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## Departmental Colloquia

### Spring 2016

All seminars (unless otherwise stated) will take place on **Tuesdays at
3.00pm in ****Room 505 in the Mathematics Department **(25 Gordon Street). See see how to find us for further details. There will be tea afterwards in Maths Room 606. If
you require any more information on the Departmental Colloquia please
contact Prof Dima Vassiliev e-mail: d.vassiliev AT ucl.ac.uk or
tel:
020-7679-2442.

### 9 February 2016

#### Prof Malwina Luczak (Queen Mary, University of London)

###### Title: Long term and limiting behaviour of epidemics in large populations

Abstract:

Infectious diseases continue to pose a serious threat to public health. It is therefore important to understand how epidemics spread through populations, how the population structure influences the spread, and what disease control measures are effective.

A natural way to model population structure mathematically is through a network (graph) where the vertices of the graph represent individuals and edges represent potential infectious contacts. A natural way to represent dynamics of a disease spreading on the graph is by a Markov chain model .

In this lecture, we will discuss some examples of epidemic models, and what is known about their behaviour in large populations.

Page last modified on 25 jan 16 09:46