西华大学学报（自然科学版）2025，Vol.44Issue(6)：99-106,8.DOI:10.12198/j.issn.1673-159X.5924
一类具有恐惧效应时滞与合作狩猎的捕食者-食饵模型研究
Research on a Class of Predator-prey Models with Fear Effect Time Delay and Cooperative Hunting
摘要
Abstract
To study the influence of fear level,fear effect time lag and the degree of cooperative hunt-ing of predators on the dynamic behavior of the model under certain conditions,fear response delay and predator cooperative hunting were introduced into the model with fear effect.This paper studies the non-negativity and boundedness of the model solutions,the existence and stability of equilibrium points,and discusses the Hopf bifurcation at the positive equilibrium under the condition of time delay.Research shows that the fear effect,fear effect time lag,and cooperative hunting all have varying degrees of influence on the stability of the model.A higher level of fear and a relatively short time lag of the fear effect are more con-ducive to the stability of the model.Moderately reducing the degree of cooperative hunting can help en-hance the stability of the system.关键词
捕食者-食饵模型/恐惧效应/恐惧效应时滞/合作狩猎/Hopf分支Key words
predator-prey model/fear effect/fear response delay/cooperative hunting/Hopf bifurcation分类
数理科学引用本文复制引用
李博涵,刘俊利..一类具有恐惧效应时滞与合作狩猎的捕食者-食饵模型研究[J].西华大学学报（自然科学版）,2025,44(6):99-106,8.基金项目
国家自然科学基金项目(11801431) （11801431）
陕西省杰出人才资助项目(10701000506) （10701000506）
陕西省自然科学基础研究计划项目(2024JC-YBMS-001). （2024JC-YBMS-001）
