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带有Allee效应的离散Leslie-Gower系统动力学分析

Dynamics of a Discrete Leslie-Gower System with Allee Effect
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摘要 利用分支理论和中心流形定理,分析了一类食饵带有Allee效应的离散Leslie-Gower捕食系统存在flip和Neimark-Sacker分支的充分条件. By applying the bifurcation theory and center manifold theorem,the sufficient conditions of flip bifurcation and Neimark-Sacker bifurcation of a discrete Leslie-Gower predator-prey system are studied.
出处 《河南师范大学学报(自然科学版)》 CAS CSCD 北大核心 2012年第5期23-27,共5页 Journal of Henan Normal University(Natural Science Edition)
基金 国家自然科学基金(11126284) 河南省教育厅科学技术研究重点项目(12A110012) 河南省科技厅软科学项目(102400440050)
关键词 ALLEE效应 LESLIE-GOWER flip分支 Neimark-Sacker分支 Allee effect; Leslie-Gower; flip bifurcation; Neimark-Sacker bifurcation
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参考文献6

  • 1Gonzlez-Olivares E.Dynamical complexities in the Leslie-Gower predator-prey model as consequences of the Allee effect on prey[J].Ap-plied Mathematical Modelling,2011,35:366-381.
  • 2刘霞,刘艳伟.具有Allee效应与脉冲扩散的捕食系统的动力学分析[J].河南师范大学学报(自然科学版),2011,39(5):24-27. 被引量:1
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二级参考文献6

  • 1董玲珍,陈兰荪,孙丽华.OPTIMAL HARVESTING POLICY FOR INSHORE-OFFSHORE FISHERY MODEL WITH IMPULSIVE DIFFUSION[J].Acta Mathematica Scientia,2007,27(2):405-412. 被引量:7
  • 2Aguirre P, Gonzhlez-Olivares E, Saez E. Two limit cycles in a Leslie-Gower predator-prey model with additive Allee effect [J]. Nonlinear Anah RWA, 2009,10 : 1401-1416.
  • 3Berec L, Angulo E, Courchamp F. Multiple Allee effects and population management[J]. Trends Ecol Evol,2007,22:185-191.
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  • 5Nie L, Teng Z, Hu L, et al. Qualitative analysis of a modified Leslie-Gower and Holling-type I predator-prey model with state dependent impulsive effects [J]. Nonlinear Anal: RWA,2010,11:1364-1373.
  • 6Guo H , Song X. An impulsive predator-prey system with modified Leslie-Gower and Holling type II schemes[J]. Chaos Solitons and Fractals,2008,36 :1320-1331.

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