An analysis of an ordinary differential equation model for a two-species predator-prey system with harvesting and stocking

M. R. Myerscough*, B. F. Gray, W. L. Hogarth, J. Norbury

*Corresponding author for this work

    Research output: Contribution to journalArticlepeer-review

    55 Citations (Scopus)

    Abstract

    An analysis is presented for a model of a two-species predator-prey system where each species can be harvested or stocked. Using methods from bifurcation theory the qualitative nature of the steady-state solutions is examined. The effect of harvesting and stocking rates and the prey carrying capacity is examined in detail.

    Original languageEnglish
    Pages (from-to)389-411
    Number of pages23
    JournalJournal of Mathematical Biology
    Volume30
    Issue number4
    DOIs
    Publication statusPublished - 1992

    Keywords

    • Bifurcation
    • Degeneracy
    • Limit cycles
    • Predator-prey model
    • Rosenzweig-MacArthur equations

    Fingerprint

    Dive into the research topics of 'An analysis of an ordinary differential equation model for a two-species predator-prey system with harvesting and stocking'. Together they form a unique fingerprint.

    Cite this