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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. doi:10.1098/rsif.2010.0179 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 | ||||
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Subjects: | Q Science > QA Mathematics R Medicine > RA Public aspects of medicine |
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Divisions: | Faculty of Science, Engineering and Medicine > Science > Life Sciences (2010- ) > Biological Sciences ( -2010) Faculty of Science, Engineering and Medicine > Science > Life Sciences (2010- ) Faculty of Science, Engineering and Medicine > Science > Mathematics |
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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 | ||||
Official Date: | 6 January 2011 | ||||
Dates: |
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Volume: | Vol.8 | ||||
Number: | No.54 | ||||
Number of Pages: | 7 | ||||
Page Range: | pp. 67-73 | ||||
DOI: | 10.1098/rsif.2010.0179 | ||||
Status: | Peer Reviewed | ||||
Publication Status: | Published | ||||
Access rights to Published version: | Open Access (Creative Commons) | ||||
Funder: | Engineering and Physical Sciences Research Council (EPSRC), Medical Research Council (Great Britain) (MRC) | ||||
Grant number: | EP/H016139/1 (EPSRC), G0701256 (MRC) |
Data sourced from Thomson Reuters' Web of Knowledge
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