This talk will show the derivation for the governing equations that describe the evolution of an SIR model for the spread of a disease in which the probability of recovering from the disease is a function of the time since infection. The derivation is based on a stochastic process, a continuous time random walk, describing the motion of individuals through SIR compartments. If the probability of recovering is power law distributed then the governing equations involve fractional-order derivatives. I will show that the fractional order recovery model is consistent with the general age-structured Kermack-McKendrick SIR model.



Anna McGann

Research Area



School of Mathematics and Statistics, UNSW


Wed, 27/05/2015 - 11:00am


RC-4082, The Red Centre, UNSW