Global asymptotic stability in n-species nonautonomous Lotka-Volterra competitive systems with infinite delays

Rui Xu, M. A. J. Chaplain, Lansun Chen

    Research output: Contribution to journalArticle

    17 Citations (Scopus)

    Abstract

    By means of Lyapunov functional, we have succeeded in establishing the global asymptotic stability of the positive solutions of a delayed n-species nonautonomous Lotka-Volterra type competitive system without dominating instantaneous negative feedbacks. As a corollary, we show that the global asymptotic stability of the positive solution is maintained provided that the delayed negative feedbacks dominate other interspecific interaction effects with delays and the mean delays are sufficiently small.
    Original languageEnglish
    Pages (from-to)295-309
    Number of pages15
    JournalApplied Mathematics and Computation
    Volume130
    Issue number2
    DOIs
    Publication statusPublished - 2002

    Keywords

    • Lyapunov functional
    • Global asymptotic stability
    • Infinite delay
    • Nonautonomous Lotka-Volterra competitive system

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