Year Class Coexistence or Competitive Exclusion for Strict Biennials?

N.V. Davydova, O. Diekmann, Stephanus A. van Gils

    Research output: Book/ReportReportProfessional

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    Abstract

    We consider a discrete time model of semelparous biennial population dynamics. Interactions between individuals are modelled with the aid of an 'environmental'' variable I. The impact on and the sensitivity to the environmental condition is age specific. The main result is that competitive exclusion between the year classes is possible as is their coexistence. For moderate values of the basic reproduction ratio R0 there is a strict dichotomy: depending on the other parameters we either find competitive exclusion or coexistence. We characterize rather precisely the patterns of age specific impact and sensitivity that lead to either of these outcomes.
    Original languageEnglish
    Place of PublicationUtrecht
    PublisherUniversiteit Utrecht
    Number of pages28
    Publication statusPublished - 2001

    Publication series

    NamePreprints/ Department of Mathematics
    PublisherDepartment of Mathematics, University of Utrecht
    No.1201

    Fingerprint

    Coexistence
    Exclusion
    Population dynamics
    Dichotomy
    Environmental conditions
    Interaction
    Discrete-time model

    Keywords

    • METIS-200576

    Cite this

    Davydova, N. V., Diekmann, O., & van Gils, S. A. (2001). Year Class Coexistence or Competitive Exclusion for Strict Biennials? (Preprints/ Department of Mathematics ; No. 1201). Utrecht: Universiteit Utrecht.
    Davydova, N.V. ; Diekmann, O. ; van Gils, Stephanus A. / Year Class Coexistence or Competitive Exclusion for Strict Biennials?. Utrecht : Universiteit Utrecht, 2001. 28 p. (Preprints/ Department of Mathematics ; 1201).
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    Davydova, NV, Diekmann, O & van Gils, SA 2001, Year Class Coexistence or Competitive Exclusion for Strict Biennials? Preprints/ Department of Mathematics , no. 1201, Universiteit Utrecht, Utrecht.

    Year Class Coexistence or Competitive Exclusion for Strict Biennials? / Davydova, N.V.; Diekmann, O.; van Gils, Stephanus A.

    Utrecht : Universiteit Utrecht, 2001. 28 p. (Preprints/ Department of Mathematics ; No. 1201).

    Research output: Book/ReportReportProfessional

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    AU - van Gils, Stephanus A.

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    N2 - We consider a discrete time model of semelparous biennial population dynamics. Interactions between individuals are modelled with the aid of an 'environmental'' variable I. The impact on and the sensitivity to the environmental condition is age specific. The main result is that competitive exclusion between the year classes is possible as is their coexistence. For moderate values of the basic reproduction ratio R0 there is a strict dichotomy: depending on the other parameters we either find competitive exclusion or coexistence. We characterize rather precisely the patterns of age specific impact and sensitivity that lead to either of these outcomes.

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    Davydova NV, Diekmann O, van Gils SA. Year Class Coexistence or Competitive Exclusion for Strict Biennials? Utrecht: Universiteit Utrecht, 2001. 28 p. (Preprints/ Department of Mathematics ; 1201).