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

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...

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Bibliographic Details
Published in:Bulletin of mathematical biology 2010, Vol.72 (1), p.184-207
Main Authors: Eskola, Hanna T. M, Parvinen, Kalle
Format: Article
Language:English
Subjects:
Age Factors
Animals
Cannibalism
Cell Biology
Ecosystem
Female
Life Sciences
Male
Mathematical and Computational Biology
Mathematics
Mathematics and Statistics
Models, Theoretical
Original Article
Population Dynamics
Seasons
Sex Ratio
Sexual Behavior, Animal
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Summary: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.
ISSN:0092-8240
1522-9602
DOI:10.1007/s11538-009-9443-5