Persistence and stability of a stage-structured predator-prey model with time delays

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

    Research output: Contribution to journalArticle

    23 Citations (Scopus)

    Abstract

    A delayed predator-prey model with stage structure for the predator is proposed and investigated. Sufficient conditions are derived for persistence, the local and global asymptomatic stability of a positive equilibrium of the model. Numerical simulations are presented to illustrate the feasability of our main results.
    Original languageEnglish
    Pages (from-to)259-277
    Number of pages19
    JournalApplied Mathematics and Computation
    Volume150
    Issue number1
    DOIs
    Publication statusPublished - Feb 2004

    Keywords

    • Stage structure
    • Predator-prey model
    • Time delay
    • Persistence
    • Stability

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