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具有庇护所与收获效应的Rosenzweig型捕食食饵模型

Study on Rosenzweig Predator-prey System with Prey Refuges and Harvesting
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摘要 研究了同时具有庇护所与收获效应的Rosenzweig型捕食食饵模型的动力学行为,讨论了模型平衡点的存在性、局部稳定性、全局稳定性及极限环的存在性,最后应用Pontryagin最大值原理给出了模型的最优捕获策略. The ting in their sp the global stab dynamic behaviors of a Rosenzweig ecies are investigated in this paper. predator-prey system with refuges and harves ility and the existence of limit cycle The existence of equilibrium, local stability, are discussed. The optimal harvest policy is given by using Pontryagin＇s maximal principle.
作者 朱婕 栗永安
机构地区 兰州交通大学数理与软件工程学院
出处 《淮海工学院学报（自然科学版）》 CAS 2013年第3期4-7,共4页 Journal of Huaihai Institute of Technology:Natural Sciences Edition
关键词 捕食食饵模型 R型功能反应 庇护所效应 收获效应 predator-prey system l Rosenzweig functional response~ prey refuge~ harvesting
分类号 O175.14 [理学—基础数学]
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参考文献9

  • 1CHEN Fengde. Stability analysis of a prey-predator model with Holling type III response function incorpo- rating a prey refuge[J]. Applied Mathematics and Computation, 2006, 182: 672-683.
  • 2CHEN Fengde. Global analysis of a harvested preda- tor-prey model incorporating a constant prey refuge [J]. International Journal Biomath, 2010, 3(2): 205- 223.
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  • 7王海龙.具有庇护所与收获效应的Holling型捕食者食饵模型研究[D].兰州:兰州大学,2010.
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二级参考文献7

  • 1XIAO Dongmei,Ll Wenxiao HAN Maoan. Dynamics in a ratio-dependent predator-prey model with predator harvesting[J]. Journal of Mathematical Analysis and Application, 2006,324 : 14-29.
  • 2XIAO Min, CAO Jinde. Hopf bifurcation and non-hyperbolic equilibrium in a ratio-dependent predator-prey model with linear harvesting rate: analysis and computation[J]. Mathematical and Computer Modelling, 2009,50:360-379.
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共引文献14

淮海工学院学报（自然科学版）
2013年 第3期

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