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Asymptotic behavior of Eigen's quasispecies model
Joseba Dalmau
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. A limiting infinite system o…
The quasispecies distribution
Raphaël Cerf, Joseba Dalmau
The quasispecies model was introduced in 1971 by Manfred Eigen to discuss the first stages of life on Earth. It provides an appealing mathematical framework to study the evolution…
Quasispecies on class-dependent fitness landscapes
Raphaël Cerf, Joseba Dalmau
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 for…
Convergence of a Moran model to Eigen's quasispecies model
Joseba Dalmau
We prove that a Moran model converges in probability to Eigen's quasispecies model in the infinite population limit.