| 变系数捕食者-食饵模型整体解的存在性和稳定性 |
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| 引用本文： | 杨芳,伏升茂.变系数捕食者-食饵模型整体解的存在性和稳定性[J].西北师范大学学报,2006,42(4):11-17. |
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| 作者姓名： | 杨芳 伏升茂 |
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| 作者单位： | 西北师范大学数学与信息科学学院，西北师范大学数学与信息科学学院 甘肃兰州730070，宝鸡文理学院数学系，陕西宝鸡721007，甘肃兰州730070 |
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| 基金项目： | 国家自然科学基金;甘肃省自然科学基金 |
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| 摘 要： | 应用能量估计方法证明了带自扩散和交错扩散的两种群变系数捕食者-食饵模型整体解的存在唯一性和一致有界性.通过构造Lyapunov函数给出了该模型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 整体解 一致有界性 稳定性 |
| 文章编号： | 1001-988X（2006）04-0011-07 |
| 收稿时间： | 2006-03-06 |
| 修稿时间： | 2006-05-11 |
Existence and stability of global solutions for a prey-predator model with varied coefficients |
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| YANG Fang,FU Sheng-mao.Existence and stability of global solutions for a prey-predator model with varied coefficients[J].Journal of Northwest Normal University Natural Science (Bimonthly),2006,42(4):11-17. |
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| Authors: | YANG Fang FU Sheng-mao |
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| Institution: | 1. College of Mathematics and Information Science, Northwest Normal University, Lanzhou 730070, Gansu, China;2. Department of Mathematics, Baoji College of Arts and Sciences, Baoji 721007, Shaanxi, China |
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| Abstract: | The method of energy estimate is employed to prove the existence,uniqueness and uniform boundedness of global solutions for a two-species prey-predator model with self-and cross-diffusion.By constructing Lyapunov function,a sufficient condition of global asymptotic stability of the positive equilibrium point for this model is given. |
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| Keywords: | self-diffusion cross-diffusion global solutions uniform boundedness stability |
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