Comparison and convergence to equilibrium in a nonlocal delayed reaction-diffusion model on an infinite domain
type: Item
instance of: scholarly article
title: Comparison and convergence to equilibrium in a nonlocal delayed reaction-diffusion model on an infinite domain
zbMATH Open document ID: 1091.35107
published in: Discrete and Continuous Dynamical Systems. Series B
publication date: 2006-01-26T00:00:00Z
review text: The authors study the comparison and the convergence of solutions to a positive equilibrium for some reaction diffusion model arising in population dynamics. The model is considered in infinite domain. First, the authors give a comparison principle of solutions with respect to their initial values. Sufficient condition are given in order to have the global convergence of solutions to the positive equilibrium.
reviewed by: Khalil Ezzinbi
Mathematics Subject Classification ID: 35R10
Mathematics Subject Classification ID: 35K57
Mathematics Subject Classification ID: 92D25
Mathematics Subject Classification ID: 30C80
zbMATH DE Number: 5001892
zbMATH Keywords: nonlocal reaction diffusion model
zbMATH Keywords: time delay
zbMATH Keywords: comparison
zbMATH Keywords: infinite domain
author: Y. N. Kyrychko
author: Stephen A. Gourley
author: Michele Bartuccelli
MaRDI profile type: Publication
full work available at URL: dcdsb.2005.5.1015
OpenAlex ID: W1972513205
DOI: 10.3934/DCDSB.2005.5.1015
description: scientific article; zbMATH DE number 5001892