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具有Leslie-Gower反应的离散捕食—食饵系统的稳定性和分支分析 被引量：2

Stability and Bifurcation in a Discrete Predator-Prey System with Leslie-Gower Type
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摘要 研究了一类用向前欧拉法获得的具有Leslie-Gower反应类型的离散捕食系统的动力学行为.利用Jury判据,探讨了系统的渐进稳定性;利用分支理论和中心流型定理,证明了系统在一定条件下存在flip分支. The dynamic behavior of a discrete predator - prey system obtained by forward Euler method with Leslie - Cower type is investigated. The Criterion Jury is adopted to analyze the asymptotical stability. The center manifold theory and bifurcation theorem can prove that the flip bifurcation exists in a certain condition.
作者 张莉敏
机构地区 四川文理学院数学与财经系
出处 《四川文理学院学报》 2010年第2期13-15,共3页 Sichuan University of Arts and Science Journal
关键词 向前欧拉法 离散捕食-食饵系统 flip分支 Forward Euler method discrete predator - prey system flip bifurcation
分类号 O29 [理学—应用数学]
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参考文献9

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二级参考文献6

  • 1李金仙.一类具有阶段结构捕食系统的永久持续生存[J].山西师范大学学报（自然科学版）,2006,20(4):34-37. 被引量：1
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共引文献1

同被引文献16

  • 1Chen FD.Permanence and global attractivity of a discrete multispeciesLotka Volterra competition predator prey systems. Appl MathComput . 2006
  • 2Xiao Y,Cao JD,Lin M.Discrete-time analogues of predator preymodels with monotonic or nonmonotonic functional responses. Nonlinear Analysis Real World Applications . 2007
  • 3Celik C,,Duman O.Allee effect in a discrete-time predator-prey system. Chaos,Solitons&Fractals . 2009
  • 4Agiza HN,Elabbssy EM.Chaotic dynamics of a discrete prey-predatormodel with Holling type II. Nonlinear Analysis Real World Applications . 2009
  • 5Jing ZJ,,Yang JP.Bifurcation and chaos in discrete-time predator-preysystem. Chaos,Solitons&Fractals . 2006
  • 6Francisco JS.Self-limitation in a discrete predator prey model. MathComput Model . 2008
  • 7Chen XX.Periodicity in a nonlinear discrete predator prey system withstate dependent delays. Nonlinear Analysis Real World Applications . 2007
  • 8Yang X.Uniform persistence and periodic solutions for a discretepredator prey system with delays. Journal of Mathematical Analysis and Applications . 2006
  • 9Fang N,Cheng X.Permanence of a discrete multispecies Lotka Volterracompetition predator prey system with delays. Nonlinear Anal RealWorld Appl . 2008
  • 10Beddington JR,Free CA,Lawton JH.Dynamic complexity in predator-prey models framed in difference equations. Nature . 1975

引证文献2

二级引证文献1

四川文理学院学报
2010年 第2期

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