journal6 ›› 2005, Vol. 26 ›› Issue (3): 3-7.

• 数学 • 上一篇    下一篇

3种群捕食-被捕食反应扩散系统摄动奇Robin问题

  

  1. (南京财经大学,江苏 南京 210003)
  • 出版日期:2005-07-15 发布日期:2012-09-22

Three Species Predator-Prey Singularly Perturbed Robin Problems for Reaction Diffusion System

  1. (Nanjing University of Finance and Economics,Nanjing 210003,China)
  • Online:2005-07-15 Published:2012-09-22
  • About author:WANG Geng(1960-),male,was born in Tongcheng City,Anhui Province,professor of Nanjing University of Finance and Economics;research area is nonlinear differential equation.
  • Supported by:

    The National Natural Science Foundation of China(70471071);the Ministry of Education of China(1283B01071)

摘要:研究了一类非线性3种群捕食-被捕食反应扩散系统奇摄动Robin问题.在适当的假设下,利用伸长变量和微分不等式理论,对此问题解的存在性及渐近性态作了较深入的讨论,得到了问题题的存在性和一致有效性.

关键词: 非线性, 群捕食-被捕食系统, 反应扩散, 奇摄动, Robin问题

Abstract: The nonlinear three species predator-prey singularly perturbed Robin initial boundary value problems for reaction diffusion systems are considered.Under suitable conditions,using the stretched variable and theory of differential inequalities,the existence and asymptotic behavior of solution for initial boundary value problems are studied and uniform validity of the solution is obtained.

Key words: nonlinear, predator-prey model, reaction diffusion, singular perturbation, Robin problem

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