We will consider the Wright-Fisher model with mutation and selection, and we will study it in a particular asymptotic regime: genomes are long, mutations are rare, and the population is large. We will obtain an error threshold phenomenon, in the form of a curve in the parameter space, separating two different regimes. In one of the regimes, the fittest genotype dies out, while in the other regime, the fittest genotype remains present in the population. Instead of taking over the whole population, this fittest individual is constantly giving birth to mutants, thus creating a stable but highly heterogeneous population, which we call the quasispecies.
Joseba Dalmau is a Postdoctoral Researcher at NYU Shanghai. Previous to that he did his Ph.D. under the supervision of Raphaël Cerf at Université Paris-Sud and worked as a Postdoc at École Polytechnique. His work has focused on probabilistic models of population genetics, in particular concerning mutationselection equilibrium.
Seminar by the NYU-ECNU Institute of Mathematical Sciences at NYU Shanghai