House, Thomas A., Davies, G. (Geoffrey), Danon, Leon and Keeling, Matthew James. (2009) A motif-based approach to network epidemics. Bulletin of Mathematical Biology, Vol.71 (No.7). pp. 1693-1706. ISSN 0092-8240

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Abstract

Networks have become an indispensable tool in modelling infectious diseases, with the structure of epidemiologically relevant contacts known to affect both the dynamics of the infection process and the efficacy of intervention strategies. One of the key reasons for this is the presence of clustering in contact networks, which is typically analysed in terms of prevalence of triangles in the network. We present a more general approach, based on the prevalence of different four-motifs, in the context of ODE approximations to network dynamics. This is shown to outperform existing models for a range of small world networks.

Item Type:	Journal Article
Subjects:	Q Science > QA Mathematics H Social Sciences > HA Statistics R Medicine > RA Public aspects of medicine
Divisions:	Faculty of Science > Life Sciences (2010- ) > Biological Sciences ( -2010) Faculty of Science > Mathematics
Library of Congress Subject Headings (LCSH):	Epidemics -- Mathematical models, Epidemiology -- Statistical methods, Paired comparisons (Statistics), Communicable diseases -- Mathematical models
Journal or Publication Title:	Bulletin of Mathematical Biology
Publisher:	Springer New York LLC
ISSN:	0092-8240
Date:	October 2009
Volume:	Vol.71
Number:	No.7
Page Range:	pp. 1693-1706
Identification Number:	10.1007/s11538-009-9420-z
Status:	Peer Reviewed
Access rights to Published version:	Open Access
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URI:	http://wrap.warwick.ac.uk/id/eprint/2426

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