咸阳师范学院学报2024,Vol.39Issue(2) :16-19.

具有相互干扰和恐惧效应的捕食模型的稳定性

Stability of a Class of Predation Models with Mutual Interference and Fear Effects

蒋唐唐 张睿
咸阳师范学院学报2024,Vol.39Issue(2) :16-19.

具有相互干扰和恐惧效应的捕食模型的稳定性

Stability of a Class of Predation Models with Mutual Interference and Fear Effects

蒋唐唐 1张睿1
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作者信息

  • 1. 兰州交通大学数理学院,甘肃兰州 730070
  • 折叠

摘要

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.

Abstract

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.

关键词

捕食系统/相互干扰/恐惧效应/平衡点/稳定性

Key words

predatory system/mutual interference/fear effect/equilibrium point/stability

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出版年

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
参考文献量11
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