Asymptotic behavior of Eigen's quasispecies model

Autor:	Dalmau, Joseba
Rok vydání:	2017
Předmět:	Quantitative Biology - Populations and Evolution Mathematics - Dynamical Systems
Druh dokumentu:	Working Paper
Popis:	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.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1704.07280 Zobrazit plný text záznamu View this record from Arxiv