Traveling wave front for a two-component lattice dynamical system arising in competition models

機構典藏 > College of Sciences > Graduate Institute & Department of Mathematics > Journal Article > Item 987654321/76895

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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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