PMID: 15245323Jul 13, 2004Paper

Universal behavior in a generalized model of contagion

Physical Review Letters
Peter S Dodds, D J Watts

Abstract

Models of contagion arise broadly in both the biological and the social sciences, with applications ranging from the transmission of infectious diseases to the spread of cultural fads. In this Letter, we introduce a general model of contagion which, by explicitly incorporating memory of past exposures to, for example, an infectious agent, rumor, or new product, includes the main features of existing contagion models and interpolates between them. We obtain exact solutions for a simple version of the model, finding that under general conditions only three classes of collective dynamics exist. Furthermore, we find that, for a given length of memory, the class into which a particular system falls is determined by only two parameters. Our model suggests novel measures for assessing the susceptibility of a population to large contagion events, and also a possible strategy for inhibiting or facilitating them.

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Citations

Mar 21, 2008·Proceedings of the National Academy of Sciences of the United States of America·David Liben-Nowell, Jon Kleinberg
Dec 17, 2009·Proceedings of the National Academy of Sciences of the United States of America·Sinan AralArun Sundararajan
Oct 13, 2010·Proceedings of the National Academy of Sciences of the United States of America·Jukka-Pekka Onnela, Felix Reed-Tsochas
Apr 5, 2012·Proceedings of the National Academy of Sciences of the United States of America·Johan UganderJon Kleinberg
Feb 18, 2011·Journal of the Royal Society, Interface·Thomas House
Jun 23, 2012·Science·Sinan Aral, Dylan Walker
Jan 24, 2008·PloS One·Frank Schweitzer, Robert Mach
Jul 30, 2014·PloS One·Yu-Xiao ZhuZi-Ke Zhang
Oct 24, 2014·Journal of the Royal Society, Interface·Márton KarsaiJános Kertész
Jul 1, 2009·Topics in Cognitive Science·Matthew J Salganik, Duncan J Watts
Dec 14, 2004·Journal of Theoretical Biology·P S Dodds, D J Watts
Nov 2, 2015·Chaos·Wei WangYi-Cheng Zhang
Jul 1, 2015·Frontiers in Psychology·James K Hazy, Richard E Boyatzis
May 6, 2014·Frontiers in Computational Neuroscience·Jules LallouetteHugues Berry
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Jan 29, 2016·Scientific Reports·J Gómez-GardeñesF J Pérez-Reche
Apr 1, 2016·Scientific Reports·Wei-Min HuangXinchu Fu
Aug 29, 2013·Scientific Reports·Lilian WengYong-Yeol Ahn
Aug 1, 2013·Scientific Reports·P SinghG Korniss
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Jun 18, 2017·Physical Review. E·Mian-Xin LiuHai-Feng Zhang
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Aug 17, 2018·Physical Review. E·Wonjun ChoiB Kahng
Oct 3, 2018·Scientific Reports·Byungjoon Min, Maxi San Miguel

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