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    题名: Traveling wave front for a two-component lattice dynamical system arising in competition models
    作者: Guo, Jong-Shenq;Wu, Chang-Hong
    贡献者: 淡江大學數學學系
    关键词: Traveling front;Lattice dynamical system;Competition model;Monostable;Minimal wave speed;Wave profile
    日期: 2012-04
    上传时间: 2012-05-22 17:01:26 (UTC+8)
    出版者: Maryland Heights: Academic Press
    摘要: We study traveling front solutions for a two-component system on a one-dimensional lattice. This system arises in the study of the competition between two species with diffusion (or migration), if we divide the habitat into discrete regions or niches. We consider the case when the nonlinear source terms are of Lotka–Volterra type and of monostable case. We first show that there is a positive constant (the minimal wave speed) such that a traveling front exists if and only if its speed is above this minimal wave speed. Then we show that any wave profile is strictly monotone. Moreover, under some conditions, we show that the wave profile is unique (up to translations) for a given wave speed. Finally, we characterize the minimal wave speed by the parameters in the system.
    關聯: Journal of Differential Equations 252(8), pp.4357-4391
    DOI: 10.1016/j.jde.2012.01.009
    显示于类别:[數學學系暨研究所] 期刊論文


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