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

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Thesis discipline
Degree name
Bachelor of Science with Honours
Publisher
University of Canterbury. Mathematics and Statistics
Journal Title
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Volume Title
Language
Date
2008
Authors
Gourley, Kieran
Abstract

In 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.

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Ngā upoko tukutuku/Māori subject headings
ANZSRC fields of research
Field of Research::01 - Mathematical Sciences::0102 - Applied Mathematics
Rights
Copyright Kieran Gourley