MathsNet: Research Student Directory

Name Davis, Benjamin
Group Statistics and Probability
Room B16, Math Sci
Telephone +44 (0) 115 95 14935 [direct dial]
Thesis Title Epidemics on random networks
Thesis Abstract There has been considerable recent interest in models for epidemics on networks describing social contacts. This project considers a stochastic SIR (Susceptible - Infective - Removed) model for the spread of an epidemic among a population of individuals, with a random network of social contacts, that is partitioned into households, in which individuals also make casual contacts, i.e. with people chosen uniformly at random from the population. The behaviour of the model as the population tends to infinity is investigated. A threshold parameter that governs whether or not the epidemic with an initial infective can become established is obtained, as is the probability that such an outbreak occurs and if so, how large it will become. The behaviour of this model is then compared to that of a finite population using Monte Carlo simulations. The effect of the different transmission routes on the final outcome of an epidemic are investigated, as are the performances of various vaccination strategies.
School contact information School of Mathematical Sciences
University of Nottingham
University Park
Nottingham, NG7 2RD
Tel: +44 (0) 115 951 4949
Fax: +44 (0) 115 951 4951