| 带自扩散和交错扩散的三种群Lotka-Volterra竞争模型解的一致有界性和稳定性 |
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| 引用本文： | 伏升茂,高海燕,崔尚斌.带自扩散和交错扩散的三种群Lotka-Volterra竞争模型解的一致有界性和稳定性[J].数学年刊A辑(中文版),2006(3). |
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| 作者姓名： | 伏升茂 高海燕 崔尚斌 |
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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，中山大学数学系 兰州 730070，兰州 730070，广州 510275 |
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| 基金项目： | 国家自然科学基金(No．10471157)，甘肃省自然科学基金(No．ZS031-A25-003-Z)资助的项目 |
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| 摘 要： | 应用能量估计方法和Gagliardo-Nirenberg型不等式,讨论了带自扩散和交错扩散的三种群Lotka-Volterra竞争模型解的一致有界性和整体存在性,并由Lyapunov函数证明了该模型正平衡点的全局渐近稳定性．
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| 关 键 词： | 自扩散 交错扩散 竞争 一致有界 稳定性 |
Uniform Boundedness and Stability of Solutions to the Three-Species Lotka-Volterra Competition Model with Self and Cross-Diffusion |
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| FU Shengmao GAO Haiyan CUI Shangbin.Uniform Boundedness and Stability of Solutions to the Three-Species Lotka-Volterra Competition Model with Self and Cross-Diffusion[J].Chinese Annals of Mathematics,2006(3). |
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| Authors: | FU Shengmao GAO Haiyan CUI Shangbin |
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| Abstract: | Using the energy estimates and Gagliardo-Nirenberg inequalities,the uniform boundedness and global existence of solutions to the three-species Lotka-Volterra competi- tion model with self and cross-diffusion are studied.Meanwhile,global asymptotic stability of the positive equilibrium point for the model is proved by Lyapunov function. |
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| Keywords: | Self-diffusion Cross-diffusion Competition Uniform boundedness Stability |
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