| 带Beddington-DeAngelis功能反应项的捕食者-食饵模型整体解的存在性和稳定性 |
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| 引用本文： | 许生虎,李相锋.带Beddington-DeAngelis功能反应项的捕食者-食饵模型整体解的存在性和稳定性[J].吉林大学学报(理学版),2010,48(3):375-383. |
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| 作者姓名： | 许生虎 李相锋 |
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| 作者单位： | 陇东学院 数学系, 甘肃 庆阳 745000 |
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| 基金项目： | 甘肃省高等学校研究生导师科研项目，陇东学院科研项目，陇东学院青年科技创新项目 |
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| 摘 要： | 应用能量估计方法证明了带Beddington-DeAngelis功能反应项的捕食者-食饵交错扩散模型整体解的存在唯一性和一致有界性,并通过构造Lyapunov函数给出了该模型唯一正平衡点全局渐近稳定的充分条件.
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| 关 键 词： | 自扩散 交错扩散 Beddington-DeAngelis功能反应函数 整体解 稳定性 |
| 收稿时间： | 2009-05-25 |
Existence and Stability of Global Solutions for a Prey-Predator Model with Beddington-DeAngelis Functional Response |
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| XU Sheng-hu,LI Xiang-feng.Existence and Stability of Global Solutions for a Prey-Predator Model with Beddington-DeAngelis Functional Response[J].Journal of Jilin University: Sci Ed,2010,48(3):375-383. |
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| Authors: | XU Sheng-hu LI Xiang-feng |
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| Institution: | Department of Mathematics, Longdong University, Qingyang 745000, Gansu Province, China |
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| Abstract: | With the help of the energy estimate method, the existence, uniqueness and uniform boundedness of global solutions for a cross diffusion prey predator model with Beddington DeAngelis functional response were proved. The sufficient condition of global asymptotic stability of the unique positive equilibrium point for this model was given by constructing Lyapunov function. |
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| Keywords: | self diffusion cross diffusion Beddington DeAngelis functional response global solutions stability |
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