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Year class coexistence or competitive exclusion for strict biennials?

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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 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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Authors and Affiliations

  1. Department of Mathematics, Utrecht University, P.O.Box 80010, 3508 TA Utrecht, The Netherlands. e-mail: davydova@math.uu.nl, www.math.uu.nl/people/davydova, , , , , , NL

    N.V. Davydova

  2. Department of Mathematics, Utrecht University, P.O.Box 80010, 3508 TA Utrecht, The Netherlands. e-mail: diekmann@math.uu.nl, , , , , , NL

    O. Diekmann

  3. Faculty of Mathematical Sciences, University of Twente, P.O. Box 217, 7500 AE Enschede, The Netherlands. e-mail: stephan@math.utwente.nl, , , , , , NL

    S.A. van Gils

Authors
  1. N.V. Davydova
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  2. O. Diekmann
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  3. S.A. van Gils
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Received: 13 July 2001 / Revised version: 26 June 2002 / Published online: 19 November 2002

Key words or phrases: Competitive exclusion – Semelparous species – Periodical insects

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Davydova, N., Diekmann, O. & van Gils, S. Year class coexistence or competitive exclusion for strict biennials?. J. Math. Biol. 46, 95–131 (2003). https://doi.org/10.1007/s00285-002-0167-5

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  • DOI: https://doi.org/10.1007/s00285-002-0167-5

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