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dc.contributor.authorHarman, David
dc.contributor.authorJohnston, Peter
dc.date.accessioned2018-06-18T01:30:27Z
dc.date.available2018-06-18T01:30:27Z
dc.date.issued2016
dc.identifier.issn1446-1811
dc.identifier.doi10.21914/anziamj.v57i0.10394
dc.identifier.urihttp://hdl.handle.net/10072/339577
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.
dc.description.peerreviewedYes
dc.languageEnglish
dc.language.isoeng
dc.publisherCambridge University Press
dc.relation.ispartofpagefromC160
dc.relation.ispartofpagetoC176
dc.relation.ispartofjournalANZIAM Journal
dc.relation.ispartofvolume57
dc.subject.fieldofresearchMathematical sciences
dc.subject.fieldofresearchBiological mathematics
dc.subject.fieldofresearchEngineering
dc.subject.fieldofresearchcode49
dc.subject.fieldofresearchcode490102
dc.subject.fieldofresearchcode40
dc.titleApplying the stochastic Galerkin method to epidemic models with individualised parameter distributions
dc.typeJournal article
dc.type.descriptionC1 - Articles
dc.type.codeC - Journal Articles
gro.facultyGriffith Sciences, School of Natural Sciences
gro.hasfulltextNo Full Text
gro.griffith.authorHarman, David B.


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