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脉冲条件下具周期时滞的竞争模型的周期正解(英文)

Positive Periodic Solutions of a Competition Model Governed by Impulsive Differential Equations with Periodic Delays
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摘要 使用Mawhin重合度理论的连续性定理和拓扑度理论,对脉冲条件下具周期时滞的竞争模型进行研究,得到了该模型周期正解存在的充分必要条件. Using the continuation theorem of coincidence degree theory proposed by Mawhin and topoiogical degree, theory to study the periodic solutions of a competition model governed by impulsive differential equations with periodic delays and sufficient and necessary condition of existence of positive periodic solution for the system is obtained.
作者 王会玫
出处 《昆明师范高等专科学校学报》 2006年第4期62-67,共6页 Journal of Kunming Teachers College
关键词 周期正解 重合度定理 竞争模型 脉冲方程 Periodic solution Coincidence degree theory Competition model Impulsive equations.
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参考文献6

  • 1YANG Kuang.Delay differential equations with applications in population dynamics[]..1993
  • 2GAINS R E,MAWHIN J L.Coincidence degree and nonlinear differential equations[]..1997
  • 3LI Y K,LU L H.Global exponential stability and existence of periodic solution of Hopfield-type neural networks with impulses[].Physics Letters.2004
  • 4LAKSHMIKANTHAM V D D,BAINOV P S.Theory of impulsive differential equations[]..1989
  • 5LI Y K.Positive periodic solution of a competition model with periodic delay[].Bulletin of Biomathematics.1997
  • 6GOPALSAMY K.Stability and oscillations in delay differential equations of population dynamics[]..1992

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