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From subcritical behavior to a correlation-induced transition in rumor models

Author

Listed:
  • Guilherme Ferraz de Arruda

    (ISI Foundation)

  • Lucas G. S. Jeub

    (ISI Foundation)

  • Angélica S. Mata

    (Universidade Federal de Lavras)

  • Francisco A. Rodrigues

    (Universidade de São Paulo - Campus de São Carlos)

  • Yamir Moreno

    (ISI Foundation
    University of Zaragoza
    University of Zaragoza)

Abstract

Rumors and information spreading emerge naturally from human-to-human interactions and have a growing impact on our everyday life due to increasing and faster access to information, whether trustworthy or not. A popular mathematical model for spreading rumors, data, or news is the Maki–Thompson model. Mean-field approximations suggested that this model does not have a phase transition, with rumors always reaching a fraction of the population. Conversely, here, we show that a continuous phase transition is present in this model. Moreover, we explore a modified version of the Maki–Thompson model that includes a forgetting mechanism, changing the Markov chain’s nature and allowing us to use a plethora of analytic and numeric methods. Particularly, we characterize the subcritical behavior, where the lifespan of a rumor increases as the spreading rate drops, following a power-law relationship. Our findings show that the dynamic behavior of rumor models is much richer than shown in previous investigations.

Suggested Citation

  • Guilherme Ferraz de Arruda & Lucas G. S. Jeub & Angélica S. Mata & Francisco A. Rodrigues & Yamir Moreno, 2022. "From subcritical behavior to a correlation-induced transition in rumor models," Nature Communications, Nature, vol. 13(1), pages 1-10, December.
    • Handle: RePEc:nat:natcom:v:13:y:2022:i:1:d:10.1038_s41467-022-30683-z
    DOI: 10.1038/s41467-022-30683-z
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    References listed on IDEAS

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    Cited by:

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