Uniform asymptotic stability of a class of integro-differential systems
type: Item
instance of: scholarly article
title: Uniform asymptotic stability of a class of integro-differential systems
zbMATH Open document ID: 0684.45007
DOI: 10.1216/JIE-1988-1-4-581
published in: Journal of Integral Equations and Applications
publication date: 1988-01-01T00:00:00Z
review text: Sufficient conditions are obtained for uniform asymptotic stability of trivial solution of a class of Volterra integro-differential systems. These conditions give a larger region of uniform asymptotic stability than those of \textit{F. Brauer} [J. Differ. Equations 28, 180-188 (1978; Zbl 0385.34023)] and \textit{G. S. Jordan} [ibid. 31, 359-365 (1979; Zbl 0386.45010)]. The usefulness of the present result has been illustrated by an example concerning a predator-prey model where the predator population is harvested at a constant time rate.
Mathematics Subject Classification ID: 45J05
Mathematics Subject Classification ID: 45M10
Mathematics Subject Classification ID: 92B05
zbMATH DE Number: 4120767
zbMATH Keywords: uniform asymptotic stability
zbMATH Keywords: Volterra integro-differential systems
zbMATH Keywords: predator-prey model
author: Tibor Krisztin
MaRDI profile type: Publication
full work available at URL: jie-1988-1-4-581
OpenAlex ID: W2074116360
description: scientific article; zbMATH DE number 4120767