| 非线性两种群竞争反应扩散系统的渐近分析 |
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| 引用本文： | 王庚.非线性两种群竞争反应扩散系统的渐近分析[J].西南交通大学学报,2006,41(2):253-255,263. |
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| 作者姓名： | 王庚 |
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| 作者单位： | 南京财经大学应用数学系,江苏,南京,210003 |
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| 基金项目： | 国家自然科学基金资助项目（70471071）;教育部项目（1283801071） |
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| 摘 要： | 利用微分方程的近代方法研究了生物数学中一类非线性两种群竞争模型的反应扩散系统奇摄动问题．假定其退化问题有正解，以及系统中相应的函数连续，利用微分不等式理论，讨论了初始边值问题的解的存在性和渐近性态，并得到了具有一致有效的解的估计．
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| 关 键 词： | 非线性 两种群竞争系统 反应扩散 奇摄动 |
| 文章编号： | 0258-2724（2006）02-0253-04. |
| 收稿时间： | 2005-06-13 |
| 修稿时间： | 2005-06-13 |
Asymptotic Analysis of Nonlinear Two Species Competition in a Reaction-Diffusion System |
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| WANG Geng.Asymptotic Analysis of Nonlinear Two Species Competition in a Reaction-Diffusion System[J].Journal of Southwest Jiaotong University,2006,41(2):253-255,263. |
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| Authors: | WANG Geng |
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| Institution: | Dept. of Appl. Mathematics, Nanjing University of Finance and Economics, Nanjing 210003, China |
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| Abstract: | A class of nonlinear two species competition singularly perturbed initial-boundary-value problems in a reaction-diffusion system in biomathematics was studies using the modern method of differential equation. The existence and asymptotic behavior of the solution for the initial-boundary-value problem were discussed using the theory of differential inequalities under the assumption that the degenerate problem has a positive solution and the functions in the system are continuous. The uniformly efficient estimate of the solution for the system was obtained. |
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| Keywords: | nonlinear two species competitive system reaction-diffusion singular perturbation |
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