2010
DOI: 10.1111/j.1467-9469.2010.00721.x
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Bayesian Inference for Contact Networks Given Epidemic Data

Abstract: In this article, we estimate the parameters of a simple random network and a stochastic epidemic on that network using data consisting of recovery times of infected hosts. The SEIR epidemic model we fit has exponentially distributed transmission times with gamma distributed latent (exposed) and infective periods on a network where every tie exists with the same probability, independent of other ties. We employ a Bayesian framework and MCMC integration to make estimates of the joint posterior distribution of th… Show more

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Cited by 65 publications
(82 citation statements)
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“…If we have reason to believe that a particular individual is responsible for this infection, we can incorporate this information by multiplying the weight given to this individual in the prior distribution by a factor greater than 1. Groendyke, Welch, and Hunter (2011) studies the effect of various weights on the resulting posterior distribution of the transmission tree. In the cases where it is necessary to infer the exposure and/or infectious times of individuals, we use a flat (uninformative) prior distribution for these times.…”
Section: Priorsmentioning
confidence: 99%
See 2 more Smart Citations
“…If we have reason to believe that a particular individual is responsible for this infection, we can incorporate this information by multiplying the weight given to this individual in the prior distribution by a factor greater than 1. Groendyke, Welch, and Hunter (2011) studies the effect of various weights on the resulting posterior distribution of the transmission tree. In the cases where it is necessary to infer the exposure and/or infectious times of individuals, we use a flat (uninformative) prior distribution for these times.…”
Section: Priorsmentioning
confidence: 99%
“…The network and transmission tree are included so that the likelihood can be more easily calculated, but these parameters may not always be of interest. Full details of the implementation of the algorithm are given in Groendyke et al (2011) and Groendyke et al (2012).…”
Section: Inferencementioning
confidence: 99%
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“…Some interesting previous work is: a hierarchical network model for the epidemic of A/H1N1 virus spreading in Romania [17], a network model to study the RSV spread in the population of the Spanish region of Valencia [15,18], a scale-free network modeling dengue in Singapore [19], a complete graph network modeling the social obesity epidemic [20], a social network to investigate the 2007 outbreak of equine influenza in Australia [21], a network study of a measles outbreak in Hagelloch, Germany, in 1861 consisting of 188 affected individuals [22] and a network model that describes the empirical data of the 2000/2001 cholera epidemic which took place in the Kwa Zulu-Natal Province, South Africa [23]. In [24] authors developed an interesting agent-based model, in which each individual is explicitly represented and vector populations are linked to precipitation estimates.…”
Section: Introductionmentioning
confidence: 99%
“…Since then, various approaches have been proposed for influenza detection and prediction (Groendyke et al, 2011;Moreno et al, 2002;Mugglin et al, 2002).…”
Section: Related Workmentioning
confidence: 99%