Bazykin捕食系统的平衡点和余维2 Bogdanov-Takens分支：全局渐近稳定性
Equilibria and Bogdanov-Takens Bifurcation of Codimension 2 of the Bazykin’s Predator-Prey System: Global Asymptotic Stability
摘要: 本文从一个全局渐近稳定性定理出发讨论了Bazykin捕食系统，并在特定参数条件下给出若干内平衡点和一个余维2 BT分支，包括重数为1的多重焦点、余维2尖点和余维3 Bogdanov-Takens奇点(焦点或中心)。最后，结合数值类比，系统经历相应的余维2 Bogdanov-Takens分支。
Abstract: This paper discusses the Bazykin’s predator-prey system from a globally asymptotically stable theorem, and presents several interior equilibria and a Bogdanov-Takens bifurcation of codimension 2 under certain parameter conditions, including multiple focus of multiplicity one, cusp of codimension 2 and Bogdanov-Takens singularity of codimension 3 (focus or center). Finally, combining numerical simulations, this system undergoes the corresponding codimension 2 Bogdanov-Takens bifurcation.
文章引用：王双特, 于恒国. Bazykin捕食系统的平衡点和余维2 Bogdanov-Takens分支：全局渐近稳定性[J]. 应用数学进展, 2021, 10(5): 1689-1701. https://doi.org/10.12677/AAM.2021.105180

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