具有恐惧效应和双曲死亡率的捕食者-食饵模型的平衡点稳定性和Hopf分支  

Equilibrium stability and Hopf bifurcation of a predator-prey models with fear effects and hyperbolic mortality rates

作　　者：马骞斌 张存华[1] MA Qianbin;ZHANG Cunhua(Department of Mathematics,Lanzhou Jiaotong University,Lanzhou,Gansu 730070,China)

机构地区：[1]兰州交通大学数学系,甘肃兰州730070

出　　处：《内江师范学院学报》2024年第10期36-40,共5页Journal of Neijiang Normal University

基　　金：国家自然科学基金项目(61563026)。

摘　　要：本文考虑了具有恐惧效应和双曲死亡率的捕食者-食饵模型,分析了平衡点的稳定性、正平衡点处Hopf分支的存在性以及Hopf分支的性质.同时,通过Matlab软件对相应的理论结果给予了数值模拟.In this paper,a predator-prey model with fear effect and hyperbolic mortality is considered.The stability of the equilibrium point,the existence of Hopf bifurcations and the properties of Hopf bifurcations are analyzed.Additionally,the corresponding theoretical results are numerically simulated by Matlab software.

关 键 词：恐惧效应 双曲死亡率 捕食者-食饵模型 稳定性 HOPF分支 

分 类 号：O175.26[理学—数学]