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dc.contributor.authorVaziry, Arvin
dc.date.accessioned2021-12-20T12:51:22Z
dc.date.available2021-12-20T12:51:22Z
dc.date.issued2021-12-20T12:51:22Z
dc.identifier.urihttp://hdl.handle.net/10222/81126
dc.description.abstractWe derive a PDE model of the infection spread, which takes population density into account. This model is a continuum limit of agent-based model of human movement. Numerical simulations of the model show that dense population areas encounter higher probability of outbreak, which shows consistency with reality. We also investigate the effect of having large diffusion rate in the model. Our further studies show propagation of disease in the domain, which its speed varies with population density. We estimate this speed in the slow diffusion rate regime. Its propagation between two dense areas that are connected with a very low population density area is proven to be possible by our works. As a case example, we examine coronavirus spread in the Canadian province of Nova Scotia which enable us to verify our understanding of "tunneling" between two dense regions. Lastly, we propose several generalizations of the model towards future studies.en_US
dc.language.isoenen_US
dc.subjectInfectious diseaseen_US
dc.subjectModellingen_US
dc.subjectEpidemiologyen_US
dc.subjectCompartmental modelen_US
dc.subjectAsymptoticen_US
dc.titleModelling of spatial infection spread through heterogeneous population: from lattice to PDE modelsen_US
dc.date.defence2021-12-16
dc.contributor.departmentDepartment of Mathematics & Statistics - Math Divisionen_US
dc.contributor.degreeMaster of Scienceen_US
dc.contributor.external-examinern/aen_US
dc.contributor.graduate-coordinatorSara Faridien_US
dc.contributor.thesis-readerDavid Ironen_US
dc.contributor.thesis-readerAlan Coleyen_US
dc.contributor.thesis-supervisorTheodore Kolokolnikoven_US
dc.contributor.ethics-approvalNot Applicableen_US
dc.contributor.manuscriptsNoen_US
dc.contributor.copyright-releaseNoen_US
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