首页|一类具有恐惧效应和Holling-Ⅳ型功能反应的捕食系统的稳定性分析

一类具有恐惧效应和Holling-Ⅳ型功能反应的捕食系统的稳定性分析

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针对一类具有恐惧效应和Holling-Ⅳ型功能反应的捕食系统,通过线性化方法分析系统平衡点的类型和稳定性,获得了系统在恐惧效应下正平衡点的存在性及稳定条件.利用MATLAB软件包对所获得的理论结果进行了数值验证.结果表明,恐惧效应会影响系统正平衡点的类型及稳定性.
Stability analysis of a predation system with fear effect and Holling-Ⅳ type functional response
This paper considers the stability of a predator-prey system with fear effect and Holling-Ⅳtype functional response.By using linearization system,the types and stability of the system equilibrium points were analyzed,the existence and stability conditions of the positive equilibrium point under fear effect were provided.Then,the theoretical results are numerically validated using the MATLAB software package.The results indicate that fear effect can influence the types and stability of system equilibrium points.

predator-prey systemfear effectHolling-Ⅳ type functional responsestability

王嘉睿、张存华

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兰州交通大学数理学院,甘肃兰州 730070

捕食者-食饵模型 恐惧效应 Holling-Ⅳ型功能反应 稳定性

2024

陕西理工大学学报(自然科学版)
陕西理工学院

陕西理工大学学报(自然科学版)

影响因子:0.425
ISSN:2096-3998
年,卷(期):2024.40(5)