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A Class of Singularly Perturbed Problems for Nonlinear Two-Species Competitive Reaction-Diffusion System
作者姓名:王庚
作者单位:Department of Applied Mathematics, Nanjing University of Finance and Economics, Nanjing 210003, China
基金项目:The Natural Science Foundation of China (No. 70471071 ) and the project of Ministry of Education ( No. 1283B01071)
摘    要:Wang1-4]studiedthesingularlyperturbedprob lemsofellipticequationsandnonlinearequations,Mo5]discussedaclassofnonlinearpredator preysin gularlyperturbedRobinproblemsforreaction diffu sionsystems.Thesingularlyperturbedproblemfor nonlineartwo speciescompeti…

关 键 词:非线形技术  物种扩散  噪音  竞争机制  生物环境
文章编号:1005-2429(2006)01-0094-03
收稿时间:2005-06-13

A Class of Singularly Perturbed Problems for Nonlinear Two-Species Competitive Reaction-Diffusion System
Wang Geng.A Class of Singularly Perturbed Problems for Nonlinear Two-Species Competitive Reaction-Diffusion System[J].Journal of Southwest Jiaotong University,2006,14(1):94-96.
Authors:Wang Geng
Abstract:A class of nonlinear two-species competitive singularly perturbed initial-boundary-value problems for reaction-diffusion systems are studied. Under suitable assumptions, by using the stretched variable, the formal asymptotic expansion for the problems is constructed. The uniform validity of the solution for initial-boundary-value problems is obtained by using the theory of differential inequalities.
Keywords:Nonlinearity  Two species  Competitive system  Reaction diffusion  Singular perturbation
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