A survey of epidemiological modeling on networks and investigation of the relationship between the fraction of epidemics that take-off and the endemic level in a network

Selbach-Allen, Megan A survey of epidemiological modeling on networks and investigation of the relationship between the fraction of epidemics that take-off and the endemic level in a network. Master of Philosophy thesis, University of Liverpool.

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Abstract

The basic reproduction number, R0, is an important quantity in disease modelling. While it is well defined for mean field models it is not easily defined on network models. This work involves a literature review for disease modeling in general and networks upon which diseases are modelled. It concludes with an investigation into estimating R0 on a network based upon equivalent quantities, the fraction of epidemics that take-off and endemic level, from the mean-field model. The results show a clear correlation in homogeneous networks, but the relationship is not clear for asymmetric, heterogeneous systems.

Item Type:	Thesis (Master of Philosophy)
Additional Information:	Date: 2013-04 (completed)
Divisions:	Faculty of Science and Engineering > School of Physical Sciences > Mathematical Sciences
Depositing User:	Symplectic Admin
Date Deposited:	03 Sep 2013 10:35
Last Modified:	16 Dec 2022 04:38
DOI:	10.17638/00010633
Supervisors:	Sharkey, Kieran
URI:	https://livrepository.liverpool.ac.uk/id/eprint/10633