Contagion Processes on Time-Varying Networks with Homophily-Driven Group Interactions

The complicated interaction patterns among heterogeneous individuals have a profound impact on the contagion process in the networks. In recent years, there has been increasing evidence for the emergence of many-body interactions between two or more nodes in a wide range of biological and social net...

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Main Authors: Li Ding, Ping Hu
Format: Article
Language:English
Published: Wiley 2019-01-01
Series:Complexity
Online Access:http://dx.doi.org/10.1155/2019/7130468
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author Li Ding
Ping Hu
author_facet Li Ding
Ping Hu
author_sort Li Ding
collection DOAJ
description The complicated interaction patterns among heterogeneous individuals have a profound impact on the contagion process in the networks. In recent years, there has been increasing evidence for the emergence of many-body interactions between two or more nodes in a wide range of biological and social networks. To encode these multinode interactions explicitly, the simplicial complex is now a popular alternative to simple networks. Meanwhile, the time-varying network has been acknowledged as a key ingredient of the contagion process. In this paper, we consider the connectivity pattern of networks affected by the homophily effect associated with individual attributes and investigate the impact of homophily-driven group interactions on the contagion process in temporal networks. The simplicial complex modeling framework is adopted to capture stochastic interactions between passively selected nodes in the paradigm of activity-driven networks. We study the evolution of infection and the epidemic threshold of the contagion process by both analytical and numerical methods. Our results on statistical topological properties of instantaneous network may shed light on accurately characterizing the evolution curve of infection. Furthermore, we show the impact of the homophily-driven interaction pattern on the epidemic threshold, which generalizes the existing results on both the paradigmatic activity-driven network and the simplicial activity-driven network.
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spelling doaj-art-22ed8b89dbf6403588bb185f83b0eb032025-08-20T02:04:27ZengWileyComplexity1076-27871099-05262019-01-01201910.1155/2019/71304687130468Contagion Processes on Time-Varying Networks with Homophily-Driven Group InteractionsLi Ding0Ping Hu1School of Electrical Engineering and Automation, Wuhan University, Wuhan 430072, ChinaSchool of Electrical Engineering and Automation, Wuhan University, Wuhan 430072, ChinaThe complicated interaction patterns among heterogeneous individuals have a profound impact on the contagion process in the networks. In recent years, there has been increasing evidence for the emergence of many-body interactions between two or more nodes in a wide range of biological and social networks. To encode these multinode interactions explicitly, the simplicial complex is now a popular alternative to simple networks. Meanwhile, the time-varying network has been acknowledged as a key ingredient of the contagion process. In this paper, we consider the connectivity pattern of networks affected by the homophily effect associated with individual attributes and investigate the impact of homophily-driven group interactions on the contagion process in temporal networks. The simplicial complex modeling framework is adopted to capture stochastic interactions between passively selected nodes in the paradigm of activity-driven networks. We study the evolution of infection and the epidemic threshold of the contagion process by both analytical and numerical methods. Our results on statistical topological properties of instantaneous network may shed light on accurately characterizing the evolution curve of infection. Furthermore, we show the impact of the homophily-driven interaction pattern on the epidemic threshold, which generalizes the existing results on both the paradigmatic activity-driven network and the simplicial activity-driven network.http://dx.doi.org/10.1155/2019/7130468
spellingShingle Li Ding
Ping Hu
Contagion Processes on Time-Varying Networks with Homophily-Driven Group Interactions
Complexity
title Contagion Processes on Time-Varying Networks with Homophily-Driven Group Interactions
title_full Contagion Processes on Time-Varying Networks with Homophily-Driven Group Interactions
title_fullStr Contagion Processes on Time-Varying Networks with Homophily-Driven Group Interactions
title_full_unstemmed Contagion Processes on Time-Varying Networks with Homophily-Driven Group Interactions
title_short Contagion Processes on Time-Varying Networks with Homophily-Driven Group Interactions
title_sort contagion processes on time varying networks with homophily driven group interactions
url http://dx.doi.org/10.1155/2019/7130468
work_keys_str_mv AT liding contagionprocessesontimevaryingnetworkswithhomophilydrivengroupinteractions
AT pinghu contagionprocessesontimevaryingnetworkswithhomophilydrivengroupinteractions