DYNAMICS OF THE RUMOR SPREADING MODEL OF INDONESIA TWITTER CASE
Abstract
The study of the spreading of a rumor is significantly important to obtain scientific information and better strategies in reducing its negative impact. Twitter has become a medium for spreading rumors or hoaxes spatially and chronologically because it has a unique community structure. This study demonstrates the model of spreading rumors by considering credibility, correlation, and mass classification based on personality is discussed. The behavior of a model solution around equilibrium points is investigated with the Jacobian matrices. The stability also corresponds to a threshold number indicating the rumor fades away or continues to spread in the population. The analytical results are confirmed by actual data from Twitter in Indonesia with #SahkanRUUPKS. The simulation results show that the free rumor equilibrium point is stable and the threshold number is less than 1. Our study shows that the number of spreaders does not increase and the #SahkanRUUPKS rumor will vanish.
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References
E. A. Bender, An Introduction to Mathematical Modelling, New York: John Wiley And Sons. Inc, 1998.
N. Bellomo and L. Preziosi, Modelling Mathematical Methods and Scientific Computation, Torino, 1995.
S. H and A. Maulana, "Some Inquiries to Spontaneous Opinions: A case with Twitter in Indonesia," BFI Working Paper Series, pp. WP-10-2010, 2010.
Getdaytrends In Indonesia, [Online]. Available: http://getdaytrends.com/indonesia/trend/23SahkanRUUPKS/. [Accessed 23 Juni 2021].
Amnesty International, "www.amnesty.id," Amnesty Indonesia, 12 November 2020. [Online]. Available: https://www.amnesty.id/empat-urgensi-pengesahan-ruu-pks/ . [Accessed 24 Juni 2021].
F. L. Gaol, F. Hutagalung and C. F. Peng, Issues and Trends in Interdiscilinary Behaviour and Social Science, London, 2018.
D. D. J and K. D. G, "Epidemics and Rumours," Nature, p. 204:1118, 1964.
J. P. I, A. R. Putri and E. , "Analisis Perilaku Model SIR Tanpa dengan Vaksinasi," Barekeng: Jurnal Ilmu Matematika dan Terapan , p. 14:2, 2020.
C. Xuelong and N. Wang, "Rumor Spreading Model Considering Rumor Credibility, Correlation and Crowd Classification based on Personality," Scientific Report, p. 10:5887, 2020.
H. L and M. C, "Dynamical Analysis of Rumor Spreading Model with Impulse Vccination and Time Delay," Physca A, pp. 471:653-665, 2017.
X. L, G. Jiang, B. Song and Y. Song, "Rumor Spreading Model Considering Hesiteting Mechanism in Complex Social Networks," Phys.A, p. 437:295, 2015.
O. Diekmann and H. J. P, "The Construction of next generation matrice for comparmental epidemics models," Journal Of the royal society interface , pp. 7:873-885, 2009.
J. M. Harris, J. L. Hirst and M. J. Mossinghoff, Combinatorics and Graph Theory, New York: Springer Science+Business Media, 2008.
J. R. Brannan and W. E. Boyce, Differential Equations: An Introduction to Modern Methods and Application, New York: John Wiley and Son, Inc, 2011.
F. Breur, P. Driesche and J. , Mathematical Epidemiology, Berlin: Heidelberg, 2008.
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