title: Convergence of a Moran model to Eigen's quasispecies model.
abstract: We prove that a Moran model converges in probability to Eigen's quasispecies model in the infinite population limit. We show further that the invariant probability measure of the Moran model converges to the unique stationary solution of Eigen's quasispecies model.
authors.affiliation: DMA, École Normale Supérieure, France; CMAP, École Polytechnique, France.
authors.forename: Joseba
authors.initials: J
authors.lastname: Dalmau
mesh_terms: D005075:Biological Evolution; D006801:Humans; D008962:Models, Theoretical; D009154:Mutation; D011158:Population Growth; D011336:Probability; D000074704:Quasispecies / Q000235:genetics*
keywords: Invariant measure; Law of large numbers