Permanence and periodicity of a delayed ratio-dependent predator-prey model with stage structure

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

    Research output: Contribution to journalArticle

    17 Citations (Scopus)

    Abstract

    A periodic ratio-dependent predator–prey model with time delays and stage structure for both prey and predator is investigated. It is assumed that immature individuals and mature individuals of each species are divided by a fixed age, and that immature predators do not have the ability to attack prey. Sufficient conditions are derived for the permanence and existence of positive periodic solutions of the model. Numerical simulations are presented to illustrate the feasibility of our main results
    Original languageEnglish
    Pages (from-to)602-621
    Number of pages20
    JournalJournal of Mathematical Analysis and Applications
    Volume303
    Issue number2
    DOIs
    Publication statusPublished - 2005

    Keywords

    • Stage structure
    • Ratio-dependence
    • Permanence
    • Periodic solution
    • Time delay

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