The existence of traveling wave solutions for a bistable three-component lattice dynamical system

機構典藏 > College of Sciences > Graduate Institute & Department of Mathematics > Journal Article > Item 987654321/107130

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Title:	The existence of traveling wave solutions for a bistable three-component lattice dynamical system
Authors:	Guo, Jong-Shenq;Wu, Chin-Chin
Keywords:	Lattice dynamical system;Bistable;Traveling wave;Wave speed;Wave profile
Date:	2016-01-15
Issue Date:	2016-08-17 09:11:10 (UTC+8)
Publisher:	Academic Press
Abstract:	We study the traveling wave solutions for a three-component lattice dynamical system. This problem arises in the modeling of three species competing two food resources in an environment with migration in which the habitat is one-dimensional and is divided into countable niches. We are concerned with the case when two species have different preferences of food and the third species has both preferences of food. To understand which species win the competition under the bistable condition, the existence of a traveling wave solution for this lattice dynamical system is proven.
Relation:	Journal of Differential Equations 260(2), pp.1445-1455
DOI:	10.1016/j.jde.2015.09.036
Appears in Collections:	[Graduate Institute & Department of Mathematics] Journal Article

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