Existence and global attractivity of positive periodic solutions for delay Lotka-Volterra competition patch systems with stocking
type: Item
instance of: scholarly article
title: Existence and global attractivity of positive periodic solutions for delay Lotka-Volterra competition patch systems with stocking
zbMATH Open document ID: 1057.34092
author: Hui Fang
author: Zhicheng Wang
published in: Journal of Mathematical Analysis and Applications
publication date: 2004-08-06T00:00:00Z
review text: The authors study Lotka-Volterra competition patch systems with stocking. The goal of the paper is to derive a set of easily verifiable conditions for the existence and global attractivity of positive periodic solutions of the systems under consideration. To this end, the authors use Mawhin's continuation theorem from the theory of the coincidence degree and Lyapunov functionals.
Mathematics Subject Classification ID: 34K13
Mathematics Subject Classification ID: 34K20
Mathematics Subject Classification ID: 92D25
zbMATH DE Number: 2082137
zbMATH Keywords: coincidence degree
zbMATH Keywords: positive periodic solution
zbMATH Keywords: global attractivity
zbMATH Keywords: Lotka-Volterra-type competition patch system
zbMATH Keywords: stocking rate
zbMATH Keywords: Lyapunov functional
reviewed by: Messoud Efendiev
MaRDI profile type: Publication
full work available at URL: j.jmaa.2003.12.036
OpenAlex ID: W1999271210
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DOI: 10.1016/J.JMAA.2003.12.036
description: scientific article; zbMATH DE number 2082137