Suppressing epidemic spreading in multiplex networks with social-support

Although suppressing the spread of a disease is usually achieved by investing in public resources, in the real world only a small percentage of the population have access to government assistance when there is an outbreak, and most must rely on resources from family or friends. We study the dynamics...

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Main Authors: Xiaolong Chen, Ruijie Wang, Ming Tang, Shimin Cai, H Eugene Stanley, Lidia A Braunstein
Format: Article
Language:English
Published: IOP Publishing 2018-01-01
Series:New Journal of Physics
Subjects:
Online Access:https://doi.org/10.1088/1367-2630/aa9cda
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author Xiaolong Chen
Ruijie Wang
Ming Tang
Shimin Cai
H Eugene Stanley
Lidia A Braunstein
author_facet Xiaolong Chen
Ruijie Wang
Ming Tang
Shimin Cai
H Eugene Stanley
Lidia A Braunstein
author_sort Xiaolong Chen
collection DOAJ
description Although suppressing the spread of a disease is usually achieved by investing in public resources, in the real world only a small percentage of the population have access to government assistance when there is an outbreak, and most must rely on resources from family or friends. We study the dynamics of disease spreading in social-contact multiplex networks when the recovery of infected nodes depends on resources from healthy neighbors in the social layer. We investigate how degree heterogeneity affects the spreading dynamics. Using theoretical analysis and simulations we find that degree heterogeneity promotes disease spreading. The phase transition of the infected density is hybrid and increases smoothly from zero to a finite small value at the first invasion threshold and then suddenly jumps at the second invasion threshold. We also find a hysteresis loop in the transition of the infected density. We further investigate how an overlap in the edges between two layers affects the spreading dynamics. We find that when the amount of overlap is smaller than a critical value the phase transition is hybrid and there is a hysteresis loop, otherwise the phase transition is continuous and the hysteresis loop vanishes. In addition, the edge overlap allows an epidemic outbreak when the transmission rate is below the first invasion threshold, but suppresses any explosive transition when the transmission rate is above the first invasion threshold.
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spelling doaj.art-5f032c36e8154a4a82d7ea686d0f9ecf2023-08-08T14:50:01ZengIOP PublishingNew Journal of Physics1367-26302018-01-0120101300710.1088/1367-2630/aa9cdaSuppressing epidemic spreading in multiplex networks with social-supportXiaolong Chen0Ruijie Wang1Ming Tang2Shimin Cai3H Eugene Stanley4Lidia A Braunstein5Web Sciences Center, University of Electronic Science and Technology of China , Chengdu 611731, People’s Republic of China; Institute of Fundamental and Frontier Science & Big Data Research Center, University of Electronic Science and Technology of China , Chengdu 610054, People’s Republic of ChinaWeb Sciences Center, University of Electronic Science and Technology of China , Chengdu 611731, People’s Republic of China; A Ba Teachers University , A Ba 623002, People’s Republic of ChinaWeb Sciences Center, University of Electronic Science and Technology of China , Chengdu 611731, People’s Republic of China; Institute of Fundamental and Frontier Science & Big Data Research Center, University of Electronic Science and Technology of China , Chengdu 610054, People’s Republic of China; School of Information Science Technology, East China Normal University , Shanghai 200241, People’s Republic of ChinaWeb Sciences Center, University of Electronic Science and Technology of China , Chengdu 611731, People’s Republic of China; Institute of Fundamental and Frontier Science & Big Data Research Center, University of Electronic Science and Technology of China , Chengdu 610054, People’s Republic of ChinaCenter for Polymer Studies and Department of Physics, Boston University , Boston, MA 02215, United States of AmericaInstituto de Investigaciones Físicas de Mar del Plata (IFIMAR)-Departamento de Física , Facultad de Ciencias Exactasy Naturales, Universidad Nacional de Mar del Plata-CONICET, Funes 3350, (7600) Mar del Plata, Argentina; Center for Polymer Studies and Department of Physics, Boston University , Boston, MA 02215, United States of AmericaAlthough suppressing the spread of a disease is usually achieved by investing in public resources, in the real world only a small percentage of the population have access to government assistance when there is an outbreak, and most must rely on resources from family or friends. We study the dynamics of disease spreading in social-contact multiplex networks when the recovery of infected nodes depends on resources from healthy neighbors in the social layer. We investigate how degree heterogeneity affects the spreading dynamics. Using theoretical analysis and simulations we find that degree heterogeneity promotes disease spreading. The phase transition of the infected density is hybrid and increases smoothly from zero to a finite small value at the first invasion threshold and then suddenly jumps at the second invasion threshold. We also find a hysteresis loop in the transition of the infected density. We further investigate how an overlap in the edges between two layers affects the spreading dynamics. We find that when the amount of overlap is smaller than a critical value the phase transition is hybrid and there is a hysteresis loop, otherwise the phase transition is continuous and the hysteresis loop vanishes. In addition, the edge overlap allows an epidemic outbreak when the transmission rate is below the first invasion threshold, but suppresses any explosive transition when the transmission rate is above the first invasion threshold.https://doi.org/10.1088/1367-2630/aa9cdamultiplex networksdisease spreadingresourcesphase transition89.75.Hc87.19.X-
spellingShingle Xiaolong Chen
Ruijie Wang
Ming Tang
Shimin Cai
H Eugene Stanley
Lidia A Braunstein
Suppressing epidemic spreading in multiplex networks with social-support
New Journal of Physics
multiplex networks
disease spreading
resources
phase transition
89.75.Hc
87.19.X-
title Suppressing epidemic spreading in multiplex networks with social-support
title_full Suppressing epidemic spreading in multiplex networks with social-support
title_fullStr Suppressing epidemic spreading in multiplex networks with social-support
title_full_unstemmed Suppressing epidemic spreading in multiplex networks with social-support
title_short Suppressing epidemic spreading in multiplex networks with social-support
title_sort suppressing epidemic spreading in multiplex networks with social support
topic multiplex networks
disease spreading
resources
phase transition
89.75.Hc
87.19.X-
url https://doi.org/10.1088/1367-2630/aa9cda
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AT shimincai suppressingepidemicspreadinginmultiplexnetworkswithsocialsupport
AT heugenestanley suppressingepidemicspreadinginmultiplexnetworkswithsocialsupport
AT lidiaabraunstein suppressingepidemicspreadinginmultiplexnetworkswithsocialsupport