井冈山大学学报（自然科学版）2026，Vol.47Issue(3)：1-8,8.DOI:10.3969/j.issn.1674-8085.2026.03.001
一类具有恐惧效应和食腐行为的分数阶捕食系统的稳定性分析
Stability analysis of a fractional-order predator-prey system with fear effect and scavenging behavior
摘要
Abstract
A fractional-order predator-prey model with fear effect on epidemic and scavenging behavior of predators is discussed,and the existence and local asymptotic stability of the equilibrium points of the model are investigated.Sufficient conditions for the asymptotic stability of the endemic equilibrium and the positive equilibrium are provided.The conclusion indicates that the stability of the endemic equilibrium and the positive equilibrium are incompatible.Moreover,the numerical simulations also verify the correctness of the results.关键词
分数阶/恐惧效应/食腐行为/稳定性Key words
fractional-order/fear effect/scavenging behavior/stability分类
数理科学引用本文复制引用
杜争光,蒲武军..一类具有恐惧效应和食腐行为的分数阶捕食系统的稳定性分析[J].井冈山大学学报（自然科学版）,2026,47(3):1-8,8.基金项目
国家自然科学基金项目(11501269) （11501269）
甘肃省自然科学基金项目(25JRRK002) （25JRRK002）
