| 竞争-竞争-互惠交错扩散模型的整体解 |
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| 引用本文： | 伏升茂,高海燕,崔尚斌.竞争-竞争-互惠交错扩散模型的整体解[J].数学学报,2008,51(1):153-164. |
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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： | [1]西北师范大学数学与信息科学学院,兰州730070 [2]兰州商学院统计学院,兰州730020 [3]中山大学数学系,广州510275 |
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| 基金项目： | 国家自然科学基金（10471157）;甘肃省自然科学基金（3ZS061-A25-015）;甘肃省教育厅科研项目（0601-21）;西北师范大学创新工程项目（NWNU-KJCXGC-03-39） |
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| 摘 要： | 应用能量估计方法和bootstrap技巧证明了竞争-竞争-互惠交错扩散模型在空间维数小于6时古典解的整体存在性.当反应函数的系数满足一定条件时,应用Lyapunov函数获得了该模型解的收敛性.
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| 关 键 词： | 竞争-竞争-互惠系统 交错扩散 整体解 收敛性 |
| 文章编号： | 0583-1431（2008）01-0153-12 |
| 收稿时间： | 2006-02-07 |
| 修稿时间： | 2007-07-25 |
On Global Solutions for the Competitor-Competitor-Mutualist Model with Cross-Diffusion |
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| Sheng Mao FU,Hai Yah GAO, Shang Bin CUI.On Global Solutions for the Competitor-Competitor-Mutualist Model with Cross-Diffusion[J].Acta Mathematica Sinica,2008,51(1):153-164. |
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| Authors: | Sheng Mao FU Hai Yah GAO Shang Bin CUI |
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| Institution: | Sheng Mao FU College of Mathematics and Information Science,Northwest Normal University,Lanzhou 730070,P.R.China Hai Yan GAO College of Statistics,Lanzhou Commercial College,Lanzhou 730020,P.R.China Shang Bin CUI Department of Mathematics,Zhongshan University,Guangzhou 510275,P.R.China |
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| Abstract: | Using the energy estimates and bootstrap arguments, the global existence of classical solutions for the competitor-competitor-mutualist model with cross-diffusion is proved when the space dimensions is at most 5. Under certain conditions of the coefficients of the reaction functions, the convergence of the solutions is established for the system by Lyapunov functions. |
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| Keywords: | competitor-competitor-mutualist system cross-diffusion global solutions convergence |
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