| 一类具有保护区域的Leslie-Gower捕食-食饵模型的分歧分析 |
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| 引用本文： | 姜启芳,崔仁浩,刘萍.一类具有保护区域的Leslie-Gower捕食-食饵模型的分歧分析[J].纯粹数学与应用数学,2015(2):136-145. |
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| 作者姓名： | 姜启芳 崔仁浩 刘萍 |
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| 作者单位： | 哈尔滨师范大学数学科学学院,黑龙江 哈尔滨,150025 |
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| 基金项目： | 国家自然科学基金，黑龙江省留学归国人员科学基金 |
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| 摘 要： | 研究了一类Neumann边界条件下带有保护区域的Leslie-Gower捕食-食饵模型,分析稳态系统从半平凡解处发生分歧的条件,得到了分歧方向及分歧值的唯一性,得到了在确定参数范围内,从半平凡解出发的分支解曲线的稳定性.
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| 关 键 词： | 保护区域 捕食-食饵模型 分歧 唯一性 稳定性 |
Bifurcation analysis in a class of Leslie-Gower predator-prey model with a protection zone |
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| Jiang Qifang,Cui Renhao,Liu Ping.Bifurcation analysis in a class of Leslie-Gower predator-prey model with a protection zone[J].Pure and Applied Mathematics,2015(2):136-145. |
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| Authors: | Jiang Qifang Cui Renhao Liu Ping |
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| Institution: | Jiang Qifang;Cui Renhao;Liu Ping;School of Mathematical Science, Harbin Normal University; |
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| Abstract: | In this paper, we consider a class of Leslie-Gower predator-prey system with protection zone for the prey under Neumann boundary condition. The bifurcation condition and direction from the semi-trivial solution are analyzed and the uniqueness of the bifurcation value is obtained. Moreover, we show the stability of the positive solutions bifurcating from the semi-trivial solution under certain conditions. |
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| Keywords: | protection zone predator-prey model bifurcation uniqueness stability |
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