Vanja Dukic

Department of Heatlh Studies
The University of Chicago


A Bayesian SEIR Approach to Modeling Smallpox Epidemic

Much of the recent public-policy debate regarding smallpox vaccination has been focused on mass versus trace vaccination strategies; namely, whether the public can be better protected by vaccination of the entire population or of only those who have been in contact with infected individuals. Much of the previous work on smallpox epidemics has generally employed relatively complex deterministic models, with many biological parameters fixed, and focusing mostly on a single point estimate of the disease reproductive rate (the number of newly infected individuals arising from a single infected individual). We present a Bayesian analysis of multiple past smallpox epidemics, using a Markov chain Monte Carlo approach coupled with a simple set of differential equations. This analysis provides an estimate of the distribution of the disease reproductive rate rather than a single point estimate, taking into account the uncertainty in all other parameters in the model, and consequently allowing a more informed decision making with regards to the public policy of smallpox inoculation.

Joint work with B. Elderd and G. Dwyer, Dept. of Ecology and Evolution and Center for Integrating Statistics and Environmental Sciences, University of Chicago. Although this research is supported by EPA STAR grant R-82940201-0, it does not necessarily reflect EPA views.


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