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OA
Stability analysis of a fractional-order predator-prey system with fear effect and scavenging behavior
本研究讨论一类对流行病具有恐惧效应和捕食者具有食腐行为的分数阶捕食者-食饵模型,探索了该模型平衡点的存在性和局部渐近稳定性,给出了地方病平衡点和正平衡点渐近稳定的充分条件,结论表明:地方病平衡点和正平衡点的稳定性之间是不相容的.此外,数值模拟也验证了理论推导结果的正确性.
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.
杜争光;蒲武军
陇南师范学院数学与计算机学院,甘肃,陇南 742500陇南师范学院数学与计算机学院,甘肃,陇南 742500
数理科学
分数阶恐惧效应食腐行为稳定性
fractional-orderfear effectscavenging behaviorstability
《井冈山大学学报（自然科学版）》 2026 (3)
1-8,8
国家自然科学基金项目(11501269)甘肃省自然科学基金项目(25JRRK002)
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