一类捕食系统中的Hopf分岔
Hopf Bifurcation in a Class of Predator-Prey Systems
DOI: 10.12677/AAM.2018.76081, PDF,    国家自然科学基金支持
作者: 李自尊：百色学院，广西 百色
关键词: 捕食系统；Lyapunov系数；Hopf分岔；Predator-Prey System； Lyapunov Coefficient； Hopf Bifurcation
摘要: 本文研究了食饵具有防御机制的一类捕食系统。通过计算Lyapunov系数证明内部平衡点为一阶细焦点, 并给出了Hopf分岔的参数条件。
Abstract: In this paper, we studied a class of predator-prey system with a defense mechanism of the prey. By calculating the Lyapunov coefficient, the internal equilibrium point is proved to be a first order weak focus, and the parameter conditions of Hopf bifurcation are given.
文章引用：李自尊. 一类捕食系统中的Hopf分岔[J]. 应用数学进展, 2018, 7(6): 680-684. https://doi.org/10.12677/AAM.2018.76081

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