The effects of network structure and geography on the spread of epidemics in finite populations

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dc.contributor.authorGourley, Kieran
dc.date.accessioned2015-02-04T20:24:57Z
dc.date.available2015-02-04T20:24:57Z
dc.date.issued2008en
dc.description.abstractIn this paper we create a new model of disease transmission that combines a branching process from epidemiology with a geographic network structure. We present two versions of this geographic network model, the first is a simplified network model based on a 2-dimensional regular lattice. While the second is a more complex network structure with long distance connections. We present a series of numerical results from our two models and find that for the 2D lattice that the proportion of the total population infected by a disease depends strongly on the total population size. In the long distance model there is no such dependence and we find that two infection states exist; either a large proportion of the population is infected or only a small proportion of the population is infected.en
dc.identifier.urihttp://hdl.handle.net/10092/10105
dc.language.isoen
dc.publisherUniversity of Canterbury. Mathematics and Statisticsen
dc.relation.isreferencedbyNZCUen
dc.rightsCopyright Kieran Gourleyen
dc.rights.urihttps://canterbury.libguides.com/rights/thesesen
dc.subject.anzsrcField of Research::01 - Mathematical Sciences::0102 - Applied Mathematicsen
dc.titleThe effects of network structure and geography on the spread of epidemics in finite populationsen
thesis.degree.grantorUniversity of Canterburyen
thesis.degree.levelBachelors with Honoursen
thesis.degree.nameBachelor of Science with Honoursen
uc.collegeFaculty of Engineeringen
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