Dynamics of social contagions with local trend imitation

Thumbnail
License
© The Author(s) 2018. Open Access. This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons license, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons license and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this license, visit http://creativecommons.org/licenses/by/4.0/.
Date Issued
2018-05-09
Publisher Version
10.1038/s41598-018-25006-6
Author(s)
Zhu, Xuzhen
Wang, Wei
Cai, Shimin
Stanley, H. Eugene
Share to FacebookShare to TwitterShare by Email
Export Citation
Metadata
Show full item record
Permanent Link
https://hdl.handle.net/2144/39577
Version
Published version
Citation (published version)
Xuzhen Zhu, Wei Wang, Shimin Cai, H Eugene Stanley. 2018. "Dynamics of social contagions with local trend imitation." Scientific Reports, Volume 8. https://doi.org/10.1038/s41598-018-25006-6
Abstract
Research on social contagion dynamics has not yet included a theoretical analysis of the ubiquitous local trend imitation (LTI) characteristic. We propose a social contagion model with a tent-like adoption probability to investigate the efect of this LTI characteristic on behavior spreading. We also propose a generalized edge-based compartmental theory to describe the proposed model. Through extensive numerical simulations and theoretical analyses, we fnd a crossover in the phase transition: when the LTI capacity is strong, the growth of the fnal adoption size exhibits a second-order phase transition. When the LTI capacity is weak, we see a frst-order phase transition. For a given behavioral information transmission probability, there is an optimal LTI capacity that maximizes the fnal adoption size. Finally we fnd that the above phenomena are not qualitatively afected by the heterogeneous degree distribution. Our suggested theoretical predictions agree with the simulation results.
Rights
© The Author(s) 2018. Open Access. This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons license, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons license and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this license, visit http://creativecommons.org/licenses/by/4.0/.
Collections