Stability Analysis of the Rumors Spreading about Postponing the Election on Twitter Using the IDSRI Model

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Susila Bahri, Ayu Fedriansari, Monika Rianti Helmi, Hamidah Nasution

2026 Mathematical Models and Computer Simulations Vol. 18 Issue 2 Article Cited by 0

Abstract

Abstract: Recently, rumors regarding election postponement in Indonesia became a controversy on Twitter. To analyze how much the rumors spread on social media, the ignorance–discussant–spreader–remover (IDSRI) model was applied to actual data from February 27, 2023 to March 8, 2023, contained in Drone Emprit academic open data. Using the stability theorem, the type of endemic equilibrium point obtained for the condition = (0.0016; 0; 0.9886) is asymptotic stable. Furthermore, using the next generation matrix method, a basic reproduction number obtained was R0 = 152.09, indicating each person can spread rumors to 152 other people. This reveals that rumors of postponing the elections will continue to increase and spread rapidly within the population. The Indonesian government can use these results as a basis for preventive actions against rumor spread that disturbs the community. © Pleiades Publishing, Ltd. 2026.

Affiliations

Department of Mathematics and Data Science, Faculty of Mathematics and Natural Sciences, Andalas University, West Sumatra, Padang, Indonesia; Mathematics Study Program, Faculty of Mathematics and Natural Sciences, Medan State University, North Sumatra, Medan, Indonesia