| 捕食被捕食三种群系统平衡点稳定性的分析 |
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| 引用本文： | 林琳,雒志学.捕食被捕食三种群系统平衡点稳定性的分析[J].兰州铁道学院学报,2007,26(1):142-145. |
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| 作者姓名： | 林琳 雒志学 |
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| 作者单位： | 兰州交通大学,数理与软件工程学院,甘肃,兰州,730070;兰州交通大学,数理与软件工程学院,甘肃,兰州,730070 |
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| 基金项目： | 国家自然科学基金，兰州交通大学'青蓝'人才工程基金 |
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| 摘 要： | 根据3种群间的相互作用,建立了3个不同的具有捕食被捕食关系的数学模型.利用微分方程稳定性理论研究了3种群模型边界平衡点的稳定性,同时分别采用3种不同方法获得了3模型正平衡点的稳定的条件.
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| 关 键 词： | 食饵-捕食者 平衡点 稳定性 |
| 文章编号： | 1001-4373(2007)01-0142-04 |
| 修稿时间： | 2006-09-13 |
Analysis of Stability for Predator-prey Three-species System |
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| Lin Lin,Luo Zhixue.Analysis of Stability for Predator-prey Three-species System[J].Journal of Lanzhou Railway University,2007,26(1):142-145. |
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| Authors: | Lin Lin Luo Zhixue |
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| Institution: | School of Mathematics,Physics and Software Engineering, Lanzhou Jiaotong University, Lanzhou 730070,China |
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| Abstract: | In this paper,three different predator-prey models are established according to the interaction of three species.The stabilities of the boundary equilibrium points of predator-prey three-species models are discussed by the stability theory of ordinary differential equation.Moreover,some conditions of the stability of the models' positive equilibrium points are obtained by three different methods. |
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| Keywords: | predator-prey equilibrium point stability |
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