Ali Moussaoui ; Nguyen Ngoc Doanh ; Pierre Auger - Analysis of a model describing stage-structured population dynamics using hawk-dove tactics

arima:1991 - Revue Africaine de la Recherche en Informatique et Mathématiques Appliquées, September 20, 2015, Volume 20 - 2015 - Special issue - Colloquium in Honor of Éric Benoît - https://doi.org/10.46298/arima.1991
Analysis of a model describing stage-structured population dynamics using hawk-dove tactics

Authors: Ali Moussaoui ; Nguyen Ngoc Doanh ; Pierre Auger

The purpose of this paper is to investigate the effects of conflicting tactics of resource acquisition on stage structured population dynamics. We present a population subdivided into two distinct stages (immature and mature). We assume that immature individual survival is density dependent. We also assume that mature individuals acquire resources required to survive and reproduce by using two contrasted behavioral tactics (hawk versus dove). Mature individual survival thus is assumed to depend on the average cost of fights while individual fecundity depends on the average gain in the competition to access the resource. Our model includes two parts: a fast part that describes the encounters and fights involves a game dynamic model based upon the replicator equations, and a slow part that describes the long-term effects of conflicting tactics on the population dynamics. The existence of two time scales let us investigate the complete system from a reduced one, which describes the dynamics of the total immature and mature densities at the slow time scale. Our analysis shows that an increase in resource value may decrease total population density, because it promotes individual (i.e. selfish) behavior. Our results may therefore find practical implications in animal conservation or biological control for instance.


Volume: Volume 20 - 2015 - Special issue - Colloquium in Honor of Éric Benoît
Published on: September 20, 2015
Submitted on: March 22, 2015
Keywords: Hawk and dove game, aggregation of variables, population dynamics.,Jeux faucon-colombe, agrégation des variables, dynamique des populations,[INFO] Computer Science [cs],[MATH] Mathematics [math]


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