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All Journal SAINSMAT Jurnal Varian
Sainon Andi Pandjajangi, Andi Muhammad Ridho Yusuf
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Decision Sciences, Operations Research & Management Economics, Econometrics & Finance Education Mathematics Social Sciences Other

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Simulating the Dynamics of Early Marriage and Marital Stability Using SERH Mathematical Models Khairana, Nadiyah; Annas, Suwardi; Side, Syafruddin; Sainon Andi Pandjajangi, Andi Muhammad Ridho Yusuf
Jurnal Varian Vol. 8 No. 2 (2025)
Publisher : Universitas Bumigora

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30812/varian.v8i2.4460

Abstract

This study aims to develop a mathematical model of SERH (Susceptible, Engaged, Risk, and Stabilization) to analyze and predict the incidence of early marriage in South Sulawesi Province. The research employs method a combination of theoretical and applied approaches, utilizing differential equations to model the dynamics of early marriage spread. Data were collected through questionnaires distributed to 400 couples selected using the Slovin technique, representing a population of 57,789 couples. The SERH model parameters, including the rate of couple interaction , transition from engagement to risk , and recovery from risk to stability , were derived from the collected data. Simulations were conducted using Maple software to visualize the spread of early marriage under different scenarios. The results of the analysis revealed two equilibrium points: a marriage-free equilibrium and a stable endemic equilibrium. The basic reproduction number  was calculated to be 3.97, indicating that one couple can influence 3-4 others in their social environment. However, with effective interventions such as education and counseling, the R₀ value can be reduced to 0.45, significantly lowering the spread of early marriage. This study provides valuable insights for policymakers to design targeted prevention programs and highlights the importance of early intervention in reducing the prevalence of early marriage.  
Analysis and Simulation of SELR Model in Exploring and Predicting the Dynamics of Independent Curriculum in Addressing the Gap in Student Achievement in City Centers and Remote Areas in South Sulawesi Muktamar, Muhammad Ilham; Syam, Rahmat; Side, Syafruddin; Sainon Andi Pandjajangi, Andi Muhammad Ridho Yusuf
Sainsmat : Jurnal Ilmiah Ilmu Pengetahuan Alam Vol 13, No 2 (2024): September
Publisher : Fakultas Matematika dan Ilmu Pengetahuan Alam Universitas Negeri Makassar

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.35580/sainsmat132660242024

Abstract

This study aims to build and analyze the SELR mathematical model in the context of the Independent Curriculum, in order to explore and predict the gap in student achievement between urban and remote areas in South Sulawesi. This study combines theoretical studies and applications by conducting simulations using Maple software. The study population involved 400 students from urban areas and 400 students from remote areas where simulation data was used to predict the dynamics of adaptation to the Independent Curriculum. The results showed that the Independent Curriculum was not fully effective in addressing the achievement gap, with a low basic reproduction number (R₀), both in urban and remote areas. The R₀ value of 0.204 in urban areas and 0.614 in remote areas indicates that the spread of curriculum adaptation is still limited and cannot create a significant impact on improving student achievement. This study indicates the need for additional adjustments and interventions in the implementation of the Independent Curriculum to achieve more equitable and inclusive results in various regions .
Co-Authors Khairana, Nadiyah Muktamar, Muhammad Ilham Rahmat Syam Suwardi Annas Syafruddin Side