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具有分布时滞的互惠系统Hopf分歧分析

Hopf Bifurcation Analysis in a Cooperation System with Distributed Delay
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摘要 考虑了一类具有扩散项和分布时滞的互惠系统,研究了系统Hopf分歧的出现,用中心流行定理证明了周期解的稳定性. A cooperation system with diffusion and distributed delay was considered, the ocurrenee of the Hopf bifurcation was investigated, and the stability of the periodic solutions was proved by the centermanifold theory.
出处 《数学的实践与认识》 CSCD 北大核心 2009年第14期255-260,共6页 Mathematics in Practice and Theory
基金 河南省自然科学基金(06110551000) 许昌学院自然科学基金(2009097)
关键词 互惠系统 分布时滞 稳定性 Hopf Bifurcation Distributed time-elay Cooperation system
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参考文献6

  • 1Wan-Tong Li,Xiang-Ping Yan,Cun-Hua Zhang.Stability and Hopf bifurcation for a delay cooperation diffusionsystem with Dirichlet boundary conditions[].ChaosSolitonsFractals.2008 被引量:1
  • 2Li Zhou,Yanbin Tang,Shawgy Hussein.Stability and Hopf bifurcation for a delay competition diffusion system[].Chaos Solitons Fractals.2002 被引量:1
  • 3Y.B.Tang,,L.Zhou.Hopf Bifurcation and Stability of a Competition Diffusion System with Distributed Delay[].Publication of Research Institute for Mathematical Sciences.2005 被引量:1
  • 4Tang Yanbin,Zhou Li.Great time delay in a system with material cycling and delayed biomass growth[].IMA Journal of Applied Mathematics.2005 被引量:1
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