Asymptotic periodicity of a food-limited diffusive population model with time-delay
type: Item
instance of: scholarly article
title: Asymptotic periodicity of a food-limited diffusive population model with time-delay
zbMATH Open document ID: 1096.35123
author: Li Zhou
author: Yanbin Tang
author: Jinliang Wang
published in: Journal of Mathematical Analysis and Applications
publication date: 2006-03-29T00:00:00Z
review text: The authors discuss the stability and the asymptotic behavior of solutions for some reaction diffusion food-limited population model with delay. First, the authors establish sufficient conditions for the global asymptotic stability of the equilibrium zero with respect to nonnegative solutions. Second, the authors establish the existence of a unique periodic solution which is globally attractive. The authors discuss also the effect of the delay on the asymptotic behavior of solution. For illustration, several examples with numerical simulations are provided.
reviewed by: Khalil Ezzinbi
Mathematics Subject Classification ID: 35R10
Mathematics Subject Classification ID: 92D25
Mathematics Subject Classification ID: 35K57
Mathematics Subject Classification ID: 35B40
zbMATH DE Number: 5016109
zbMATH Keywords: food-limited diffusive population model
zbMATH Keywords: stability
zbMATH Keywords: asymptotic periodicity
zbMATH Keywords: upper-lower method
MaRDI profile type: Publication
full work available at URL: j.jmaa.2005.03.036
OpenAlex ID: W2073781522
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DOI: 10.1016/J.JMAA.2005.03.036
description: scientific article; zbMATH DE number 5016109