CAA online seminar: 22nd April 2021, “Dynamics of a kinetic model from evolutionary biology “

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The CAA online seminar for this week is as follows:

Speaker: Dr. Gael Raoul Affiliation: Ecole Polytechnique Paris, France

Date: Thursday, 22nd April

Starting time: 10:30 AM, German local time (UTC + 2)

Title: Dynamics of a kinetic model from evolutionary biology

Abstract: We consider a population structured by a phenotypic trait. If the species reproduces sexually, if two parents produce an each offspring, the trait of the offspring is a combination of the parent’s traits. The distribution of the offspring’s trait is given by the so-called infinitesimal model. We obtain the a reproduction term that is similar to a collision operator in kinetic theory. This reproduction term is associated to a multiplicative operator that represents natural selection. In this talk, we will consider the long time dynamics of solution of that model when the selection is assumed weak enough. We will be able to show how estimates based on the Wasserstein distance can be used to extend approaches used by population geneticists.

Zoom link:

Meeting ID: 612 9526 5490 , Passcode: 983384