Poincaré Map Construction for Some Classic Two Predators-One Prey Systems

AV Osipov, Gunnar Söderbacka

    Research output: Contribution to journalArticleScientificpeer-review

    3 Citations (Scopus)


    In this paper, we consider a family of systems with two predators feeding on one prey. We show how to construct a positively invariant set in which it is possible to define a Poincare map for examining the behavior of the system, mainly in the case when both predators survive. We relate it to examples from earlier works.
    Original languageUndefined/Unknown
    Pages (from-to)
    Number of pages9
    JournalInternational Journal of Bifurcation and Chaos
    Issue number8
    Publication statusPublished - 2017
    MoE publication typeA1 Journal article-refereed


    • Poincare map
    • bifurcations
    • predator-prey

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