| 一类三种群捕食者-食饵扩散模型的稳定性 |
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| 引用本文： | 张晓朋.一类三种群捕食者-食饵扩散模型的稳定性[J].重庆工学院学报,2008,22(6). |
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| 作者姓名： | 张晓朋 |
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| 作者单位： | 西北师范大学数学与信息科学学院 兰州730070 |
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| 摘 要： | 讨论一个捕食者,2个食饵模型解的稳定性.应用线性化方法和Lyapunov函数方法分别给出了该模型正平衡点的局部和全局渐近稳定的充分条件.
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| 关 键 词： | 反应扩散 捕食者-食饵模型 全局稳定性 |
Stability of a Three-Species Predator-prey Diffusive Model |
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| ZHANG Xiao-peng.Stability of a Three-Species Predator-prey Diffusive Model[J].Journal of Chongqing Institute of Technology,2008,22(6). |
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| Authors: | ZHANG Xiao-peng |
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| Abstract: | This paper discusses the stability of the solution to a onepredator two-prey model,and presents a sufficient condition for the local asymptotical stability of the model positive equilibrium point by linearization and a sufficient condition for the global asymptotical stability of the model positive equilibrium point by a Lyapunov function. |
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| Keywords: | reaction-diffusion predator-prey model global stability |
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