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    Please use this identifier to cite or link to this item: http://tkuir.lib.tku.edu.tw:8080/dspace/handle/987654321/76895

    Title: Traveling wave front for a two-component lattice dynamical system arising in competition models
    Authors: Guo, Jong-Shenq;Wu, Chang-Hong
    Contributors: 淡江大學數學學系
    Keywords: Traveling front;Lattice dynamical system;Competition model;Monostable;Minimal wave speed;Wave profile
    Date: 2012-04
    Issue Date: 2012-05-22 17:01:26 (UTC+8)
    Publisher: Maryland Heights: Academic Press
    Abstract: 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.
    Relation: Journal of Differential Equations 252(8), pp.4357-4391
    DOI: 10.1016/j.jde.2012.01.009
    Appears in Collections:[Graduate Institute & Department of Mathematics] Journal Article

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