A dynamic power-law sexual network model of gonorrhoea outbreaks.

Human networks of sexual contacts are dynamic by nature, with partnerships forming and breaking continuously over time. Sexual behaviours are also highly heterogeneous, so that the number of partners reported by individuals over a given period of time is typically distributed as a power-law. Both th...

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Main Authors: Lilith K Whittles, Peter J White, Xavier Didelot
Format: Article
Language:English
Published: Public Library of Science (PLoS) 2019-03-01
Series:PLoS Computational Biology
Online Access:https://doi.org/10.1371/journal.pcbi.1006748
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author Lilith K Whittles
Peter J White
Xavier Didelot
author_facet Lilith K Whittles
Peter J White
Xavier Didelot
author_sort Lilith K Whittles
collection DOAJ
description Human networks of sexual contacts are dynamic by nature, with partnerships forming and breaking continuously over time. Sexual behaviours are also highly heterogeneous, so that the number of partners reported by individuals over a given period of time is typically distributed as a power-law. Both the dynamism and heterogeneity of sexual partnerships are likely to have an effect in the patterns of spread of sexually transmitted diseases. To represent these two fundamental properties of sexual networks, we developed a stochastic process of dynamic partnership formation and dissolution, which results in power-law numbers of partners over time. Model parameters can be set to produce realistic conditions in terms of the exponent of the power-law distribution, of the number of individuals without relationships and of the average duration of relationships. Using an outbreak of antibiotic resistant gonorrhoea amongst men have sex with men as a case study, we show that our realistic dynamic network exhibits different properties compared to the frequently used static networks or homogeneous mixing models. We also consider an approximation to our dynamic network model in terms of a much simpler branching process. We estimate the parameters of the generation time distribution and offspring distribution which can be used for example in the context of outbreak reconstruction based on genomic data. Finally, we investigate the impact of a range of interventions against gonorrhoea, including increased condom use, more frequent screening and immunisation, concluding that the latter shows great promise to reduce the burden of gonorrhoea, even if the vaccine was only partially effective or applied to only a random subset of the population.
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spelling doaj.art-e4c9f21606f14d21b25ba8dc0ace4fb22022-12-22T04:06:49ZengPublic Library of Science (PLoS)PLoS Computational Biology1553-734X1553-73582019-03-01153e100674810.1371/journal.pcbi.1006748A dynamic power-law sexual network model of gonorrhoea outbreaks.Lilith K WhittlesPeter J WhiteXavier DidelotHuman networks of sexual contacts are dynamic by nature, with partnerships forming and breaking continuously over time. Sexual behaviours are also highly heterogeneous, so that the number of partners reported by individuals over a given period of time is typically distributed as a power-law. Both the dynamism and heterogeneity of sexual partnerships are likely to have an effect in the patterns of spread of sexually transmitted diseases. To represent these two fundamental properties of sexual networks, we developed a stochastic process of dynamic partnership formation and dissolution, which results in power-law numbers of partners over time. Model parameters can be set to produce realistic conditions in terms of the exponent of the power-law distribution, of the number of individuals without relationships and of the average duration of relationships. Using an outbreak of antibiotic resistant gonorrhoea amongst men have sex with men as a case study, we show that our realistic dynamic network exhibits different properties compared to the frequently used static networks or homogeneous mixing models. We also consider an approximation to our dynamic network model in terms of a much simpler branching process. We estimate the parameters of the generation time distribution and offspring distribution which can be used for example in the context of outbreak reconstruction based on genomic data. Finally, we investigate the impact of a range of interventions against gonorrhoea, including increased condom use, more frequent screening and immunisation, concluding that the latter shows great promise to reduce the burden of gonorrhoea, even if the vaccine was only partially effective or applied to only a random subset of the population.https://doi.org/10.1371/journal.pcbi.1006748
spellingShingle Lilith K Whittles
Peter J White
Xavier Didelot
A dynamic power-law sexual network model of gonorrhoea outbreaks.
PLoS Computational Biology
title A dynamic power-law sexual network model of gonorrhoea outbreaks.
title_full A dynamic power-law sexual network model of gonorrhoea outbreaks.
title_fullStr A dynamic power-law sexual network model of gonorrhoea outbreaks.
title_full_unstemmed A dynamic power-law sexual network model of gonorrhoea outbreaks.
title_short A dynamic power-law sexual network model of gonorrhoea outbreaks.
title_sort dynamic power law sexual network model of gonorrhoea outbreaks
url https://doi.org/10.1371/journal.pcbi.1006748
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