On a boom and bust year class cycle

Odo Diekmann, Natalia Davydova, Stephanus A. van Gils

    Research output: Contribution to journalArticleAcademicpeer-review

    18 Citations (Scopus)

    Abstract

    We motivate and describe a class of nonlinear Leslie matrix models for semelparous populations, like cicadas and Pacific salmon. We then focus on a Cushing-inspired special case for which one can show rigorously that a heteroclinic boundary cycle exists and attracts nearby orbits for a certain range of parameters. Along the way we formulate some open problems concerning a carrying simplex and global behaviour.
    Original languageUndefined
    Pages (from-to)327-335
    Number of pages9
    JournalJournal of difference equations and applications
    Volume4
    Issue number5
    DOIs
    Publication statusPublished - 4 Apr 2005

    Keywords

    • Heteroclinic cycle
    • METIS-226013
    • Leslie matrix model
    • IR-74623
    • Semelparous species
    • EWI-13996

    Cite this