Limit theorem for a SIR model on a random graph
Speaker: Jean-Stéphane Dhersin (University Paris 13)

Time: 14h Friday, April 27, 2018

Location: Rom 302, Building A5, Institute of Mathematics

Abstract: We consider a SIR epidemic model propagating on a random network generated by a configuration model, where the degree distribution of the vertices is given and where the edges are randomly matched. The evolution of the epidemics is summed up into three measure-valued equations that describe the degrees of the susceptible individuals and the number of edges from an infectious or removed individual to the set of susceptible. These three degree distributions are sufficient to describe the course of the disease. The limit in large population is investigated. As a corollary, this provides a rigorous proof of equations obtained by Volz.