A particle system approach to aggregation phenomena
arXiv:1901.11318 · doi:10.1017/jpr.2019.18
Abstract
Inspired by a PDE-ODE system of aggregation developed in the biomathematical literature, an interacting particle system representing aggregation at the level of individuals is investigated. It is proved that the empirical density of the individual converges to solution of the PDE-ODE system.