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

作　　者：王双特 于恒国 

机构地区：[1]温州大学数理学院,浙江 温州

出　　处：《应用数学进展》2021年第5期1689-1701,共13页Advances in Applied Mathematics

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。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.

关 键 词：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 

分 类 号：O17[理学—数学]