| Beddington-DeAngelis型捕食-食饵动力系统的正平衡点及其稳定性 |
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| 引用本文： | 肖海滨.Beddington-DeAngelis型捕食-食饵动力系统的正平衡点及其稳定性[J].高校应用数学学报(英文版),2006,21(4). |
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| 作者姓名： | 肖海滨 |
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| 作者单位： | Xiao Haibin Department of Mathematics，Ningbo University，Zhejiang 315211，China; Department of Mathematics，Nanjing University，Jiangsu 210093，China. |
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| 基金项目： | 国家自然科学基金
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教育部高校骨干教师资助计划 |
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| 摘 要： | A class of Beddington-DeAngelis' type predator-prey dynamic system with prey and predator both having linear density restriction is considered. By using the qualitative methods of ODE, the existence and uniqueness of positive equilibrium and its global asymptotic stability are analyzed. The direct criterions for local stability of positive equilibrium and existence of limit cycle are also established when inference parameter of predator is small.
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POSITIVE EQUILIBRIUM AND ITS STABILITY OF THE BEDDINGTON-DEANGELIS'TYPE PREDATOR-PREY DYNAMICAL SYSTEM |
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| Xiao Haibin.POSITIVE EQUILIBRIUM AND ITS STABILITY OF THE BEDDINGTON-DEANGELIS''''TYPE PREDATOR-PREY DYNAMICAL SYSTEM[J].Applied Mathematics A Journal of Chinese Universities,2006,21(4). |
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| Authors: | Xiao Haibin |
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| Abstract: | A class of Beddington-DeAngelis' type predator-prey dynamic system with prey and predator both having linear density restriction is considered. By using the qualitative methods of ODE, the existence and uniqueness of positive equilibrium and its global asymptotic stability are analyzed. The direct criterions for local stability of positive equilibrium and existence of limit cycle are also established when inference parameter of predator is small. |
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| Keywords: | density restriction Beddington-DeAngelis' type functional response global stability limit cycle |
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