Speaker
Oscar de Wit
Description
We introduce a mean-field McKean-Vlasov model for a collective of ants. The model sustains two non-trivial dynamical behaviours: aggregation and lane formation. We show the well-posedness and mean-field limit for the particle model with singular interactions via a compactness method. We also show the existence of multiple invariant measures via perturbative Fourier-style bifurcation analysis, reflecting the aggregation and lane formation behaviours (joint work with Matthias Rakotomalala). We conclude with some open problems pertaining to interacting active Brownian particle models.