Dynamics of social contagions with local trend imitation
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 effect of this LTI characteristic on behavior spreadin...
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Nature Portfolio
2018
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oai:doaj.org-article:b4d0c173c5da4ca68672cb38ef5bbf672021-12-02T11:41:25ZDynamics of social contagions with local trend imitation10.1038/s41598-018-25006-62045-2322https://doaj.org/article/b4d0c173c5da4ca68672cb38ef5bbf672018-05-01T00:00:00Zhttps://doi.org/10.1038/s41598-018-25006-6https://doaj.org/toc/2045-2322Abstract 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 effect 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 find a crossover in the phase transition: when the LTI capacity is strong, the growth of the final adoption size exhibits a second-order phase transition. When the LTI capacity is weak, we see a first-order phase transition. For a given behavioral information transmission probability, there is an optimal LTI capacity that maximizes the final adoption size. Finally we find that the above phenomena are not qualitatively affected by the heterogeneous degree distribution. Our suggested theoretical predictions agree with the simulation results.Xuzhen ZhuWei WangShimin CaiH. Eugene StanleyNature PortfolioarticleMedicineRScienceQENScientific Reports, Vol 8, Iss 1, Pp 1-10 (2018) |
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Medicine R Science Q Xuzhen Zhu Wei Wang Shimin Cai H. Eugene Stanley Dynamics of social contagions with local trend imitation |
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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 effect 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 find a crossover in the phase transition: when the LTI capacity is strong, the growth of the final adoption size exhibits a second-order phase transition. When the LTI capacity is weak, we see a first-order phase transition. For a given behavioral information transmission probability, there is an optimal LTI capacity that maximizes the final adoption size. Finally we find that the above phenomena are not qualitatively affected by the heterogeneous degree distribution. Our suggested theoretical predictions agree with the simulation results. |
format |
article |
author |
Xuzhen Zhu Wei Wang Shimin Cai H. Eugene Stanley |
author_facet |
Xuzhen Zhu Wei Wang Shimin Cai H. Eugene Stanley |
author_sort |
Xuzhen Zhu |
title |
Dynamics of social contagions with local trend imitation |
title_short |
Dynamics of social contagions with local trend imitation |
title_full |
Dynamics of social contagions with local trend imitation |
title_fullStr |
Dynamics of social contagions with local trend imitation |
title_full_unstemmed |
Dynamics of social contagions with local trend imitation |
title_sort |
dynamics of social contagions with local trend imitation |
publisher |
Nature Portfolio |
publishDate |
2018 |
url |
https://doaj.org/article/b4d0c173c5da4ca68672cb38ef5bbf67 |
work_keys_str_mv |
AT xuzhenzhu dynamicsofsocialcontagionswithlocaltrendimitation AT weiwang dynamicsofsocialcontagionswithlocaltrendimitation AT shimincai dynamicsofsocialcontagionswithlocaltrendimitation AT heugenestanley dynamicsofsocialcontagionswithlocaltrendimitation |
_version_ |
1718395421901979648 |