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Insights from unifying modern approximations to infections on networks

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House, Thomas A. and Keeling, Matthew James. (2011) Insights from unifying modern approximations to infections on networks. Journal of the Royal Society. Interface, Vol.8 (No.54). pp. 67-73. ISSN 1742-5689

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Official URL: http://dx.doi.org/10.1098/rsif.2010.0179

Abstract

Networks are increasingly central to modern science owing to their ability to conceptualize multiple interacting components of a complex system. As a specific example of this, understanding the implications of contact network structure for the transmission of infectious diseases remains a key issue in epidemiology. Three broad approaches to this problem exist: explicit simulation; derivation of exact results for special networks; and dynamical approximations. This paper focuses on the last of these approaches, and makes two main contributions. Firstly, formal mathematical links are demonstrated between several prima facie unrelated dynamical approximations. And secondly, these links are used to derive two novel dynamical models for network epidemiology, which are compared against explicit stochastic simulation. The success of these new models provides improved understanding about the interaction of network structure and transmission dynamics.

Item Type:	Journal Article
Subjects:	Q Science > QA Mathematics R Medicine > RA Public aspects of medicine
Divisions:	Faculty of Science > Life Sciences (2010- ) > Biological Sciences ( -2010) Faculty of Science > Life Sciences (2010- ) Faculty of Science > Mathematics
Library of Congress Subject Headings (LCSH):	Social sciences -- Network analysis, System analysis, Communicable diseases -- Transmission -- Mathematical models, Dynamic programming
Journal or Publication Title:	Journal of the Royal Society. Interface
Publisher:	The Royal Society Publishing
ISSN:	1742-5689
Date:	6 January 2011
Volume:	Vol.8
Number:	No.54
Number of Pages:	7
Page Range:	pp. 67-73
Identification Number:	10.1098/rsif.2010.0179
Status:	Peer Reviewed
Publication Status:	Published
Access rights to Published version:	Open Access
Funder:	Engineering and Physical Sciences Research Council (EPSRC), Medical Research Council (Great Britain) (MRC)
Grant number:	EP/H016139/1 (EPSRC), G0701256 (MRC)
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URI:	http://wrap.warwick.ac.uk/id/eprint/4225