Julien Arino

(Department of Mathematics, University of Manitoba)

Modelling The Spatio-Temporal Apread Of Infectious Diseases

Date Thursday, November 17, 2011

The SARS epidemic of 2003 illustrated the capacity of infectious diseases to spread quickly over vast distances. This potential fast dissemination is not the only spatio-temporal aspect of infectious diseases. For instance, human mobility has led to epidemics occurring in locations with active vaccination programs because of their connection to locations that had ceased to vaccinate.

After a brief introduction to spatio-temporal processes in epidemiology, I will present some interesting problems that arise when modelling such processes: large systems of differential equations, social network theory applied to a population of airports, continuous-time Markov chains, generalized Dirichlet tessellations of the plane.