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A density-dependent model describing age-structured population dynamics using hawk–dove tactics.

Authors :
Marvá, M.
Moussaouí, A.
de la Parra, R. Bravo
Auger, P.
Source :
Journal of Difference Equations & Applications. Jun2013, Vol. 19 Issue 6, p1022-1034. 13p.
Publication Year :
2013

Abstract

In this paper we deal with a nonlinear two-timescale discrete population model that couples age-structured demography with individual competition for resources. Individuals are divided into juvenile and adult classes, and demography is described by means of a density-dependent Leslie matrix. Adults compete to access resources; every time two adults meet, they choose either being aggressive (hawk) or non-aggressive (dove) to get the best pay-off. Individual encounters occur much more frequently than demographic events, what yields that the model takes the form of a two-timescale system. Approximate aggregation methods allow us to reduce the system while preserving at the same time crucial asymptotic information for the whole population. In this way, we are able to describe the total population size as function of individual aggressiveness level and environmental richness. Model analysis shows a general trend with species that look for richer environment having smaller proportions of hawk individuals with larger costs. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
10236198
Volume :
19
Issue :
6
Database :
Academic Search Index
Journal :
Journal of Difference Equations & Applications
Publication Type :
Academic Journal
Accession number :
88213202
Full Text :
https://doi.org/10.1080/10236198.2012.707195