Abstract
In this paper we discussed about the model of social media addiction and stability analysis of the equilibrium point as well as its numerical simulation by assuming the individual population is divided into 5 classes, namely Susceptible individual, Expose individuals, Addicted individuals, Recover individuals. The SEARQS model is used. The assumptios used are no deaths due to social media addiction. In addition, individuals who have quit social media addiction may return to being Susceptible individuals. The problem that arises from the spread of excessive use of social media is how to know when individuals who are addicted to social media will disappear from the population and when individuals who are addicted to social media will still be in the population. Based on the model, an addiction-free equilibrium point and an endemic equilibrium point are obtained. The stability analysis was carried out around the addiction-free equilibrium point and the result was that the addiction-free equilibrium point was locally asymptotically stable if the condition was fulfilled. Furthermore, a numerical simulation using the Matlab program results if , the population of individuals who are addicted to social media will disappear from the population shortly after 10 time units, whereas if , individuals who are addicted to social media are still in the population.
Recommended Citation
Widayati, R., & Reviladi, I. (2024). Analisa Kestabilan Bebas Kecanduan pada Penyebaran Penggunaan Media Sosial Berdasarkan Model SEARQS. PYTHAGORAS : Jurnal Matematika dan Pendidikan Matematika, 18(1). Retrieved from https://scholarhub.uny.ac.id/pythagoras/vol18/iss1/9
