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

Rui Xu, M. A. J. Chaplain

    Research output: Contribution to journalArticle

    25 Citations (Scopus)

    Abstract

    A delayed three-species predator–prey food-chain model with Michaelis–Menten type functional response is investigated. It is proved that the system is uniformly persistent under some appropriate conditions. By means of constructing suitable Lyapunov functional, sufficient conditions are derived for the global asymptotic stability of the positive equilibrium of the system.
    Original languageEnglish
    Pages (from-to)441-455
    Number of pages15
    JournalApplied Mathematics and Computation
    Volume130
    Issue number2-3
    DOIs
    Publication statusPublished - Aug 2002

    Keywords

    • Delay
    • Uniform persistence
    • Stability
    • Lyapunov functional

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