Global stability for infinite delay lotka-volterra type systems

Yang Kuang, Hal Smith

Research output: Contribution to journalArticle

127 Scopus citations

Abstract

In this paper, sufficient conditions are established for the global stability of the saturated equilibrium of an infinite delay, nonautonomous Lotka-Volterra type system. The present work is distinguished from previous work principally be allowing the system to be nonautonomous and relaxing the traditional requirement that the undelayed intraspecific competition dominates both the delayed intraspecific competition as well as the interspecific interactions. We require the undelayed intraspecific competition to dominate the latter but not the former.

Original languageEnglish (US)
Pages (from-to)221-246
Number of pages26
JournalJournal of Differential Equations
Volume103
Issue number2
DOIs
StatePublished - Jan 1 1993

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics

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