Global asymptotic stability in a nonautonomous n-species Lotka-Volterra predator-prey system with infinite delays

Xu Rui, M. A. J. Chaplain, F. A. Davidson

    Research output: Contribution to journalArticlepeer-review

    2 Citations (Scopus)

    Abstract

    In this paper, a delayed n-Species nonautonomous Lokta-Volterra type food-chain system without dominating instantaneous negative feedback is investigated. By means of a Lyapunov functional, sufficient conditions are derived for the global asymptotic stability of the positive solution of the system. As a corollary, it is shown 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)107-126
    Number of pages20
    JournalApplicable Analysis
    Volume80
    Issue number1-2
    DOIs
    Publication statusPublished - 2001

    Keywords

    • Infinite delay
    • Global asymptotic stability
    • Lyapunov functional

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