On a model for the fake-news diffusion between two interacting populations
DOI:
https://doi.org/10.5540/03.2023.010.01.0077Palavras-chave:
Fake News, Multi-Population, Model, DynamicsResumo
The dynamics of information propagating among populations that interact might have an enormous impact on public opinion, particularly when such information is false, known as fake news. In this contribution, we propose and analyze the fake news dissemination that occurs when two distinct sub-populations (not necessarily homogeneous) share information, using a reinterpretation of a compartmental model for disease dissemination. We show the model’s well-posedness and present numerically simulated scenarios for the dynamics of fake news spreading among populations, with the model parameters associated with some human development indices. The obtained results show that the velocity of the fake news diffusion among the populations is largely impacted by the gap between the human development indices of each population. They also show that a small percentage of control over the information shared by the population leads to a large decrease in the amount and velocity of fake news diffusion.
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Referências
L. J. S. Allen. An introduction to Mathematical Biology. Pearson Prentice Hall, 2007.
R. D’Ambrosio et al. “A Modified SEIR Model: Stiffness Analysis and Application to the Diffusion of Fake News”. In: Computational Science and Its Applications – ICCSA 2022. Ed. by Osvaldo Gervasi et al. Cham: Springer International Publishing, 2022, pp. 90–103.
R. D’Ambrosio, S. Mottola, and B. Paternoster. “A short review of some mathematical methods to detect fake news”. In: International Journal of Circuits, Systems and Signal Processing 14.2 (2020), pp. 255–265.
R. D’Ambrosio et al. “Stiffness Analysis to Predict the Spread Out of Fake Information”. In: Future Internet 13.9 (2021).
M. J. Lazo and A. De Cezaro. “Why can we observe a plateau even in an out of control epidemic outbreak? A SEIR model with the interaction of n distinct populations for COVID-19 in Brazil.” In: Trends in Computational and Applied Mathematics 22.1 (2021), pp. 109–123.
Hosam Mahmoud. “A model for the spreading of fake news”. In: Journal of Applied Probability 57.1 (2020), pp. 332–342. doi: 10.1017/jpr.2019.103.
J. C. Marques, A. De Cezaro, and M. J. Lazo. “On an emerging plateau in a multi-population SIR model”. In: preprint 1 (2023), pp. 1–21.
Jorge Sotomayor. Lições de Equações Diferenciais Ordinárias. Vol. 11. Instituto de Matemática Pura e Aplicada, CNPq, 1979.
S. Vosoughi, D. Roy, and S. Aral. “The spread of true and false news online”. In: 6380 (2018), pp. 1146–1151. doi: 10.1126/science.aap9559.
