| 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. 竞争-竞争-互惠交错扩散模型的整体解[J]. 工程数学学报, 2007, 24(3): 481-486 |
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| 作者姓名： | 伏升茂 高海燕 |
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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;兰州商学院统计学院,兰卅,730020 |
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| 基金项目： | 国家自然科学基金
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甘肃省自然科学基金
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甘肃省教育厅科研项目
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西北师范大学校科研和教改项目 |
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| 摘 要： | 竞争-竞争-互惠交错扩散模型是一类强耦合的抛物型方程组,关于该模型时变解的整体存在性的研究结果很少,特别是在高维空间中。本文应用能量估计方法,极值原理和抛物型方程的正则性理论证明了:对竞争种群含弱交错扩散项的竞争-竞争-互惠交错扩散模型,它在任意维空间中存在古典的整体解。
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| 关 键 词： | 竞争-竞争-互惠模型 整体解 高维空间 |
| 文章编号： | 1005-3085(2007)03-0481-06 |
| 修稿时间： | 2005-05-23 |
The Global Solution for the Competitor-Competitor-Mutualist Model with Cross-Diffusion |
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| FU Sheng-mao,GAO Hai-yan. The Global Solution for the Competitor-Competitor-Mutualist Model with Cross-Diffusion[J]. Chinese Journal of Engineering Mathematics, 2007, 24(3): 481-486 |
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| Authors: | FU Sheng-mao GAO Hai-yan |
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| Affiliation: | 1. College of Mathematics and Information Science, Northwest Normal University, Lanzhou 730070; 2. College of Statistics, Lanzhou Commercial College, Lanzhou 730020 |
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| Abstract: | The competitor-competitor-mutualist model with cross-diffusion is a strongly-coupled parabolic system.There are few results about the global existence of time-dependent solutions of this model,especially in higher dimensions space.In this paper,by using the energy estimate method, the maximum principle and the regularity of parabolic equations,we prove the global existence of classical solutions in any dimensional space for the competitor-competitor-mutualist model with weak cross-diffusion in the competitive species. |
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| Keywords: | competitor-competitor-mutualist model global solutions higher space dimensions |
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