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Numerical investigation of a reaction-diffusion model used for rumor spreading in a ‘street’

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  • Feiyun Pei
  • Yamin Du

Abstract

In this paper, a reaction-diffusion model is proposed to describe the dynamics of rumor propagation among ignorant (who have not heard the rumor and are susceptible to be informed), spreader (who are spreading the rumor) and stifler (who know the rumor but that are no longer spreading it). The rumor is assumed to spread on a one-dimensional area called ‘street’. Numerical simulation is used to investigate the evolution of these three groups. The effects of the coefficients in this model, including the spreading rate α, decay rate β and self-diffusion coefficients (D1, D2 and D3), are discussed. Our conclusions have the potential to explain phenomena in financial markets, information dissemination, communication networks, replicated database maintenance and disease transmission.

Suggested Citation

  • Feiyun Pei & Yamin Du, 2026. "Numerical investigation of a reaction-diffusion model used for rumor spreading in a ‘street’," PLOS ONE, Public Library of Science, vol. 21(2), pages 1-11, February.
    • Handle: RePEc:plo:pone00:0339059
    DOI: 10.1371/journal.pone.0339059
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    References listed on IDEAS

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    1. Fan, Dongmei & Jiang, Guo-Ping & Song, Yu-Rong & Li, Yin-Wei, 2020. "Novel fake news spreading model with similarity on PSO-based networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 549(C).
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