具有常数捕获猎物和Allee效应的Leslie-Gower模型的动力学研究
The Dynamics Study of the Leslie-Gower Model with Constant Prey Capture and Effect
DOI: 10.12677/aam.2024.137328, PDF,   
作者: 孙 营, 孙福芹：天津职业技术师范大学理学院，天津
关键词: Allee效应；有界性；稳定性；平衡点；Allee Effect； Boundedness； Stability； Equilibrium Point
摘要: 文章考虑具Allee效应的Leslie-Gower模型。在常数捕获的情况下，研究了捕食者和食饵的动力学行为，分析了模型的有界性、平衡点的稳定性和类型以及Hopf分支现象。
Abstract: In this paper, the dynamic behavior of predator and prey is studied by adding the restriction of the Allee effect of predator to the Leslie Gower model in the case of constant predator capture. In this paper, the boundedness of the model, the stability and type of equilibrium point and Hopf branching phenomenon are analyzed.
文章引用：孙营, 孙福芹. 具有常数捕获猎物和Allee效应的Leslie-Gower模型的动力学研究[J]. 应用数学进展, 2024, 13(7): 3425-3432. https://doi.org/10.12677/aam.2024.137328

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