Talks' abstracts > Fittipaldi Maria Clara

Joint work with Frank Bravo Lozano.

In this talk, we will present the Logistic Branching Brownian Motion with selection (Log-BBM), a modification of the N-BBM defined by Groisman et al. (2020), in which birth and competition events are decoupled to allow for a variable population size that follows the branching process with logistic growth defined by Lambert (2005). We will show the representation of the Log-BBM as a microscopic model for a FKPP-type equation: in the large population limit, the renormalised empirical measure of the Log-BBM converges weakly to a probability measure whose density solves a nonlocal version of the FKPP equation, while its cumulative distribution function solves the classical FKPP equation.