Complex Social Contagions on Weighted Networks Considering Adoption Threshold Heterogeneity
Many real-world phenomena can be described as complex contagions, which has attracted much attention in the field of network science. However, the effects of the heterogeneous adoption thresholds on complex contagions in weighted networks have not been systematically investigated. In this paper, we...
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doaj-85e4842f0d264d51a4f12b55160b24802021-03-30T03:07:25ZengIEEEIEEE Access2169-35362020-01-018619056191410.1109/ACCESS.2020.29846159051808Complex Social Contagions on Weighted Networks Considering Adoption Threshold HeterogeneityJiazhi Ren0https://orcid.org/0000-0001-7093-0703Qiwen Yang1Yuxiao Zhu2Xuzhen Zhu3https://orcid.org/0000-0002-9159-6844Hui Tian4https://orcid.org/0000-0001-8876-1389Wei Wang5https://orcid.org/0000-0003-4088-5395Shimin Cai6https://orcid.org/0000-0002-2089-5150State Key Laboratory of Networking and Switching Technology, Beijing University of Posts and Telecommunications, Beijing, ChinaState Key Laboratory of Networking and Switching Technology, Beijing University of Posts and Telecommunications, Beijing, ChinaSchool of Management, Guangdong University of Technology, Guangzhou, ChinaState Key Laboratory of Networking and Switching Technology, Beijing University of Posts and Telecommunications, Beijing, ChinaState Key Laboratory of Networking and Switching Technology, Beijing University of Posts and Telecommunications, Beijing, ChinaCybersecurity Research Institute, Sichuan University, Chengdu, ChinaWeb Sciences Center, School of Computer Science and Engineering, University of Electronic Science and Technology of China, Chengdu, ChinaMany real-world phenomena can be described as complex contagions, which has attracted much attention in the field of network science. However, the effects of the heterogeneous adoption thresholds on complex contagions in weighted networks have not been systematically investigated. In this paper, we propose a heterogeneous complex contagion model on the weighted network, in which individuals have different adoption thresholds. For individuals with a relatively small adoption threshold, they are more likely to adopt the contagion and act as activists. An edge-weight based compartmental theory is developed to unveil spreading dynamics. Through extensive numerical simulations and theoretical analysis, we find that, for any weight distribution heterogeneity, with the increase of the activist fraction, the growth pattern of the final adoption size versus the information spreading probability changes from hybrid phase transition to a second-order continuous phase transition. Meanwhile, increasing the activist fraction can promote behavior spreading. Through bifurcation analysis, we discover that changing the heterogeneity of the weight distribution will not change the type of phase transition. Besides, reducing weight distribution heterogeneity can facilitate behavior spreading. Extensive numerical simulations verify that the theoretical solutions coincide with the numerical results very well.https://ieeexplore.ieee.org/document/9051808/Complex contagionsheterogeneous adoptionweighted networksthreshold modelcompartmental theory |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Jiazhi Ren Qiwen Yang Yuxiao Zhu Xuzhen Zhu Hui Tian Wei Wang Shimin Cai |
spellingShingle |
Jiazhi Ren Qiwen Yang Yuxiao Zhu Xuzhen Zhu Hui Tian Wei Wang Shimin Cai Complex Social Contagions on Weighted Networks Considering Adoption Threshold Heterogeneity IEEE Access Complex contagions heterogeneous adoption weighted networks threshold model compartmental theory |
author_facet |
Jiazhi Ren Qiwen Yang Yuxiao Zhu Xuzhen Zhu Hui Tian Wei Wang Shimin Cai |
author_sort |
Jiazhi Ren |
title |
Complex Social Contagions on Weighted Networks Considering Adoption Threshold Heterogeneity |
title_short |
Complex Social Contagions on Weighted Networks Considering Adoption Threshold Heterogeneity |
title_full |
Complex Social Contagions on Weighted Networks Considering Adoption Threshold Heterogeneity |
title_fullStr |
Complex Social Contagions on Weighted Networks Considering Adoption Threshold Heterogeneity |
title_full_unstemmed |
Complex Social Contagions on Weighted Networks Considering Adoption Threshold Heterogeneity |
title_sort |
complex social contagions on weighted networks considering adoption threshold heterogeneity |
publisher |
IEEE |
series |
IEEE Access |
issn |
2169-3536 |
publishDate |
2020-01-01 |
description |
Many real-world phenomena can be described as complex contagions, which has attracted much attention in the field of network science. However, the effects of the heterogeneous adoption thresholds on complex contagions in weighted networks have not been systematically investigated. In this paper, we propose a heterogeneous complex contagion model on the weighted network, in which individuals have different adoption thresholds. For individuals with a relatively small adoption threshold, they are more likely to adopt the contagion and act as activists. An edge-weight based compartmental theory is developed to unveil spreading dynamics. Through extensive numerical simulations and theoretical analysis, we find that, for any weight distribution heterogeneity, with the increase of the activist fraction, the growth pattern of the final adoption size versus the information spreading probability changes from hybrid phase transition to a second-order continuous phase transition. Meanwhile, increasing the activist fraction can promote behavior spreading. Through bifurcation analysis, we discover that changing the heterogeneity of the weight distribution will not change the type of phase transition. Besides, reducing weight distribution heterogeneity can facilitate behavior spreading. Extensive numerical simulations verify that the theoretical solutions coincide with the numerical results very well. |
topic |
Complex contagions heterogeneous adoption weighted networks threshold model compartmental theory |
url |
https://ieeexplore.ieee.org/document/9051808/ |
work_keys_str_mv |
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1724183993281150976 |