Persistence and periodic orbits for two-species non-autonomous diffusion Lotka-Volterra models
type: Item
instance of: scholarly article
title: Persistence and periodic orbits for two-species non-autonomous diffusion Lotka-Volterra models
zbMATH Open document ID: 1074.34053
author: Fengde Chen
published in: Applied Mathematics. Series B (English Edition)
publication date: 2005-04-04T00:00:00Z
review text: A nonautonomous competition system is investigated. The species \(x\) can diffuse between two patches of a heterogeneous environment with barriers between patches, but for the competitor species \(y\), the diffusion does not involve a barrier between patches. It is assumed that all parameters are time-dependent. It is shown that the system can be made persistent under some appropriate conditions. Sufficient conditions that guarantee the existence of a unique positive periodic orbit which is globally asymptotic stable are derived.
reviewed by: Vasile Marinca
Mathematics Subject Classification ID: 34D05
Mathematics Subject Classification ID: 34C25
Mathematics Subject Classification ID: 92D25
Mathematics Subject Classification ID: 34D23
zbMATH DE Number: 2151006
zbMATH Keywords: diffusion
zbMATH Keywords: periodic orbits
zbMATH Keywords: global stability
zbMATH Keywords: persistence
zbMATH Keywords: Lotka-Volterra system
MaRDI profile type: Publication
full work available at URL: s11766-004-0001-5
OpenAlex ID: W2326228198
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DOI: 10.1007/S11766-004-0001-5
description: scientific article; zbMATH DE number 2151006