A probabilistic representation of the quasispecies distribution

Raphaël Cerf, Joseba Dalmau

Published 2016-07-05Version 1

We give a probabilistic representation of the stationary solutions of Eigen's model, when the set of possible genotypes is finite and the mutation matrix is primitive. In the long chain regime, we perform a formal passage to the limit to obtain a probabilistic representation of the quasispecies distribution. We prove rigorously the validity of this representation with the help of previously known exact formulas.