Article
Early die out events in SIR epidemic models
Rose-Hulman Undergraduate Mathematics Journal
(2010)
Abstract
We are interested in the behavior of an SIR epidemic model with respect to low-probability events. Specifically, we want to identify the probability of the early die out of a disease. Ordinary differential equations are commonly used to model SIR systems. However, this approach fails to describe the spontaneous die out event. We develop a Markov SIR model from which the probability of early die out can be captured. Additional simulations reveal that this model agrees closely with the ODE solutions when this low-probability event is ignored.
Disciplines
Publication Date
Spring May, 2010
Citation Information
Jonathan Ballone. "Early die out events in SIR epidemic models" Rose-Hulman Undergraduate Mathematics Journal Vol. 11 Iss. 1 (2010) Available at: http://works.bepress.com/lora-billings/15/