Mathematical and computational approaches to contagion dynamics on networks

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dc.availability.bitstreamopenaccess
dc.contributor.advisorHoevel, Philippen
dc.contributor.advisorMulchrone, Kieran F.en
dc.contributor.authorHumphries, Rory
dc.date.accessioned2023-01-16T09:39:04Z
dc.date.available2023-01-16T09:39:04Z
dc.date.issued2022-09-27
dc.date.submitted2022-09-27
dc.description.abstractIn this thesis, we firstly introduce the basic terminology and concepts needed for the the following chapters. In particular we introduce the basics of graph/network theory, epidemiological models (both well mixed and on networks), and mobility models (the gravity and radiation models). After the introduction of these topics, we propose a general framework for epidemiological network models from which the known individual-based and pair-based models can be derived. We then introduce a more exact pair-based model by showing previous iterations are a linearised version of it, and then we extend it further to the temporal setting. Next, we present a meta-population model for the spread of COVID-19 in Ireland which makes use of temporal commuting patters generated from the radiation model. Finally, we analyse a year worth of Irish cattle trade data. We then fit a number of mobility models and show that an altered version of the radiation model, which we call the generalised radiation model, is able to accurately reproduce the distance distribution of cattle trades in the country.en
dc.description.statusNot peer revieweden
dc.description.versionAccepted Versionen
dc.format.mimetypeapplication/pdfen
dc.identifier.citationHumphries, R. 2022. Mathematical and computational approaches to contagion dynamics on networks. PhD Thesis, University College Cork.en
dc.identifier.endpage189en
dc.identifier.urihttps://hdl.handle.net/10468/14049
dc.language.isoenen
dc.publisherUniversity College Corken
dc.rights© 2022, Rory Humphries.en
dc.rights.urihttps://creativecommons.org/licenses/by-nc-nd/4.0/en
dc.subjectEpidemiologyen
dc.subjectNetwork scienceen
dc.subjectApplied mathematicsen
dc.titleMathematical and computational approaches to contagion dynamics on networksen
dc.typeDoctoral thesisen
dc.type.qualificationlevelDoctoralen
dc.type.qualificationnamePhD - Doctor of Philosophyen
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