Abstracts > Bravo Lozano Frank Eduardo

We study the logistic branching Brownian motion with selection, a variant of the N-BBM with rank-dependent competition introduced by Groisman et al (2020). In contrast to the original model, birth and competition events are decoupled, allowing the population size to vary according to the logistic branching process defined by Lambert (2005). We show that, in the infinite-population limit, the speed of the system converges to the minimal wave speed of the FKPP equation, independently of the initial condition. Furthermore, we derive an upper bound on the finite-population correction to the propagation speed. This talk is based on a joint work with Maria Clara Fittipaldi.