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A motif-based approach to network epidemics
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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. doi:10.1007/s11538-009-9420-z ISSN 0092-8240.
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Official URL: http://dx.doi.org/10.1007/s11538-009-9420-z
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 | ||||
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Subjects: | Q Science > QA Mathematics H Social Sciences > HA Statistics 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 > Mathematics |
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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 | ||||
Official Date: | October 2009 | ||||
Dates: |
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Volume: | Vol.71 | ||||
Number: | No.7 | ||||
Page Range: | pp. 1693-1706 | ||||
DOI: | 10.1007/s11538-009-9420-z | ||||
Status: | Peer Reviewed | ||||
Access rights to Published version: | Open Access (Creative Commons) |
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