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Rumour propagation: an operational research approach by computational and information theory

Author

Listed:
  • Burcu Gürbüz

    (Johannes Gutenberg-University Mainz
    Üsküdar University
    University of Nantes)

  • Herman Mawengkang

    (University of North Sumatra)

  • Ismail Husein

    (Universitas Islam Negeri Sumatera Utara Medan)

  • Gerhard-Wilhelm Weber

    (Poznan Technology University
    Middle East Technical University)

Abstract

Rumours are a kind of information that has a impact on social life and economies, which spread quickly and widely, especially, via internet. Recently, the spread of information affects our daily lives due to the increasing number of social media users. Rumours are defined in social areas which are delivered by gossips, fake news, marketing, social media all the way even to revolutions. In this paper, we study the dynamics of a rumour propagation model with a numerical approach. By using an algorithmic technique with an error analysis, the validity of the numerical technique is described. We investigate the model with this numerical approach to explain the dynamics of rumour propagation. Besides, we explain sensitivity analyses of the model of parameters. Then by numerical simulations efficiency of the technique is shown. Finally, the results are displayed and discussed with the help of figures and tables. The paper ends with a conclusion and an outlook to future studies.

Suggested Citation

  • Burcu Gürbüz & Herman Mawengkang & Ismail Husein & Gerhard-Wilhelm Weber, 2022. "Rumour propagation: an operational research approach by computational and information theory," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 30(1), pages 345-365, March.
    • Handle: RePEc:spr:cejnor:v:30:y:2022:i:1:d:10.1007_s10100-020-00727-0
    DOI: 10.1007/s10100-020-00727-0
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    References listed on IDEAS

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    1. Jari Lyytimäki & Henrik Gudmundsson & Claus Hedegaard Sørensen, 2014. "Russian Dolls and Chinese Whispers: Two Perspectives on the Unintended Effects of Sustainability Indicator Communication," Sustainable Development, John Wiley & Sons, Ltd., vol. 22(2), pages 84-94, March.
    2. Selma Belen & Erik Kropat & Gerhard-Wilhelm Weber, 2011. "On the classical Maki–Thompson rumour model in continuous time," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 19(1), pages 1-17, March.
    3. Aydin Secer & Neslihan Ozdemir & Mustafa Bayram, 2018. "A Hermite Polynomial Approach for Solving the SIR Model of Epidemics," Mathematics, MDPI, vol. 6(12), pages 1-11, December.
    4. Gebert, J. & Radde, N. & Weber, G.-W., 2007. "Modeling gene regulatory networks with piecewise linear differential equations," European Journal of Operational Research, Elsevier, vol. 181(3), pages 1148-1165, September.
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