Agent-based models: from bacterial aggregation to wealth hot-spots

Speaker: Theodore Kolokolnikov

Date: Wed, Oct 19, 2022

Location: PIMS, University of British Columbia, Zoom, Online

Conference: Mathematical Biology Seminar

Subject: Mathematics, Mathematical Biology

Class: Scientific


Agent-based models are widely used in numerous applications. They have an advantage of being easy to formulate and to implement on a computer. On the other hand, to get any mathematical insight (motivated by, but going beyond computer simulations) often requires looking at the continuum limit where the number of agents becomes large. In this talk I give several examples of agent- based modelling, including bacterial aggregation, spatio-temporal SIR model, and wealth hotspots in society; starting from their derivation to taking their continuum limit, to analysis of the resulting continuum equations.