Periodic solutions for a delayed predator-prey model of prey dispersal in two-patch environments

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

    Research output: Contribution to journalArticle

    50 Citations (Scopus)

    Abstract

    A delayed periodic Lotka–Volterra type predator-prey model with prey dispersal in two-patch environments 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 obtained to guarantee the existence, uniqueness and global stability of positive periodic solutions of the system. Numerical simulations are given to illustrate the feasibility of our main results.
    Original languageEnglish
    Pages (from-to)183-206
    Number of pages24
    JournalNonlinear Analysis: Real World Applications
    Volume5
    Issue number1
    DOIs
    Publication statusPublished - 2004

    Keywords

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

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