Periodic solution of a Lotka-Volterra predator-prey model with dispersion and time delays

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

    Research output: Contribution to journalArticle

    30 Citations (Scopus)

    Abstract

    A periodic Lotka–Volterra predator–prey model with dispersion and time delays is investigated. By using Gaines and Mawhin’s continuation theorem of coincidence degree theory and by means of a suitable Lyapunov functional, a set of easily verifiable sufficient conditions are derived for the existence, uniqueness and global stability of positive periodic solutions of the system. Sufficient conditions are also established for the uniform persistence of the system. Numerical simulations are presented to illustrate our main results.
    Original languageEnglish
    Pages (from-to)537-560
    Number of pages24
    JournalApplied Mathematics and Computation
    Volume148
    Issue number2
    DOIs
    Publication statusPublished - 2004

    Keywords

    • Dispersion
    • Time delay
    • Periodic solution
    • Persistence
    • Global stability

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