竞争扩散系统周期解的唯一性(英文) 被引量：2

Uniqueness of Periodic Solution to a Competition Diffusion System

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摘要本文讨论了一类周期竞争扩散系统 ,给出了诺依曼边界条件下周期竞争扩散系统的周期解唯一的充分条件。 In this paper a competition diffusion syst em is considered.A sufficient condition of uniqueness of periodic solution of the s ystem subject to Neumann conditions is given,and the asymptotic behavior of the solutions of the corresponding initial boundary value problem is obtained.

作者汤燕斌罗琳

机构地区华中科技大学数学系

出处《应用数学》 CSCD 北大核心 2003年第4期71-75,共5页 Mathematica Applicata

基金 SupportedbyNationalNaturalScienceFoundationofChina( 10 0 710 2 6 )

关键词竞争扩散系统周期解唯一性诺依曼边界条件渐近性偏微分方程 Competition diffusion Periodic solution Uniqueness Asym ptotic behavior

分类号 Q141 [生物学—生态学] O175.2 [理学—基础数学]

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1Ahnutd S, Lazer A C. Asymptotic behavior of solutions of periodic competition diff,sion system[J]. Nonl Anal TMA, 1989,13(3) 1263-284.
2Pao C V. Coexistence and stability of a competition diffusion system in population dynamics[J]. J Math Anal Appl, 1981,83 :54-76.
3Zhou Li, Pao C V. Asymptotic behavior of a competition-diffusion system in population dynamics[J]. Nonl Anal TMA, 1982,11: 1163- 1184.
4Amann H. Periodic solutions of semilinear parabolic equations[M]. New York:Academic Press, 1978.
5Zhou Li, Fu Yiping. Existence and stability of periodic quasisolutions in nonlinear parabolic system with discrete delay[J]. J Math Anal Appl , 2000,250:139 - 161.