吉林大学学报（理学版）2024，Vol.62Issue(4)：800-808,9.DOI:10.13413/j.cnki.jdxblxb.2023454
具有恐惧效应及修正的Holling-Ⅱ捕食者-食饵模型动力学分析
Dynamic Analysis of a Predator-Prey Model of Holling-Ⅱ with Fear Effect and Modification
摘要
Abstract
By using the eigenvalue theory of differential equations,Poincare-Bendixson ring theorem and Hopf bifurcation theory,we analyzed the predator-prey model of Holling-Ⅱ with fear effect and modification,gave the stability of the equilibrium point of the model,and proved that the model had stable limit cycles and Hopf bifurcations appeared at coexistence equilibrium points.The results show that the fear effect and the modified Holling-Ⅱ function have significant effects on the stability of the system.关键词
捕食者-食饵模型/恐惧效应/修正的Holling-Ⅱ功能反应函数/稳定性/Hopf分支Key words
predator-prey model/fear effect/modified Holling-Ⅱ functional response function/stability/Hopf bifurcation分类
数理科学引用本文复制引用
刘宇鹏,石垚..具有恐惧效应及修正的Holling-Ⅱ捕食者-食饵模型动力学分析[J].吉林大学学报（理学版）,2024,62(4):800-808,9.基金项目
国家自然科学基金(批准号:12201067)、陕西省自然科学基础研究计划项目(批准号:2022JQ-054)、陕西省科协青年人才托举计划项目(批准号:20230523)、中央高校基本科研业务费专项基金(批准号:300102122114)和长安大学研究生科研创新实践项目(批准号:300103723070). （批准号:12201067）
