The effects of network structure and geography on the spread of epidemics in finite populations
Degree GrantorUniversity of Canterbury
Degree NameBachelor of Science with Honours
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.
SubjectsField of Research::01 - Mathematical Sciences::0102 - Applied Mathematics
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