Traveling wave solutions of a competitive recursion
type: Item
instance of: scholarly article
title: Traveling wave solutions of a competitive recursion
zbMATH Open document ID: 1258.37069
author: Guo Lin
author: Wan-Tong Li
published in: Discrete and Continuous Dynamical Systems. Series B
publication date: 2012-03-19T00:00:00Z
review text: The authors prove existence and a certain stability of travelling wave solutions to a so-called competitive recursion model, which is an integro-difference equation. The travelling waves found here may not be monotone, which poses additional technical constraints and does not allow to apply previous results in this field. For the existence, a cross iteration scheme using super- and subsolutions is employed. The travelling waves are invasions of two competitive invaders. Since the Cauchy problem is delicate, stability refers to a perturbation of a travelling wave compared with two travelling waves of the same wavespeed.
Mathematics Subject Classification ID: 37K45
Mathematics Subject Classification ID: 39A30
Mathematics Subject Classification ID: 92D25
zbMATH DE Number: 6015379
zbMATH Keywords: comparison principle
zbMATH Keywords: stability
zbMATH Keywords: travelling wave
zbMATH Keywords: invasion
reviewed by: Jens D. M. Rademacher
MaRDI profile type: Publication
full work available at URL: dcdsb.2012.17.173
OpenAlex ID: W2319505014
DOI: 10.3934/DCDSB.2012.17.173
description: scientific article; zbMATH DE number 6015379