Year class coexistence or competitive exclusion for strict biennials?

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

    Research output: Contribution to journalArticleAcademicpeer-review

    41 Citations (Scopus)

    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 R 0 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
    Pages (from-to)95-131
    Number of pages37
    JournalJournal of mathematical biology
    Volume46
    Issue number2
    DOIs
    Publication statusPublished - 2003

    Fingerprint

    Basic Reproduction Number
    biennials
    Competitive Exclusion
    Population dynamics
    competitive exclusion
    Population Dynamics
    Coexistence
    Basic Reproduction Ratio
    Biennial
    environmental factors
    Discrete-time Model
    Dichotomy
    population dynamics
    Interaction
    Class

    Keywords

    • Competitive exclusion
    • METIS-209231
    • IR-74624
    • EWI-13998
    • Semelparous species
    • Periodical insects

    Cite this

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    title = "Year class coexistence or competitive exclusion for strict biennials?",
    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 R 0 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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    author = "N.V. Davydova and O. Diekmann and {van Gils}, S.A.",
    year = "2003",
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    language = "English",
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    Year class coexistence or competitive exclusion for strict biennials? / Davydova, N.V.; Diekmann, O.; van Gils, S.A.

    In: Journal of mathematical biology, Vol. 46, No. 2, 2003, p. 95-131.

    Research output: Contribution to journalArticleAcademicpeer-review

    TY - JOUR

    T1 - Year class coexistence or competitive exclusion for strict biennials?

    AU - Davydova, N.V.

    AU - Diekmann, O.

    AU - van Gils, S.A.

    PY - 2003

    Y1 - 2003

    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 R 0 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.

    AB - 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 R 0 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.

    KW - Competitive exclusion

    KW - METIS-209231

    KW - IR-74624

    KW - EWI-13998

    KW - Semelparous species

    KW - Periodical insects

    U2 - 10.1007/s00285-002-0167-5

    DO - 10.1007/s00285-002-0167-5

    M3 - Article

    VL - 46

    SP - 95

    EP - 131

    JO - Journal of mathematical biology

    JF - Journal of mathematical biology

    SN - 0303-6812

    IS - 2

    ER -