%0 Journal Article
%T Bazykin捕食系统的平衡点和余维2 Bogdanov-Takens分支：全局渐近稳定性<br>Equilibria and Bogdanov-Takens Bifurcation of Codimension 2 of the Bazykin’s Predator-Prey System: Global Asymptotic Stability
%A 王双特
%A 于恒国
%J Advances in Applied Mathematics
%P 1689-1701
%@ 2324-8009
%D 2021
%I Hans Publishing
%R 10.12677/AAM.2021.105180
%X 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。<br />
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.
%K Bazykin捕食系统，Holling II型功能反应，平衡点，Bogdanov-Takens分支，全局渐近稳定性<br>Bazykin’s Predator-Prey System
%K Holling Type II Functional Response
%K Equilibrium
%K Bogdanov-Takens Bifurcation
%K Global Asymptotic Stability
%U http://www.hanspub.org/journal/PaperInformation.aspx?PaperID=42782