Simulating the propagation of rumours with spreaders of distinct characters

• Autorzy: Menció-Padrón Daniel , Bouza-Allende Gemayqzel

Identyfikatory

DOI

10.37190/ord230305

• Języki publikacji: EN

Abstrakty

EN

The occurrence of a disaster and the appearance of a new product are items of news that can reach many people rapidly. Decision-makers would like to know how many individuals will obtain such information. In this paper, we study the case in which there are spreaders who think that the news is true and others that claim it is false. We simulate the propagation of a rumour and propose an algorithm for estimating the parameters of the resulting dynamical system. The relation between the parameters defining the simulation and the dynamical system is also studied. We conclude that the simulation describes the phenomenon well, in particular when the method proposed in this paper is used to estimate the parameters.

Słowa kluczowe

EN

propagation; rumour; computer simulation; dynamical system; parameter estimation

• Wydawca: Oficyna Wydawnicza Politechniki Wrocławskiej
• Czasopismo: Operations Research and Decisions
• Rocznik: 2023
• Tom: Vol. 33, No. 3
• Strony: 75--87
• Opis fizyczny: Bibliogr. 14 poz., rys.

Twórcy

autor

Menció-Padrón Daniel

• Department of Mathematics, Université Paris Dauphine-PSL, Paris Cedex 16, France

• https://orcid.org/0000-0002-1887-6962

autor

Bouza-Allende Gemayqzel

• Department of Applied Mathematics, Universidad de La Habana, La Habana, Cuba

• https://orcid.org/0000-0003-4457-9360

Bibliografia

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• [3] Daley, D. J., and Kendall, D. G. Stochastic rumors. IMA Journal of Applied Mathematics 1, 1 (1965), 42–55.
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• [5] Escalante, R., and Odehnal, M. A deterministic mathematical model for the spread of two rumors. Afrika Matematika 31, 2 (2020), 315–331.
• [6] Hausken, K. Game theoretic analysis of ideologically biased clickbait or fake news and real news. Operations Research and Decisions 30, 2 (2020), 39–57.
• [7] Huang, J., and Jin, X. Preventing rumor spreading on small-world networks. Journal of Systems Science and Complexity 24, 3 (2011), 449–456.
• [8] Jeong, Y. D., Kim. K. S., and Jung, I. H. Optimal control strategies depending on interest level for the spread of rumor. Discrete Dynamics in Nature and Society 2018 (2018), 9158014.
• [9] Menció, D., and Bouza, G. Optimal control of rumor with spreaders of distinct character. International Journal of Dynamics and Control, preprint.
• [10] Ndii, M. Z., Carnia, E., and Supriatna, A. K. Mathematical models for the spread of rumors: A review. In Issues and Trends in Interdisciplinary Behavior and Social Science (2018), F. L. Gaol, F. Hutagalung, and F. P. Chew, Eds., CRC Press, 2018, pp. 65–74.
• [11] Pan, W., Yan, W., Hu, Y., He, R., and Wu, L. Dynamic analysis and optimal control of rumor propagation model with reporting effect. Advances in Mathematical Physics Article 2022, (2022), 5503137.
• [12] Song, G., Wang, Y., and Li, Y. Dynamic mathematical model of information spreading on news platform. Hindawi Wireless Communications and Mobile Computing 2021 (2021), 2174190.
• [13] Li, T. and Guo Y. Nonlinear dynamical analysis and optimal control strategies for a new rumor spreading model with comprehensive interventions.. Quanlitative Theory of Dynamical Systems 20, 3 (2021), 84.
• [14] Zhao, X. and Wang J. Dynamic model about rumor spreading with medium. Discrete Dynamics in Nature and Society Article 2013 (2013), 586867.

Uwagi

Opracowanie rekordu ze środków MEiN, umowa nr SONP/SP/546092/2022 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2022-2023).