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HollingⅢ型捕食者-食饵系统的动力学性质 被引量：3

Dynamical Behaviors in Predator-Prey Model of Holling Ⅲ
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摘要 研究具有HollingⅢ型功能反应函数的捕食者-食饵系统的动力学性质.得到了平衡点局部稳定和分支的充分条件,考虑了Hopf型周期解的存在性.并研究了在适当参数条件下,多重Hopf分支点的存在性. In this paper, the dynamical behaviors of a predator - prey model are investigated. The conditions of existence, local stability and bifurcation for the steady - states are obtained and the periodic solution of the Hopf type is put forward. The existence of multiple Hopf bifurcation point is also examined with suitable values of parameters.
作者 马凤兴 林怡平
机构地区 昆明理工大学理学院
出处 《昆明理工大学学报（理工版）》 2007年第6期103-107,124,共6页 Journal of Kunming University of Science and Technology(Natural Science Edition)
关键词 局部稳定性 HOPF分支 功能性反应 食饵-捕食者 local stability Hopf bifurcation functional response prey - predator model
分类号 O193 [理学—基础数学]
  • 相关文献

参考文献12

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二级参考文献3

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同被引文献20

  • 1丁孝全,程述汉.一类具有时滞的比率依赖型捕食者-食饵系统周期正解的存在性(英文)[J].纯粹数学与应用数学,2006,22(1):111-117. 被引量：1
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  • 3Wiggins S. Introduction to Applied Nonlinear Dynamical System and Chaos[M].New York:Springer,1991.
  • 4Hale J K. Theory of Functional Diffential Equations [M]. New York:Springer-Verlag, 1997.
  • 5BERRYMAN A A. The origins and evolution of predator- prey theory [ J ]. Ecology, 1997,'73 : 1530 -1535.
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  • 7LESLIE P H. Some further notes on the use of mat rices in population mathmatics [ J ]. Biometrika, 1948, 35: 213- 245.
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  • 9HOLLING C S. The functional response of predators to prey density and its role in mimicry and population regu- lation[J]. Mem Ent Soc Can, 1965,46:1-60.
  • 10LESLIE P H, GOWER J C. The properties of a stochastic model for the Predator-Prey type of interaction between two species [ J ]. Biometrika, 1960,47 : 219-34.

引证文献3

二级引证文献6

昆明理工大学学报（理工版）
2007年 第6期

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