A metapopulation model for mass gatherings Application: global travel, Hajj and the spread of measles

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dc.contributor.authorMenjivar, Liliana
dc.contributor.examiningcommitteePortet, Stéphanie (Mathematics) Koulis, Theo (Statistics)en_US
dc.contributor.supervisorArino, Julien (Mathematics)en_US
dc.date.accessioned2013-09-12T13:33:55Z
dc.date.available2013-09-12T13:33:55Z
dc.date.issued2013-09-12
dc.degree.disciplineMathematicsen_US
dc.degree.levelMaster of Science (M.Sc.)en_US
dc.description.abstractMass gatherings stress local and global health care systems as they bring together individuals from all over the world that have very different health conditions. We firstly provide an overview of the concepts and results of mathematical epidemiology and public health. Secondly, we present an introduction to the mathematical modelling of measles using deterministic and stochastic approaches for both single and multiple populations. Lastly, we develop a model for mass gatherings and present an application to measles during the Hajj by studying an SIR deterministic metapopulation model with residency and its stochastic analogue. The models incorporate real world country data and time dependent movement and transmission rates, accounting for realistic volume of international travel and seasonality of measles activity. Numerical results for the deterministic system are presented. We conclude with a discussion on further work.en_US
dc.description.noteOctober 2013en_US
dc.identifier.urihttp://hdl.handle.net/1993/22178
dc.language.isoengen_US
dc.rightsopen accessen_US
dc.subjectmass gatheringsen_US
dc.subjectmetapopulationsen_US
dc.subjectHajjen_US
dc.subjectmeaslesen_US
dc.subjectglobal travelen_US
dc.subjectSaudi Arabiaen_US
dc.subjectdeterministic systemsen_US
dc.subjectstochastic processesen_US
dc.subjectSLIRen_US
dc.subjectSIRen_US
dc.subjectpublic healthen_US
dc.subjectMeccaen_US
dc.subjectmathematical epidemiologyen_US
dc.subjectODEen_US
dc.subjectCTMCen_US
dc.subjectspatialen_US
dc.subjectmultiple populationsen_US
dc.subjectsingle populationen_US
dc.titleA metapopulation model for mass gatherings Application: global travel, Hajj and the spread of measlesen_US
dc.typemaster thesisen_US
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