Dr. Henri Berestycki
Centre d’analyse et mathématique sociales
CNRS and École des hautes études en sciences sociales (EHESS),
Paris, France
Title: Modelling the propagation of epidemics with diffusion
Abstract: Including diffusion in the classical framework of SIR equations in epidemiology leads to reaction-diffusion systems. In epidemiology, diffusion arises under several guises. After reviewing some classical results, I will present recent works that deal with diffusion and were motivated by the ongoing Covid-19 pandemic. If time permits, I will talk about: 1) a model of spatial spreading of Covid 19 in France with diffusion on graphs; 2) the effects of fast diffusion on lines such as roads; and 3) the effects of individual behaviors and social diffusion on the dynamics of epidemics.
Host: Dr. Joshua Weitz