Exact solutions for the selection-mutation equilibrium in the Crow-Kimura evolutionary model
Populations and Evolution
2015-01-21 v2
Abstract
We reformulate the eigenvalue problem for the selection--mutation equilibrium distribution in the case of a haploid asexually reproduced population in the form of an equation for an unknown probability generating function of this distribution. The special form of this equation in the infinite sequence limit allows us to obtain analytically the steady state distributions for a number of particular cases of the fitness landscape. The general approach is illustrated by examples; theoretical findings are compared with numerical calculations.
Keywords
Cite
@article{arxiv.1408.4417,
title = {Exact solutions for the selection-mutation equilibrium in the Crow-Kimura evolutionary model},
author = {Yuri S. Semenov and Artem S. Novozhilov},
journal= {arXiv preprint arXiv:1408.4417},
year = {2015}
}
Comments
24 pages, 7 figures, new example added, several typos fixed