Existence of recombination-selection equilibria for sexual populations
Populations and Evolution
2017-03-28 v1 Functional Analysis
Abstract
We study a birth and death model for the adapatation of a sexual population to an environment. The population is structured by a phenotypical trait, and, possibly, an age variable. Recombination is modeled by Fisher's infinitesimal operator. We prove the existence of principal eigenelements for the corresponding eigenproblem. As the infinitesimal operator is 1-homogeneous but nor linear nor monotone, the general Krein-Rutman theory cannot be applied to this problem.
Keywords
Cite
@article{arxiv.1703.09078,
title = {Existence of recombination-selection equilibria for sexual populations},
author = {Thibault Bourgeron and Vincent Calvez and Jimmy Garnier and Thomas Lepoutre},
journal= {arXiv preprint arXiv:1703.09078},
year = {2017}
}