Mathematical Model of Celebrity Worship Tendency Among K-Pop Fans in South Sulawesi

¹ Magister Student of Mathematics Department, Universitas Negeri Makassar, Makassar, South Sulawesi, Indonesia
² Mathematics Department, Universitas Negeri Makassar, Makassar, South Sulawesi, Indonesia

^* Corresponding author: syafruddin@unm.ac.id

Abstract

Celebrity worship is a form of almost obsessional participation in which people idolize and even start to “worship” their favorite celebrities. Twitter reveals that in 2021, Indonesia was ranked fourth as the country with the most number of Korean Pop (K-Pop) fans. In this study, we constructed a SEIRS mathematical model of celebrity worship tendency among K-Pop fans (CWKF) because there have not been specific mathematical models built on the problem of celebrity worship tendency among K-Pop fans. The CWKF free equilibrium point (E₀), endemic equilibrium point (E₁), and using the Next Generation Matrix for the Basic Reproduction Number (R₀) are calculated through analysis. Using the Routh-Hurwitz criteria for equilibrium analysis, we found that E₀ is locally asymptotically stable if R₀ < 1, and E₁ is locally asymptotically stable if R₀ > 1. Secondly, we conduct numerical simulations using Maple software, and research data consisting of 204 individuals from various regions in South Sulawesi serves as the basis for this mathematical analysis. The numerical simulation obtained supports the dynamic analysis results that the number of individuals who are K-Pop fans will decrease in the population and disappear within a certain period, even without any special treatment.