Issue |
ESAIM: ProcS
Volume 45, September 2014
Congrès SMAI 2013
|
|
---|---|---|
Page(s) | 58 - 66 | |
DOI | https://doi.org/10.1051/proc/201445006 | |
Published online | 13 November 2014 |
A variant of the look-down model with selection*
CMI, LATP-UMR 6632, Université de
Provence, 39 rue F. Joliot
Curie, Marseille cedex
13, FRANCE ;
bbah12@yahoo.fr
The goal of this paper is to study a new version of the look-down model with selection, where the population size N is finite and fixed. As in [1], we show (see Theorem 1.2) convergence in probability, locally uniformly in t, as the population size N tends to infinity, towards the Wright-Fisher diffusion with selection.
Résumé
Dans ce papier on présente une variante du modèle étudié dans l’article [1]. On étudie le modèle du look-down avec sélection dans le cas d’une population de taille finie et fixée. Nous montrons que la proportion de l’un des types converge en probabilité, quand la taille N de la population tend vers l’infini, vers la diffusion de Wright-Fisher avec sélection.
© EDP Sciences, SMAI 2014
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