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Competing contagion processes: Complex contagion triggered by simple contagion

Empirical evidence reveals that contagion processes often occur with competition of simple and complex contagion, meaning that while some agents follow simple contagion, others follow complex contagion. Simple contagion refers to spreading processes induced by a single exposure to a contagious entit...

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Autores principales: Min, Byungjoon, San Miguel, Maxi
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Nature Publishing Group UK 2018
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6039514/
https://www.ncbi.nlm.nih.gov/pubmed/29991815
http://dx.doi.org/10.1038/s41598-018-28615-3
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author Min, Byungjoon
San Miguel, Maxi
author_facet Min, Byungjoon
San Miguel, Maxi
author_sort Min, Byungjoon
collection PubMed
description Empirical evidence reveals that contagion processes often occur with competition of simple and complex contagion, meaning that while some agents follow simple contagion, others follow complex contagion. Simple contagion refers to spreading processes induced by a single exposure to a contagious entity while complex contagion demands multiple exposures for transmission. Inspired by this observation, we propose a model of contagion dynamics with a transmission probability that initiates a process of complex contagion. With this probability nodes subject to simple contagion get adopted and trigger a process of complex contagion. We obtain a phase diagram in the parameter space of the transmission probability and the fraction of nodes subject to complex contagion. Our contagion model exhibits a rich variety of phase transitions such as continuous, discontinuous, and hybrid phase transitions, criticality, tricriticality, and double transitions. In particular, we find a double phase transition showing a continuous transition and a following discontinuous transition in the density of adopted nodes with respect to the transmission probability. We show that the double transition occurs with an intermediate phase in which nodes following simple contagion become adopted but nodes with complex contagion remain susceptible.
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spelling pubmed-60395142018-07-12 Competing contagion processes: Complex contagion triggered by simple contagion Min, Byungjoon San Miguel, Maxi Sci Rep Article Empirical evidence reveals that contagion processes often occur with competition of simple and complex contagion, meaning that while some agents follow simple contagion, others follow complex contagion. Simple contagion refers to spreading processes induced by a single exposure to a contagious entity while complex contagion demands multiple exposures for transmission. Inspired by this observation, we propose a model of contagion dynamics with a transmission probability that initiates a process of complex contagion. With this probability nodes subject to simple contagion get adopted and trigger a process of complex contagion. We obtain a phase diagram in the parameter space of the transmission probability and the fraction of nodes subject to complex contagion. Our contagion model exhibits a rich variety of phase transitions such as continuous, discontinuous, and hybrid phase transitions, criticality, tricriticality, and double transitions. In particular, we find a double phase transition showing a continuous transition and a following discontinuous transition in the density of adopted nodes with respect to the transmission probability. We show that the double transition occurs with an intermediate phase in which nodes following simple contagion become adopted but nodes with complex contagion remain susceptible. Nature Publishing Group UK 2018-07-10 /pmc/articles/PMC6039514/ /pubmed/29991815 http://dx.doi.org/10.1038/s41598-018-28615-3 Text en © 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/.
spellingShingle Article
Min, Byungjoon
San Miguel, Maxi
Competing contagion processes: Complex contagion triggered by simple contagion
title Competing contagion processes: Complex contagion triggered by simple contagion
title_full Competing contagion processes: Complex contagion triggered by simple contagion
title_fullStr Competing contagion processes: Complex contagion triggered by simple contagion
title_full_unstemmed Competing contagion processes: Complex contagion triggered by simple contagion
title_short Competing contagion processes: Complex contagion triggered by simple contagion
title_sort competing contagion processes: complex contagion triggered by simple contagion
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6039514/
https://www.ncbi.nlm.nih.gov/pubmed/29991815
http://dx.doi.org/10.1038/s41598-018-28615-3
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