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Social clustering in epidemic spread on coevolving networks

Even though transitivity is a central structural feature of social networks, its influence on epidemic spread on coevolving networks has remained relatively unexplored. Here we introduce and study an adaptive susceptible-infected-susceptible (SIS) epidemic model wherein the infection and network coe...

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Autores principales: Lee, Hsuan-Wei, Malik, Nishant, Shi, Feng, Mucha, Peter J.
Formato: Online Artículo Texto
Lenguaje:English
Publicado: American Physical Society 2019
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6790070/
https://www.ncbi.nlm.nih.gov/pubmed/31330685
http://dx.doi.org/10.1103/PhysRevE.99.062301
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author Lee, Hsuan-Wei
Malik, Nishant
Shi, Feng
Mucha, Peter J.
author_facet Lee, Hsuan-Wei
Malik, Nishant
Shi, Feng
Mucha, Peter J.
author_sort Lee, Hsuan-Wei
collection PubMed
description Even though transitivity is a central structural feature of social networks, its influence on epidemic spread on coevolving networks has remained relatively unexplored. Here we introduce and study an adaptive susceptible-infected-susceptible (SIS) epidemic model wherein the infection and network coevolve with nontrivial probability to close triangles during edge rewiring, leading to substantial reinforcement of network transitivity. This model provides an opportunity to study the role of transitivity in altering the SIS dynamics on a coevolving network. Using numerical simulations and approximate master equations (AMEs), we identify and examine a rich set of dynamical features in the model. In many cases, AMEs including transitivity reinforcement provide accurate predictions of stationary-state disease prevalence and network degree distributions. Furthermore, for some parameter settings, the AMEs accurately trace the temporal evolution of the system. We show that higher transitivity reinforcement in the model leads to lower levels of infective individuals in the population, when closing a triangle is the dominant rewiring mechanism. These methods and results may be useful in developing ideas and modeling strategies for controlling SIS-type epidemics.
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spelling pubmed-67900702019-12-01 Social clustering in epidemic spread on coevolving networks Lee, Hsuan-Wei Malik, Nishant Shi, Feng Mucha, Peter J. Phys Rev E Articles Even though transitivity is a central structural feature of social networks, its influence on epidemic spread on coevolving networks has remained relatively unexplored. Here we introduce and study an adaptive susceptible-infected-susceptible (SIS) epidemic model wherein the infection and network coevolve with nontrivial probability to close triangles during edge rewiring, leading to substantial reinforcement of network transitivity. This model provides an opportunity to study the role of transitivity in altering the SIS dynamics on a coevolving network. Using numerical simulations and approximate master equations (AMEs), we identify and examine a rich set of dynamical features in the model. In many cases, AMEs including transitivity reinforcement provide accurate predictions of stationary-state disease prevalence and network degree distributions. Furthermore, for some parameter settings, the AMEs accurately trace the temporal evolution of the system. We show that higher transitivity reinforcement in the model leads to lower levels of infective individuals in the population, when closing a triangle is the dominant rewiring mechanism. These methods and results may be useful in developing ideas and modeling strategies for controlling SIS-type epidemics. American Physical Society 2019-06-04 2019-06 /pmc/articles/PMC6790070/ /pubmed/31330685 http://dx.doi.org/10.1103/PhysRevE.99.062301 Text en ©2019 American Physical Society This article is made available via the PMC Open Access Subset for unrestricted re-use and analyses in any form or by any means with acknowledgement of the original source.
spellingShingle Articles
Lee, Hsuan-Wei
Malik, Nishant
Shi, Feng
Mucha, Peter J.
Social clustering in epidemic spread on coevolving networks
title Social clustering in epidemic spread on coevolving networks
title_full Social clustering in epidemic spread on coevolving networks
title_fullStr Social clustering in epidemic spread on coevolving networks
title_full_unstemmed Social clustering in epidemic spread on coevolving networks
title_short Social clustering in epidemic spread on coevolving networks
title_sort social clustering in epidemic spread on coevolving networks
topic Articles
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6790070/
https://www.ncbi.nlm.nih.gov/pubmed/31330685
http://dx.doi.org/10.1103/PhysRevE.99.062301
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