New results on positive periodic solutions of a periodic integro-differential competition system
type: Item
instance of: scholarly article
title: New results on positive periodic solutions of a periodic integro-differential competition system
zbMATH Open document ID: 1051.45004
DOI: 10.1016/S0096-3003(03)00654-4
published in: Applied Mathematics and Computation
publication date: 2004-08-06T00:00:00Z
review text: The author considers a system of integro-differential equations with infinite delay of convolution type. These equations may be used in mathematical models from ecology for populations and therefore one is interested in positive solutions. Many populations undergo periodic changes and therefore the focus of this paper is on the existence of positive periodic solutions. After the usual preliminaries, the main part of the paper is the proof of Theorem 3. This theorem gives conditions guaranteeing that the equation has at least one periodic positive solution. Finally the authors give a condition that ensures that the periodic solution is globally asymptotically stable.
Mathematics Subject Classification ID: 45J05
Mathematics Subject Classification ID: 45M15
Mathematics Subject Classification ID: 45M20
Mathematics Subject Classification ID: 45M05
Mathematics Subject Classification ID: 45M10
Mathematics Subject Classification ID: 45F05
Mathematics Subject Classification ID: 92D25
zbMATH DE Number: 2082071
zbMATH Keywords: system of integro-differential equations
zbMATH Keywords: positive solution, periodic solution, infinite delay
zbMATH Keywords: global asymptotic stability
zbMATH Keywords: convolution type
zbMATH Keywords: competition system
zbMATH Keywords: population dynamics
author: Yuming Chen
reviewed by: Neville J. Ford
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 2082071