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具有食饵选择的食物链模型的定性分析

李娅 胡含嫣 林君仪

李娅, 胡含嫣, 林君仪等 . 具有食饵选择的食物链模型的定性分析[J]. 北京航空航天大学学报, 2016, 42(10): 2075-2081. doi: 10.13700/j.bh.1001-5965.2015.0642
引用本文: 李娅, 胡含嫣, 林君仪等 . 具有食饵选择的食物链模型的定性分析[J]. 北京航空航天大学学报, 2016, 42(10): 2075-2081. doi: 10.13700/j.bh.1001-5965.2015.0642
LI Ya, HU Hanyan, LIN Junyiet al. Qualitative analysis of a food chain model with alternative prey[J]. Journal of Beijing University of Aeronautics and Astronautics, 2016, 42(10): 2075-2081. doi: 10.13700/j.bh.1001-5965.2015.0642(in Chinese)
Citation: LI Ya, HU Hanyan, LIN Junyiet al. Qualitative analysis of a food chain model with alternative prey[J]. Journal of Beijing University of Aeronautics and Astronautics, 2016, 42(10): 2075-2081. doi: 10.13700/j.bh.1001-5965.2015.0642(in Chinese)

具有食饵选择的食物链模型的定性分析

doi: 10.13700/j.bh.1001-5965.2015.0642
基金项目: 中央高校基本科研业务费专项资金(30361201,30458701)
详细信息
    作者简介:

    李娅,女,博士,讲师。主要研究方向:生物数学和动力系统。Tel.:15801211607,E-mail:yli@buaa.edu.cn

    通讯作者:

    李娅,Tel.:15801211607,E-mail:yli@buaa.edu.cn

  • 中图分类号: O29;O193

Qualitative analysis of a food chain model with alternative prey

Funds: the Fundamental Research Funds for the Central Universities (30361201,30458701)
  • 摘要: 生态学研究发现,多种食饵选择对捕食者-食饵系统的稳定性、持久性等方面有着重要的影响。处于食物链中间层的种群,既是顶层捕食者的食饵,同时又是捕食者,因此中间捕食者的种群数量变化,对整个生态系统有着不可忽略的影响。假设中间捕食者具有其他可供选择的食饵,建立了一个由顶级捕食者、中间捕食者和食饵所构成的三维食物链系统,并对此系统展开动力学分析,推导出系统各个平衡点的存在性和稳定性条件。对Hopf分支的存在性条件进行了深入的分析,并以食饵选择参数为分支参数,对可能出现的Hopf分支情况进行了数值模拟。结合理论和数值结果,分析食饵选择性对食物链系统的稳定性产生的影响。

     

  • [1] FREEDMAN H I,WALTMAN P.Mathematical analysis of some three-species food chain models[J].Mathematical Biosciences,1977,33(3):257-276.
    [2] HASTINGS A,POWELL T.Chaos in a three-species food chain[J].Ecology,1991,72(3):896-903.
    [3] HSU S,HWANG T,KUANG Y.A ratio-dependent food chain model and its applications to biological control[J].Mathematical Biosciences,2003,181(1):55-83.
    [4] GINOUX J M,ROSSETTO B,JAMET J L.Chaos in a three-dimensional Volterra-Gause model of predator-prey type[J].International Journal of Bifurcation and Chaos,2005,15(5):1689-1708.
    [5] PATHAK S,MAITI A,SAMANTA G P.Rich dynamics of a food chain model with Hassell-Varley type functional responses[J].Applied Mathematics and Computation,2009,208(2):303-317.
    [6] GEORGE A K,KOOI P I,BOER M P.Ecological consequences of global bifurcations in some food chain models[J].Mathematical Biosciences,2010,226(2):120-133.
    [7] STRAUSS S Y.Indirect effects in community ecology: Their definition,study and importance[J].Trends in Ecological Evolution,1991,6(7): 206-210.
    [8] SAHOO B,PORIA S.Diseased prey predator model with general Holling type interactions[J].Applied Mathematics and Computation,2014,226(1):83-100.
    [9] HUXEL G R,MCCANN K.Food web stability: The influence of trophic flows across habitats[J].American Natualist,1998,152(3):460-469.
    [10] HUXEL G R,MCCANN K,POLIS G A.Effects of partitioning allochthonous and autochthonous resources on food web stability[J].Ecological Research,2002,17(4):419-432.
    [11] SRINIVASU P D N,PRASAD B S R V,VENKATESULU M.Biological control through provision of additional food to predators: A theoretical study[J].Theoretical Population Biology,2007,72(1):111-120.
    [12] SAHOO B.Effects of additional foods to predators on nutrient-consumer-predator food chain model[J/OL].ISRN Biomathematics,2012.http://dx.doi.org/10.5402/2012/796783.
    [13] SAHOO B.Global stability of predator-prey system with alternative prey[J/OL].ISRN biotechnology,2013.http://dx.doi.org/10.5402/2013/898039.
    [14] SAHOO B,PORIA S.Disease control in a food chain model supplying alternative food[J].Applied Mathematical Modelling,2013,37(8):5653-5663.
    [15] SAHOO B,PORIA S.The chaos and control of a food chain model supplying additional food to top-predator[J].Chaos Solitons & Fractals,2014,58(1):52-64.
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出版历程
  • 收稿日期:  2015-09-28
  • 刊出日期:  2016-10-20

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