Stochastic Epidemic Modeling

Priscilla E. Greenwood () and Luis F. Gordillo ()
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Priscilla E. Greenwood: Arizona State University, Department of Mathematics and Statistics
Luis F. Gordillo: University of Puerto Rico-RUM, Department of Mathematics

A chapter in Mathematical and Statistical Estimation Approaches in Epidemiology, 2009, pp 31-52 from Springer

Abstract: Abstract We review the topic of stochastic epidemic modeling with emphasis on compartmental stochastic models. A main theme is the usefulness of the correspondence between these and their large population deterministic limits, which describe dynamical systems. The dynamics of an ODE system informs us of the deterministic skeleton upon which the behavior of corresponding stochastic systems are built. In this chapter we present a number of examples, mostly in the context of susceptible-infected-removed (SIR) models, and point out how this way of thinking may be useful in understanding other stochastic models. In particular we discuss the distribution of final epidemic size, the effect of different patterns of infectiousness, and the quantification of stochastically sustained oscillations.

Keywords: Epidemic modeling; Stochastic SIR; Final size distribution; Vaccination; Stochastically sustained oscillations; Variable infectiousness (search for similar items in EconPapers)
Date: 2009
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-90-481-2313-1_2

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DOI: 10.1007/978-90-481-2313-1_2

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