华东师范大学学报(自然科学版) ›› 2006, Vol. 2006 ›› Issue (5): 43-46.

• 数学 统计学 • 上一篇    下一篇

一类两种群竞争非线性反应扩散系统奇摄动Robin问题

王 庚   

  1. 南京财经大学 应用数学系, 江苏 南京 210003
  • 收稿日期:2005-05-27 修回日期:2005-09-26 发布日期:2006-09-25
  • 通讯作者: 王 庚

Class of the Nonlinear Two Species Competitive Singularly Perturbed Robin Problems for Reaction Diffusion Systems (Chinese)

WANG Geng   

  1. Department of Applied Mathematics, Nanjing University of Finance and Economics, Nanjing 21003, China
  • Received:2005-05-27 Revised:2005-09-26 Published:2006-09-25
  • Contact: WANG Geng

摘要： 利用微分不等式理论,获得了一类非线性两种群竞争反应扩散系统奇摄动Robin问题在适当的条件下的渐近性态, 并讨论了它的生物学意义.

关键词: 非线性, 两种群竞争系统, 反应扩散, 奇摄动, Robin问题, 非线性, 两种群竞争系统, 反应扩散, 奇摄动, Robin问题

Abstract: A class of the nonlinear two species competitive singularly perturbed Robin initial boundary value problems for reaction diffusion systems were considered. Under suitable conditions, using theory of differential inequalities the existence and asymptotic behavior of solution for initial boundary value problems were studied.

Key words: two species competitive system, reaction diffusion, singular perturbation, Robin problem, nonlinear, two species competitive system, reaction diffusion, singular perturbation, Robin problem

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