Interacting birth-death processes in adaptation to an environmental change and their lineages

by Laetitia Colombani (ISFA, Lyon)

Thursday May 15, 2025, 10:00 AM → 11:00 AM Europe/Paris

Salle Fokko Du Cloux (Batiment Braconnier, La Doua)

In the last decades, environmental changes and the consequences of the evolution of the population, especially the phenotypic evolution, have been described by different models. In this ongoing study, with Tran and Méléard, we aim to understand the individual dynamics of a population. In particular, we want to describe the ancestral lineage of a living individual. Some preliminary work has been published by Calvez, Henry, Méléard and Tran in 2022 when the initial population is well distributed and is close to the stationary solution of a PDE.
In this talk, I will introduce the model, its construction, and the link with the PDE of the macroscopic dynamics of the phenotypic density. I'll then describe some of the results we obtain when we consider any initial repartition of the population.