An integro-differential model to study evolution
Seminar Room 1, Newton Institute
The evolution of a population structured by a continuous phenotypic trait can be modeled by integro-differential models called "Kimura models". Using numerical simulations, this model shows that the population often concentrates around a finite number of traits, which correspond to different species. In this presentation, we will present long time and rare mutations asymptotic results for this type of models.