Assortativity and the Probability of Epidemic Extinction: A Case Study of Pandemic Influenza A (H1N1-2009)

Unlike local transmission of pandemic influenza A (H1N1-2009), which was frequently driven by school children, most cases identified in long-distance intranational and international travelers have been adults. The present study examines the relationship between the probability of temporary extinctio...

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Main Authors: Hiroshi Nishiura, Alex R. Cook, Benjamin J. Cowling
Format: Article
Language:English
Published: Wiley 2011-01-01
Series:Interdisciplinary Perspectives on Infectious Diseases
Online Access:http://dx.doi.org/10.1155/2011/194507
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author Hiroshi Nishiura
Alex R. Cook
Benjamin J. Cowling
author_facet Hiroshi Nishiura
Alex R. Cook
Benjamin J. Cowling
author_sort Hiroshi Nishiura
collection DOAJ
description Unlike local transmission of pandemic influenza A (H1N1-2009), which was frequently driven by school children, most cases identified in long-distance intranational and international travelers have been adults. The present study examines the relationship between the probability of temporary extinction and the age-dependent next-generation matrix, focusing on the impact of assortativity. Preferred mixing captures as a good approximation the assortativity of a heterogeneously mixing population. We show that the contribution of a nonmaintenance host (i.e., a host type which cannot sustain transmission on its own) to the risk of a major epidemic is greatly diminished as mixing patterns become more assortative, and in such a scenario, a higher proportion of non-maintenance hosts among index cases elevates the probability of extinction. Despite the presence of various other epidemiological factors that undoubtedly influenced the delay between first importations and the subsequent epidemic, these results suggest that the dominance of adults among imported cases represents one of the possible factors explaining the delays in geographic spread observed during the recent pandemic.
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spelling doaj-art-52ad451c967948489c190bd017b234732025-02-03T05:57:39ZengWileyInterdisciplinary Perspectives on Infectious Diseases1687-708X1687-70982011-01-01201110.1155/2011/194507194507Assortativity and the Probability of Epidemic Extinction: A Case Study of Pandemic Influenza A (H1N1-2009)Hiroshi Nishiura0Alex R. Cook1Benjamin J. Cowling2PRESTO, Japan Science and Technology Agency, Saitama 332-0012, JapanDepartment of Statistics and Applied Probability, National University of Singapore, 117546, SingaporeSchool of Public Health, The University of Hong Kong, Hong Kong Special Administrative Region, Hong KongUnlike local transmission of pandemic influenza A (H1N1-2009), which was frequently driven by school children, most cases identified in long-distance intranational and international travelers have been adults. The present study examines the relationship between the probability of temporary extinction and the age-dependent next-generation matrix, focusing on the impact of assortativity. Preferred mixing captures as a good approximation the assortativity of a heterogeneously mixing population. We show that the contribution of a nonmaintenance host (i.e., a host type which cannot sustain transmission on its own) to the risk of a major epidemic is greatly diminished as mixing patterns become more assortative, and in such a scenario, a higher proportion of non-maintenance hosts among index cases elevates the probability of extinction. Despite the presence of various other epidemiological factors that undoubtedly influenced the delay between first importations and the subsequent epidemic, these results suggest that the dominance of adults among imported cases represents one of the possible factors explaining the delays in geographic spread observed during the recent pandemic.http://dx.doi.org/10.1155/2011/194507
spellingShingle Hiroshi Nishiura
Alex R. Cook
Benjamin J. Cowling
Assortativity and the Probability of Epidemic Extinction: A Case Study of Pandemic Influenza A (H1N1-2009)
Interdisciplinary Perspectives on Infectious Diseases
title Assortativity and the Probability of Epidemic Extinction: A Case Study of Pandemic Influenza A (H1N1-2009)
title_full Assortativity and the Probability of Epidemic Extinction: A Case Study of Pandemic Influenza A (H1N1-2009)
title_fullStr Assortativity and the Probability of Epidemic Extinction: A Case Study of Pandemic Influenza A (H1N1-2009)
title_full_unstemmed Assortativity and the Probability of Epidemic Extinction: A Case Study of Pandemic Influenza A (H1N1-2009)
title_short Assortativity and the Probability of Epidemic Extinction: A Case Study of Pandemic Influenza A (H1N1-2009)
title_sort assortativity and the probability of epidemic extinction a case study of pandemic influenza a h1n1 2009
url http://dx.doi.org/10.1155/2011/194507
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