Persistence and global stability in a delayed predator-prey system with Holling-type functional response

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

    Research output: Contribution to journalArticle

    3 Citations (Scopus)

    Abstract

    A delayed predator-prey system with Holling type III functional response is investigated. It is proved that the system is uniformly persistent under some appropriate conditions. By means of suitable Lyapunov functionals, sufficient conditions are derived for the local and global asymptotic stability of a positive equilibrium of the system. Numerical simulations are presented to illustrate the feasibility of our main results.
    Original languageEnglish
    Pages (from-to)121-141
    Number of pages21
    JournalANZIAM Journal
    Volume46
    Issue number1
    DOIs
    Publication statusPublished - 2004

    Keywords

    • Global stability
    • Persistence
    • Predator-prey model

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