应用数学2024，Vol.37Issue(4)：893-902,10.
具有恐惧效应和Holling Ⅱ类功能性反应捕食-食饵斑块模型的研究
Study of a Predator-Prey Patchy Model with Fear Effect and Holling Ⅱ Functional Response
摘要
Abstract
In this paper,we propose a predator-prey patchy model with fear effect and Holling Ⅱfunctional response.The existence and local stability of the equilibria are discussed.Moreover,the global stability of the boundary equilibrium is investigated.Furthermore,we find that with the increase of fear factor,the local stability of the unique positive equilibrium point of the system will change.Therefore,under appropriate condition,Hopf bifurcation will occur at the unique positive equilibrium of the system.Numerical experiments further verify the feasibility of our conclusions.关键词
恐惧效应/扩散/稳定性/Hopf分支Key words
Fear effect/Dispersal/Stability/Hopf bifurcation分类
化学化工引用本文复制引用
陈丽娟,朱紫睿,夏越..具有恐惧效应和Holling Ⅱ类功能性反应捕食-食饵斑块模型的研究[J].应用数学,2024,37(4):893-902,10.基金项目
福建省自然科学基金资助项目(2021J01614) （2021J01614）
