曹倩,包雄雄..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[J].浙江大学学报（理学版）,2024,51(2):186-195,10.基金项目
国家自然科学基金资助项目(12101075) （12101075）
长安大学研究生科研创新实践项目(300103723070). （300103723070）
