Attractivity in a delayed three-species ratio-dependent predator-prey system without dominating instantaneous negative feedback

Rui Xu, Lan-sun Chen, M. A. J. Chaplain

    Research output: Contribution to journalArticle

    Abstract

    A delayed three-species ratio-dependent predator-prey food-chain model without dominating instantaneous negative feedback is investigated. It is shown that the system is permanent under some appropriate conditions, and sufficient conditions are derived for the global attractivity of the positive equilibrium of the system.
    Original languageEnglish
    Pages (from-to)317-332
    Number of pages16
    JournalActa Mathematicae Applicatae Sinica
    Volume19
    Issue number2
    DOIs
    Publication statusPublished - 2003

    Keywords

    • Time delay
    • Uniform persistence
    • Global attractivity

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