Date & Time: Friday, October 23, 2015, 15:00-16:00.
Venue: Ramanujan Hall
Title: An SIS epidemic in large population with individual variation
Speaker: Phil Pollet, The University of Queensland, Australia
Abstract: We consider a model similar to the stochastic SIS (Susceptible-Infectious-Susceptible) model in continuous time, which accounts for variation amongst individuals. We prove that, as the population size grows, the process can be approximated by a deterministic process. The equilibrium points of the limiting process are identified and their stability is examined (Joint work with Ross McVinish, The University of Queensland).