Analisis Dinamik Model Penyebaran Rumor Ignorances-Discussant-Spreader-Remover (IDSR) pada Jejaring Sosial
DOI:
https://doi.org/10.33379/gtech.v7i3.2725Keywords:
Penyebaran Rumor, Model Matematika, Analisis DinamikAbstract
The spread of rumors has many negative impacts on social life. The characteristics of spreading rumors need to be studied to obtain scientific information and to determine the appropriate control strategy. In this study, a model IDSR (Ignorances-Discussant-Spreader-Remover) for spreading rumors was constructed by taking factor of giving counter-statements. In the model, dynamic analysis is carried out by determining the equilibrium point, existence, and local stability of the equilibrium point. It is found that, a rumor-free equilibrium point exists and local asimtotically stable when statisfy stability criteria. Meanwhile, the other two equilibrium points have existence conditions and their stability conditions are determined using the Routh-Hurwitz stability criteria. Numerical simulations were carried out using fourth order Rungge Kutta method and MATLAB software to describe the characteristics of each of these equilibrium points and to prove the theoretical analysis that was carried out.
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Copyright (c) 2023 Pangestuti Prima Darajat, Rizka Rizqi Robby, Hady Rasikhun; Deasy Sandhya Elya Ikawati
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