Article Per Year (5 Year)
p-Index From 2021 - 2026
0.61
P-Index
This Author published in this journals
All Journal Journal of Mathematics, Computation and Statistics (JMATHCOS)
Andi Muh. Ridho Yusuf SAP
Universitas Negeri Makassar
Mathematics

Published : 3 Documents Claim Missing Document
Claim Missing Document
Check
Articles

Found 3 Documents
Search

 1 
A Mathematical Model with Time Delay for Addressing Online Game Addiction Through Family Time Intervention Based on Local Wisdom in South Sulawesi Muhammad Abdy; Syafruddin Side; Yusuf Ramadana; Andi Muh. Ridho Yusuf SAP
Journal of Mathematics, Computations and Statistics Vol. 9 No. 2 (2026): Volume 09 Issue 02 (June 2026)
Publisher : Jurusan Matematika FMIPA UNM

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.35580/Jmathcos9676

Abstract

This study analyzes the dynamics of online game addiction among FMIPA UNM students using a modified time-delayed SEAFR (Susceptible–Exposed–Addicted–Family time–Recovered) mathematical model. Online game addiction is a growing concern that threatens academic performance and social well-being. The research applies a five-stage methodology: (1) literature review of SIR-based models and digital addiction studies to identify compartments and parameters; (2) data collection from 400 students through proportionate stratified random sampling; (3) model development incorporating time delay, cultural norms, and family-based interventions; (4) equilibrium and stability analysis using Jacobian matrices and Routh–Hurwitz criteria; and (5) numerical simulations with MATLAB to evaluate intervention strategies. The analysis yields a basic reproduction number, R₀ = 0.5, indicating that addictive behavior tends to decline without reinforcement of exposure. However, the endemic equilibrium remains locally asymptotically stable, suggesting addiction may persist if interventions are weak. Simulation results highlight that reducing exposure (β), enhancing recovery through awareness and cultural support (γ), and strengthening family-based activities significantly reduce addiction prevalence. These findings show the usefulness of mathematical modeling as a decision-support tool contextualized by local wisdom, offering practical insights for policymakers and educators in designing effective interventions to address student addiction.
The Analysis and Simulation of Consumer Behavior Towards Product Boycotts Using Mathematical Modeling in North Sangatta District Jusman Jusman; Syafruddin Side; Rahmat Syam; Andi Muh. Ridho Yusuf SAP
Journal of Mathematics, Computations and Statistics Vol. 8 No. 1 (2025): Volume 08 Nomor 01 (April 2025)
Publisher : Jurusan Matematika FMIPA UNM

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.35580/jmathcos.v8i1.6864

Abstract

This study aims to analyze and simulate a mathematical model of product boycott behavior in North Sangatta District using a modified SEIRS model approach. This model divides the population into four compartments: Susceptible (S), Exposed (E), Infected (I), and Recovered (R). Primary data were obtained through a survey of individuals aged 15-60 years living in North Sangatta District. The SEIRS-type mathematical model was used to determine the equilibrium point. The analysis showed that the basic reproduction number , indicating that an individual who boys can influence others to do the same. Stability analysis shows that when , the boycott-free equilibrium point is unstable, while the endemic equilibrium point is locally asymptotically stable. This means that individuals who boycott will remain in the population. Simulations show that reducing the transition rate from susceptible to exposed and from exposed to boycotts, as well as increasing the recovery rate, can be a solution to reduce the impact of boycotts.
The Optimal Control of Mathematical Models for Monkeypox Spread Using the Pontryagin Maximum Principle with Numerical Solution RK6 on Study in Indonesia: engglish syafruddin side; Andi Muh. Ridho Yusuf SAP; Musfira Musfira; Muhammad Abdy
Journal of Mathematics, Computations and Statistics Vol. 8 No. 2 (2025): Volume 08 Nomor 02 (Oktober 2025)
Publisher : Jurusan Matematika FMIPA UNM

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.35580/jmathcos.v8i2.9461

Abstract

This study examines the SIQR mathematical model by applying the Pontryagin Maximum Principle (PMP) and the 6th order Runge-Kutta (RK6) numerical solution to the spread of Monkeypox in Indonesia. This study aims to analyze and simulate the dynamics of the spread of Monkeypox and identify optimal control strategies that are effective in suppressing the rate of infection. This study has a population of 283,487,843 individuals. The results of this study show the effectiveness of implementing optimal control in reducing the spread of Monkeypox in the region. This study makes a significant contribution to the development of more efficient and targeted health policies in dealing with Monkeypox outbreaks, and offers valuable insights for future infectious disease control strategies.
Co-Authors Jusman Jusman Muhammad Abdy Musfira Musfira Rahmat Syam Syafruddin Side Yusuf Ramadana