Bulletin of Mathematical Biology

, Volume 72, Issue 1, pp 184–207 | Cite as

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

  • Hanna T. M. EskolaEmail author
  • Kalle Parvinen
Original Article


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.


First-principles derivation Discrete-time population model Allee effect 


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Copyright information

© Society for Mathematical Biology 2009

Authors and Affiliations

  1. 1.Department of MathematicsUniversity of TurkuTurkuFinland
  2. 2.Turku Centre for Computer Science TUCSTurkuFinland

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