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The Allee Effect in Mechanistic Models Based on Inter-individual Interaction Processes

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Abstract

Recently, Eskola and Geritz (Bull. Math. Biol. 69:329–346, 2007) showed that several discrete-time population models can be derived mechanistically within a single ecological framework by varying the within-season patterns of reproduction and inter-individual aggression. However, these models do not have the Allee effect. In this paper, we modify the original modelling framework by adding different mate finding processes, and thus derive mechanistically several population models with the Allee effect.

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Authors and Affiliations

  1. Department of Mathematics, University of Turku, 20014, Turku, Finland

    Hanna T. M. Eskola & Kalle Parvinen

  2. Turku Centre for Computer Science TUCS, Turku, Finland

    Kalle Parvinen

Authors
  1. Hanna T. M. Eskola
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  2. Kalle Parvinen
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Correspondence to Hanna T. M. Eskola.

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Eskola, H.T.M., Parvinen, K. The Allee Effect in Mechanistic Models Based on Inter-individual Interaction Processes. Bull. Math. Biol. 72, 184–207 (2010). https://doi.org/10.1007/s11538-009-9443-5

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  • DOI: https://doi.org/10.1007/s11538-009-9443-5

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