Talk

Dynamics of concentration in an age and phenotype structured population model
Cécile Taing (Université de Poitiers, Laboratoire de Mathématiques et Applications)

In this talk, I will present a study on a mathematical model describing the growth process of a population structured by age and a phenotypical trait, subject to aging, competition between individuals and rare mutations. The goals of this study was to describe the asymptotic behavior of the solution to a renewal type equation, and then to derive properties that illustrate the adaptive dynamics of the population. I will begin with a simplified model by discarding the effect of mutations, which allows us to introduce the main ideas and state the full result. Then we discuss the general model and its limitations

Slides: [talk]