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Cascade dynamics of complex propagation

Author

Listed:
  • Centola, Damon
  • Eguíluz, Víctor M.
  • Macy, Michael W.

Abstract

Random links between otherwise distant nodes can greatly facilitate the propagation of disease or information, provided contagion can be transmitted by a single active node. However, we show that when the propagation requires simultaneous exposure to multiple sources of activation, called complex propagation, the effect of random links can be just the opposite; it can make the propagation more difficult to achieve. We numerically calculate critical points for a threshold model using several classes of complex networks, including an empirical social network. We also provide an estimation of the critical values in terms of vulnerable nodes.

Suggested Citation

  • Centola, Damon & Eguíluz, Víctor M. & Macy, Michael W., 2007. "Cascade dynamics of complex propagation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 374(1), pages 449-456.
    • Handle: RePEc:eee:phsmap:v:374:y:2007:i:1:p:449-456
    DOI: 10.1016/j.physa.2006.06.018
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    Cited by:

    1. Petr Matous, 2023. "Male and stale? Questioning the role of “opinion leaders” in agricultural programs," Agriculture and Human Values, Springer;The Agriculture, Food, & Human Values Society (AFHVS), vol. 40(3), pages 1205-1220, September.
    2. MacFarlane, Douglas & Hurlstone, Mark J. & Ecker, Ullrich K.H., 2020. "Protecting consumers from fraudulent health claims: A taxonomy of psychological drivers, interventions, barriers, and treatments," Social Science & Medicine, Elsevier, vol. 259(C).
    3. Nie, Yanyi & Zhong, Xiaoni & Lin, Tao & Wang, Wei, 2022. "Homophily in competing behavior spreading among the heterogeneous population with higher-order interactions," Applied Mathematics and Computation, Elsevier, vol. 432(C).
    4. Cui, Yajuan & Wei, Ruichen & Tian, Yang & Tian, Hui & Zhu, Xuzhen, 2022. "Information propagation influenced by individual fashion-passion trend on multi-layer weighted network," Chaos, Solitons & Fractals, Elsevier, vol. 160(C).
    5. Jean M Carlson & David L Alderson & Sean P Stromberg & Danielle S Bassett & Emily M Craparo & Francisco Guiterrez-Villarreal & Thomas Otani, 2014. "Measuring and Modeling Behavioral Decision Dynamics in Collective Evacuation," PLOS ONE, Public Library of Science, vol. 9(2), pages 1-17, February.
    6. Karimi, Fariba & Holme, Petter, 2013. "Threshold model of cascades in empirical temporal networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(16), pages 3476-3483.
    7. Kamau Joram Ngugi, 2018. "Social Networks Stimuli - A Double Dekker Semi-Partialling Multiple Regression Quadratic Assigment Procedure (Mrqap) Approach - Case of Small-Scale Farmers in Kenya," Biomedical Journal of Scientific & Technical Research, Biomedical Research Network+, LLC, vol. 11(4), pages 8716-8719, December.
    8. Kooij, Robert E. & Sørensen, Nikolaj Horsevad & Bouffanais, Roland, 2021. "Tuning the clustering coefficient of generalized circulant networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 578(C).
    9. Côme Billard & Anna Creti & Antoine Mandel, 2020. "How Environmental Policies Spread? A Network Approach to Diffusion in the U.S," Working Papers 2020.12, FAERE - French Association of Environmental and Resource Economists.
    10. Goel, Rahul & Singh, Anurag & Ghanbarnejad, Fakhteh, 2019. "Modeling Competitive Marketing Strategies in Social Networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 518(C), pages 50-70.
    11. Christos Ellinas & Neil Allan & Anders Johansson, 2016. "Exploring Structural Patterns Across Evolved and Designed Systems: A Network Perspective," Systems Engineering, John Wiley & Sons, vol. 19(3), pages 179-192, May.
    12. Côme Billard, 2020. "Technology Contagion in Networks," Working Papers 2020.01, FAERE - French Association of Environmental and Resource Economists.
    13. Damon M. Centola, 2013. "Homophily, networks, and critical mass: Solving the start-up problem in large group collective action," Rationality and Society, , vol. 25(1), pages 3-40, February.
    14. Solmaria Halleck Vega & Antoine Mandel, 2017. "A network-based approach to technology transfers in the context of climate policy," Documents de travail du Centre d'Economie de la Sorbonne 17009, Université Panthéon-Sorbonne (Paris 1), Centre d'Economie de la Sorbonne.
    15. Xu, Jinghong & Zhang, Lin & Ma, Baojun & Wu, Ye, 2016. "Impacts of suppressing guide on information spreading," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 444(C), pages 922-927.
    16. Haydée Lugo & Maxi San Miguel, 2014. "Learning and coordinating in a multilayer network," Documentos de Trabajo del ICAE 2014-30, Universidad Complutense de Madrid, Facultad de Ciencias Económicas y Empresariales, Instituto Complutense de Análisis Económico.
    17. Yang, Qiwen & Zhu, Xuzhen & Tian, Yang & Wang, Guanglu & Zhang, Yuexia & Chen, Lei, 2021. "The influence of heterogeneity of adoption thresholds on limited information spreading," Applied Mathematics and Computation, Elsevier, vol. 411(C).
    18. Teruyoshi Kobayashi, 2015. "Trend-driven information cascades on random networks," Discussion Papers 1529, Graduate School of Economics, Kobe University.
    19. Nikolaj Horsevad & David Mateo & Robert E. Kooij & Alain Barrat & Roland Bouffanais, 2022. "Transition from simple to complex contagion in collective decision-making," Nature Communications, Nature, vol. 13(1), pages 1-10, December.
    20. Lambiotte, R. & Panzarasa, P., 2009. "Communities, knowledge creation, and information diffusion," Journal of Informetrics, Elsevier, vol. 3(3), pages 180-190.

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    Keywords

    Sociophysics;

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