## 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 UK Tel: +44 (0) 115 951 4949 Fax: +44 (0) 115 951 4951 |