An SIS epidemic in large population with individual variation

Phil Pollett

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)

Acknowledgement: This work is supported by the ARC

The speaker:

• Phil Pollett, Discipline of Mathematics, The University of Queensland. pkp@maths.uq.edu.au

Last modified: 21 October 2015