吉首大学学报（自然科学版）2026，Vol.47Issue(2)：10-17,8.DOI:10.13438/j.cnki.jdzk.2026.02.003
具有恐惧效应的Leslie-Gower捕食-食饵模型的Hopf分支
Hopf Bifurcation of the Leslie-Gower Predator-Prey Model with Fear Effect
摘要
Abstract
We investigate the Hopf bifurcation behavior of a Leslie-Gower predator-prey model with Holling-type Ⅱ functional response and fear effect.By applying the Hurwitz criterion,we analyze the ex-istence and stability of the equilibrium points of the model.Taking the fear factor as the bifurcation pa-rameter and combining with bifurcation theory,we rigorously prove that the model undergoes a Hopf bi-furcation under certain conditions.On this basis,we further discuss the direction of the Hopf bifurcation,the stability of the periodic solutions,and the existence of limit cycles,and completely characterize the complex dynamical behaviors of the model under the fear effect.关键词
Leslie-Gower/Hopf分支/恐惧效应/Poincaré-Andronov-Hopf分支定理Key words
Leslie-Gower model/Hopf bifurcation/fear effect/Poincaré-Andronov-Hopf Bifurcation Theo-rem分类
数理科学引用本文复制引用
范茹,李杰梅..具有恐惧效应的Leslie-Gower捕食-食饵模型的Hopf分支[J].吉首大学学报（自然科学版）,2026,47(2):10-17,8.基金项目
甘肃省自然科学基金重点资助项目(23JRRA861) （23JRRA861）
