Syafruddin Side, Miftahul Jannah, Abdul Saman, Muhammad Isbar Pratama, Wahidah Sanusi
This study aimed to develop a Suspected-Exposed- Infected-Recovered (SEIRS) mathematical model to solve addiction to online games. The model would use optimal control to analyze and predicts addiction cases among the State Junior High School students. The model was analyzed through determination of the equilibrium point, stability, and basic reproduction number (R0). The optimal control problem was solved using the Pontryagin principle to minimize the number of addicted groups. The analysis without control gave an initial value of R0 = 1.94 > 1, which indicated that online game addiction in students at a worrying level. The value R0 with 1% control was R0 = 1.892, which showed that the problem is still worrying. Meanwhile, 50% and 90% controls gave R0 = 0.814 and R0 = 0.556, respectively, which indicated that the problems can be overcome because the values are less than one. This shows that the greater the control, the lower the transmission rate for online game addiction. © 2024, International Association of Engineers. All rights reserved.
Mathematics Department, Universitas Negeri Makassar, Indonesia; Mathematics Department, Universitas Negeri Makassar, Indonesia; Guidance and Counseling Department, Universitas Negeri Makassar, Indonesia; Mathematics Department, Universitas Negeri Makassar, Indonesia; Mathematics Department, Universitas Negeri Makassar, Indonesia
