平方根功能反应捕食者–食饵模型的Hopf分支
Hopf Bifurcation of the Square Root Functional Response Predator-Prey Model
DOI: 10.12677/PM.2021.116138, PDF,   
作者: 吕文娟, 孙芳娟:西北师范大学数学与统计学院,甘肃 兰州
关键词: 捕食者–食饵模型避难所稳定性Hopf分支Predator-Prey Model Prey Refuge Stability Hopf Bifurcation
摘要: 本文研究具有避难所的平方根功能反应捕食者–食饵模型的Hopf分支的方向和分支周期解的稳定性。结果表明,当避难所作为参数等于一个阈值时,它会发生Hopf分支。
Abstract: In this paper, we investigate the direction of Hopf bifurcation and the stability of periodic solution of the bifurcation in a predator-prey model with the square root functional response. The results show that Hopf bifurcation occurs when the refuge as a parameter is equal to a threshold.
文章引用:吕文娟, 孙芳娟. 平方根功能反应捕食者–食饵模型的Hopf分支[J]. 理论数学, 2021, 11(6): 1250-1256. https://doi.org/10.12677/PM.2021.116138

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