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具有阶段结构和比率依赖的捕食系统的持续性 被引量:1

Permanence and stability predator-prey system with time delay and stage structure
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摘要 利用特征方程研究了辅助系统平衡点的稳定性,得到了具有阶段结构和比率依赖的捕食系统持续性的充分条件。 The stability of the equil-ibrium was studied by analyzing the associated characteristic equation. A group conditions to guarantee local stability of a two-species ratio-dependent predator-prey system with time delay and stage structure were given.
作者 刘祥森
机构地区 中北大学数学系
出处 《山东理工大学学报(自然科学版)》 CAS 2012年第4期65-68,共4页 Journal of Shandong University of Technology:Natural Science Edition
关键词 阶段结构 持续性 稳定性 stage structure permanence stability
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参考文献7

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同被引文献5

  • 1Xu R,Ma Z E. Stability and Hopf bifurcation in a ratio-de-pendent predator-prey system with stage structure[ J]. Cha-os ,Solitons and Fractals,2008,38(3) :669 -684.
  • 2Xu R, Global stability and Hopf bifurcation of a predator-prey model with stage structure and delayed predator re-sponse [J]. Nonlinear Dyn,2012,67(2) ; 1683 - 1693.
  • 3Li F, Li H W. Hopf bifurcation of a predator-prey modelwith time delay and stage structure for the prey [ J ]. Math.Comput. Model,2012,55 (3/4) :672 -679.
  • 4Hassard B D,Kazarinoff N D,Wan Y H. Theory and Ap-plications of Hopf Bifurcation [ M ]. Cambridge: CambridgeUniversity Press, 1981.
  • 5何其慧.捕食者具有阶段结构的食饵-捕食系统的研究[J].合肥工业大学学报(自然科学版),2009,32(4):546-549. 被引量:2

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