Optimal Control of the SEIR Model of Online Game Addiction Using Guidance and Counseling

Abstract
The purpose of this research is to develop the SEIR
model to deal with online game addiction, identify optimal
control strategies through guidance and counseling for students addicted to online games, as well as to analyze and simulate models to predict the proportion of students who manage their online game addiction and those who do not. This research is a theoretical and applied research that determined the equilibrium point, stability, and basic reproduction number (R0) of the model. The Pontryagin principle was used to optimize the control of the SEIR model, while Maple was used to simulate the online game addiction model. The results show that the SEIR model can be used to deal with online game addiction. The analysis of the model showed that the basic reproduction number before and after control was R0 = 0:2221 and R0 = 0; 1342, respectively, which indicates that the problem of online game addiction can be overcome. The simulation results of the SEIR model showed that optimal control through
guidance and counseling can reduce the number of students
addicted to online games.