Asymptotic behavior of Eigen's quasispecies model
Populations and Evolution
2017-04-25 v1 Dynamical Systems
Abstract
We study Eigen's quasispecies model in the asymptotic regime where the length of the genotypes goes to infinity and the mutation probability goes to 0. A limiting infinite system of differential equations is obtained. We prove the convergence of the trajectories, as well as the convergence of the equilibrium solutions. We give the analogous results for a discrete-time version of Eigen's model, which coincides with a model proposed by Moran.
Cite
@article{arxiv.1704.07280,
title = {Asymptotic behavior of Eigen's quasispecies model},
author = {Joseba Dalmau},
journal= {arXiv preprint arXiv:1704.07280},
year = {2017}
}