Nonautonomous Lotka-Volterra systems with delays
type: Item
instance of: scholarly article
title: Nonautonomous Lotka-Volterra systems with delays
zbMATH Open document ID: 1013.34072
published in: Journal of Differential Equations
publication date: 2003-06-17T00:00:00Z
review text: The author studies a general nonautonomous Lotka-Volterra-type system with delays. A series of sufficient conditions for the ultimate boundedness, permanence, global attractivity, and existence and uniqueness of strictly positive solutions, positive periodic solutions, and almost-periodic solutions are established. These are extensions of results due to \textit{R. Redheffer} [J. Differ. Equations 127, No. 2, 519-541 (1996; Zbl 0856.34056) and ibid. 132, No. 1, 1-20 (1996; Zbl 0864.34043)] given for the corresponding system without delays.
reviewed by: Tibor Krisztin
Mathematics Subject Classification ID: 34K14
Mathematics Subject Classification ID: 92D25
Mathematics Subject Classification ID: 34K12
Mathematics Subject Classification ID: 34K13
Mathematics Subject Classification ID: 34K20
zbMATH DE Number: 1744212
zbMATH Keywords: nonautonomous Lotka-Volterra system
zbMATH Keywords: delay
zbMATH Keywords: global attractivity
zbMATH Keywords: strictly positive solution
zbMATH Keywords: periodic solution
zbMATH Keywords: almost-periodic solution
zbMATH Keywords: permanence
author: Zhidong Teng
MaRDI profile type: Publication
full work available at URL: jdeq.2001.4044
OpenAlex ID: W2079216175
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DOI: 10.1006/JDEQ.2001.4044
description: scientific article; zbMATH DE number 1744212