Periodic solutions of a Lotka-Volterra type multi-species population model with time delays

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

    Research output: Contribution to journalArticle

    Abstract

    A delayed periodic Lotka-Volterra type population model with m predators and n preys is investigated. By using Gaines and Mawhin's continuation theorem of coincidence degree theory and by constructing suitable Lyapunov functionals, sufficient conditions are derived for the existence, uniqueness and global stability of positive periodic solutions of the model. Numerical simulation is presented to illustrate the feasibility of our main results.
    Original languageEnglish
    Pages (from-to)911-927
    Number of pages17
    JournalMathematische Nachrichten
    Volume279
    Issue number8
    DOIs
    Publication statusPublished - 2006

    Keywords

    • Periodic solution
    • Lyapunov functional
    • Global stability
    • Time delay

    Fingerprint Dive into the research topics of 'Periodic solutions of a Lotka-Volterra type multi-species population model with time delays'. Together they form a unique fingerprint.

  • Cite this