Quasispecies on Class-Dependent Fitness Landscapes.
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. We give several explicit formulas for the stationary solutions of the limiting system of differential equations.
École Normale Supérieure, Paris, France.
Raphaël
R
Cerf
École Normale Supérieure, Paris, France. dalmau2718@gmail.com.
Joseba
J
Dalmau
D019143:Evolution, Molecular; D005838:Genotype; D055641:Mathematical Concepts; D008957:Models, Genetic; D009154:Mutation; D012641:Selection, Genetic
Eigen’s model; Multinomial coefficients; Quasispecies; Stationary solutions; Up-down coefficients