Convergence of a Moran model to Eigen's quasispecies model

Convergence of a Moran model to Eigen's quasispecies model

Joseba Dalmau (1)

1 CMAP - Centre de Mathématiques Appliquées - Ecole Polytechnique

We prove that a Moran model converges in probability to Eigen's quasispecies model in the infinite population limit. We show further that the invariant probability measure of the Moran model converges to the unique stationary solution of Eigen's quasispecies model.

Domaines: Mathématiques [math]

Joseba Dalmau. Convergence of a Moran model to Eigen's quasispecies model. Journal of Theoretical Biology, 2017, 420, pp.36-40. ⟨10.1016/j.jtbi.2017.02.035⟩. ⟨hal-03852260⟩