Quasispecies on class-dependent fitness landscapes
Rapha\"el Cerf, Joseba Dalmau
TL;DR
This paper analyzes Eigen's quasispecies model in the limit of infinite genotype length and vanishing mutation probability, providing explicit formulas for the stationary solutions of the resulting differential equations.
Contribution
It offers new explicit formulas for stationary solutions of the quasispecies model in a specific asymptotic regime.
Findings
Explicit formulas for stationary solutions
Asymptotic analysis of the model
Insights into genotype distribution stability
Abstract
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. We give several explicit formulas for the stationary solutions of the limiting system of differential equations.
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