Exact solution of the finite population size quasispecies model

Davit Sahakyan
Yerevan Physics Institute

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     Last modified: March 30, 2006

Abstract
We solve exactly Kimura's and Eigen's models for the general case of fitness landscapes. Exact expressions are derived for the mean fitness and error threshold, population landscape and the relaxation dynamics.
For the case of finite (large) population we derive an exact expressions for the distribution of the mean fitness, as well as for its dynamics for the single peak fitness landscape. A preliminary version is in PNAS, 103, 4395 (2006).