The effect of clumped population structure on the variability of spreading dynamics

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Abstract

Processes that spread through local contact, including outbreaks of infectious diseases, are inherently noisy, and are frequently observed to be far noisier than predicted by standard stochastic models that assume homogeneous mixing. One way to reproduce the observed levels of noise is to introduce significant individual-level heterogeneity with respect to infection processes, such that some individuals are expected to generate more secondary cases than others. Here we consider a population where individuals can be naturally aggregated into clumps (subpopulations) with stronger interaction within clumps than between them. This clumped structure induces significant increases in the noisiness of a spreading process, such as the transmission of infection, despite complete homogeneity at the individual level. Given the ubiquity of such clumped aggregations (such as homes, schools and workplaces for humans or farms for livestock) we suggest this as a plausible explanation for noisiness of many epidemic time series.

Item Type: Journal Article
Subjects: Q Science > QA Mathematics
Q Science > QR Microbiology > QR180 Immunology
R Medicine > R Medicine (General)
Divisions: Faculty of Science, Engineering and Medicine > Science > Life Sciences (2010- )
Faculty of Science, Engineering and Medicine > Science > Mathematics
Faculty of Science, Engineering and Medicine > Medicine > Warwick Medical School
Library of Congress Subject Headings (LCSH): Epidemics, Communicable diseases, Markov processes, Decision making -- Mathematical models, Stochastic integrals
Journal or Publication Title: Journal of Theoretical Biology
Publisher: Elsevier
ISSN: 0022-5193
Official Date: October 2014
Dates:
Date
Event
October 2014
Published
UNSPECIFIED
Available
29 May 2014
Accepted
17 January 2014
Submitted
Volume: Volume 359
Page Range: pp. 45-53
DOI: 10.1016/j.jtbi.2014.05.042
Status: Peer Reviewed
Publication Status: Published
Access rights to Published version: Restricted or Subscription Access
Date of first compliant deposit: 27 December 2015
Date of first compliant Open Access: 27 December 2015
Funder: Australian Research Council (ARC), Engineering and Physical Sciences Research Council (EPSRC), Royal Society (Great Britain)
Grant number: DP110102893 (ARC)
URI: https://wrap.warwick.ac.uk/62714/

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