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dc.contributor.authorHarman, Daviden_US
dc.contributor.authorJohnston, Peteren_US
dc.description.abstractThere are many different models to help predict the likely course an epidemic will take. However, the parameters within these models are often not known with certainty. It is important for this uncertainty to be incorporated into these models to ensure accurate predictions. This article considers the stochastic Galerkin method to solve an sir model with uncertainty in its parameters. A data set from an influenza outbreak in a boarding school is then investigated. Rather than just finding the `best' values for the parameters, several possible probability distributions for the parameters in the sir model are determined. The stochastic Galerkin method is then used to determine the mean solution of the model as well as its variance.en_US
dc.publisherCambridge University Pressen_US
dc.relation.ispartofjournalANZIAM Journalen_US
dc.subject.fieldofresearchBiological Mathematicsen_US
dc.titleApplying the stochastic Galerkin method to epidemic models with individualised parameter distributionsen_US
dc.typeJournal articleen_US
dc.type.descriptionC1 - Peer Reviewed (HERDC)en_US
dc.type.codeC - Journal Articlesen_US
gro.facultyGriffith Sciences, School of Natural Sciencesen_US
gro.hasfulltextNo Full Text
gro.griffith.authorHarman, David B.
gro.griffith.authorJohnston, Peter R.

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