Global positive periodic solutions of periodic \(n\)-species competition systems
type: Item
instance of: scholarly article
title: Global positive periodic solutions of periodic \(n\)-species competition systems
zbMATH Open document ID: 1177.34056
author: Jurang Yan
published in: Journal of Mathematical Analysis and Applications
publication date: 2009-06-10T00:00:00Z
review text: Lotka-Volterra systems have been investigated extensively for the last decades. Many results dealing with the global existence and attractivity of periodic solutions have been obtained. As an extension of the Lotka-Volterra models in 1973, a more complicated model was proposed by Gilpin and Ayala. In the presented paper, an easily verifiable necessary and sufficient condition for the existence of positive periodic solutions of generalized \(n\)-species systems of Lotka-Volterra type and Gilpin-Ayala type is obtained. It improves a series of well-known sufficiency conditions in the literature about the problems mentioned above. The method is based on a fixed point theorem in a cone of a Banach space. This approach can be applied to more general competition systems
Mathematics Subject Classification ID: 34C25
Mathematics Subject Classification ID: 92D25
Mathematics Subject Classification ID: 47N20
zbMATH DE Number: 5563868
zbMATH Keywords: Lotka-Volterra equation
zbMATH Keywords: periodic solutions
reviewed by: Bozhidar Cheshankov
MaRDI profile type: Publication
full work available at URL: j.jmaa.2009.03.013
OpenAlex ID: W2026116631
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DOI: 10.1016/J.JMAA.2009.03.013
description: scientific article; zbMATH DE number 5563868