Asymptotic Behavior of Eigen's Quasispecies Model.

Abstract:

:We study Eigen's quasispecies model in the asymptotic regime where the length of the genotypes goes to [Formula: see text] and the mutation probability goes to 0. A limiting infinite system of differential equations is obtained. We prove convergence of trajectories, as well as convergence of the equilibrium solutions. We give analogous results for a discrete-time version of Eigen's model, which coincides with a model proposed by Moran.

journal_name

Bull Math Biol

authors

Dalmau J

doi

10.1007/s11538-018-0420-8

subject

Has Abstract

pub_date

2018-07-01 00:00:00

pages

1689-1712

issue

7

eissn

0092-8240

issn

1522-9602

pii

10.1007/s11538-018-0420-8

journal_volume

80

pub_type

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