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具有相互干扰和恐惧效应的捕食模型的稳定性

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研究一类具有相互干扰和恐惧效应的Lotka-Volterra食饵-捕食模型,分析解的有界性和系统平衡点的存在性,并给出系统持续性的充分条件,通过Dulac判别法得出正平衡点是全局渐近稳定的,具有相互干扰和恐惧效应的食饵-捕食模型能长期共存并保持生态平衡.
Stability of a Class of Predation Models with Mutual Interference and Fear Effects
A class of Lotka-Volterra predator-prey models with mutual interference and fear effects is studied,the boundness of the solution and the existence of the equilibrium point of the system are an-alyzed,and sufficient conditions for the sustainability of the system are given.Through Dulac discrimi-nation,the positive equilibrium point is globally asymptotically stable,and the conclusion is drawn:Predator-predator models with mutual interference and fear effects can coexist for a long time and main-tain ecological balance.

predatory systemmutual interferencefear effectequilibrium pointstability

蒋唐唐、张睿

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兰州交通大学数理学院,甘肃兰州 730070

捕食系统 相互干扰 恐惧效应 平衡点 稳定性

2024

咸阳师范学院学报
咸阳师范学院

咸阳师范学院学报

CHSSCD
影响因子:0.137
ISSN:1672-2914
年,卷(期):2024.39(2)
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