Optimal control of a modified mathematical model of social media addiction

Juhari, Juhari, Alisah, Evawati, Safitri, Alisa Ayu and Sujarwo, Imam (2024) Optimal control of a modified mathematical model of social media addiction. InPrime: Indonesian Journal Of Pure And Applied Mathematics, 6 (2). pp. 112-123. ISSN 2716-2478

Text 20938.pdf Download (639kB)

Abstract

This research investigates the application of optimal control in the Susceptible, Exposed, Addicted, Recovery, Quit (SEA_1 A_2 RQ) model to address social media addiction. The primary objective is to develop an effective control strategy to reduce the prevalence of social media addiction. The methodology employs Pontryagin's maximum principle to formulate the optimal control problem, incorporating two time-dependent control variables: control (u_1) and treatment (u_2). The optimal control model is numerically simulated using the 4th-order Runge-Kutta method. Comparative analysis of the simulation results, with and without control, demonstrates significant differences in all population groups after four years. The findings reveal that implementing control (u_1) and treatment (u_2) markedly decreases the number of individuals addicted to social media, highlighting the efficacy of the proposed strategy in mitigating social media addiction.

Item Type:	Journal Article
Keywords:	optimal control; social media addiction model; Pontryagin maximum principle.
Subjects:	01 MATHEMATICAL SCIENCES > 0102 Applied Mathematics > 010204 Dynamical Systems in Applications 01 MATHEMATICAL SCIENCES > 0102 Applied Mathematics
Divisions:	Faculty of Mathematics and Sciences > Department of Mathematics
Depositing User:	Juhari Juhari
Date Deposited:	28 Oct 2024 14:14

Downloads

Origin of downloads

Actions (login required)

View Item