| 带自扩散的N个种群的Lotka-Volterra竞争模型整体解的一致有界性 |
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| 引用本文： | 杨秀绘,文杰.带自扩散的N个种群的Lotka-Volterra竞争模型整体解的一致有界性[J].应用数学学报,2006,29(3):493-501. |
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| 作者姓名： | 杨秀绘 文杰 |
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| 作者单位： | 南京航空航天大学理学院数学系,南京,210016 |
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| 基金项目： | 南京航空航天大学校科研和校改项目 |
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| 摘 要： | 本文运用Gagliardo-Nirenberg不等式和Sobolev嵌入定理证明了带有自扩散的n个种群的Lotka-Volterra竞争模型整体解的一致有界性．
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| 关 键 词： | n个种群的Lotka-Volterra竞争模型 自扩散 一致有界 |
| 收稿时间： | 2003-11-04 |
| 修稿时间： | 2003-11-042006-03-01 |
Uniform Boundedness of Global Solutions to an N-species Lotka-Volterra Competition Model with Self-diffusions |
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| YANG XIUHUI,WEN JIE.Uniform Boundedness of Global Solutions to an N-species Lotka-Volterra Competition Model with Self-diffusions[J].Acta Mathematicae Applicatae Sinica,2006,29(3):493-501. |
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| Authors: | YANG XIUHUI WEN JIE |
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| Institution: | Department of Mathematics, College of Science, Nanjing University of Aeronautics and Astronautics, Nanjing 210016 |
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| Abstract: | This paper establishes the uniform boundedness of global solutions to an n- species Lotka-Volterra competition model with self-diffusions by applying Gagliardo-Nirenberg inequalities and Sobolev embedding theorems. |
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| Keywords: | n-species Lotka-Volterra competition model self-diffusion uniform boundedness |
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