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Fauziah, Helena
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Computer Science & IT Decision Sciences, Operations Research & Management Mathematics

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Analisis Kestabilan Model Matematika Dinamika Penyebaran Rumor melalui Media Sosial dan Verbal Fauziah, Helena; Winanda, Rara Sandhy
Journal of Mathematics UNP Vol 9, No 2 (2024): Journal Of Mathematics UNP
Publisher : UNIVERSITAS NEGERI PADANG

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24036/unpjomath.v9i2.15703

Abstract

Rumor, unverified information, propagate swiftly through word of mouth and social media. This research will discuss a mathematical model of the dynamics of rumor spreading through social media and verbal with four compartments, namely I, M, G and R. This is referred to a basic research (theoretical) using descriptive method. The results of this research indicate that the rumor-free equilibrium point is asymptotically stable if it satisfies the conditions, meaning that no rumor spreads in the population; the rumor-endemic equilibrium point through verbal is asymptotically stable if it satisfies the conditions, meaning that rumors spread but only through verbal in the population; and the rumor-endemic equilibrium point through media is asymptotically stable if it satisfies the conditions, meaning that rumors spread but only through media in the population.
Co-Authors Rara Sandhy Winanda