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All Journal Jurnal Sains dan Teknologi AKSIOMA: Jurnal Program Studi Pendidikan Matematika CESS (Journal of Computer Engineering, System and Science) ZERO : Jurnal Sains, Matematika dan Terapan INTENSIF: Jurnal Ilmiah Penelitian dan Penerapan Teknologi Sistem Informasi Desimal: Jurnal Matematika BAREKENG: Jurnal Ilmu Matematika dan Terapan Justek : Jurnal Sains Dan Teknologi Jurnal Pendidikan Matematika (JUDIKA EDUCATION) Query : Jurnal Sistem Informasi Zero : Jurnal Sains, Matematika, dan Terapan JOURNAL OF SCIENCE AND SOCIAL RESEARCH Saintifik : Jurnal Matematika, Sains, dan Pembelajarannya AMALIAH: JURNAL PENGABDIAN KEPADA MASYARAKAT M A T H L I N E : Jurnal Matematika dan Pendidikan Matematika Math Educa Journal Imajiner: Jurnal Matematika dan Pendidikan Matematika JURNAL PEMBELAJARAN DAN MATEMATIKA SIGMA (JPMS) MUKADIMAH: Jurnal Pendidikan, Sejarah, dan Ilmu-ilmu Sosial Proximal: Jurnal Penelitian Matematika dan Pendidikan Matematika G-Tech : Jurnal Teknologi Terapan Jurnal Lebesgue : Jurnal Ilmiah Pendidikan Matematika, Matematika dan Statistika Euler : Jurnal Ilmiah Matematika, Sains dan Teknologi FARABI: Jurnal Matematika dan Pendidikan Matematika Leibniz: Jurnal Matematika Mathematics and Applications (MAp) Journal Journal of Mathematics and Scientific Computing With Applications Jurnal Pijar MIPA Journal of Information Systems and Technology Research Jurnal MathEducation Nusantara Al-Ijtima: Jurnal Pengabdian Kepada Masyarakat Digital Transformation Technology (Digitech) Jurnal Ilmiah Ilmu Terapan Universitas Jambi Jurnal Riset Mahasiswa Matematika JME AKSIOMA : Jurnal Sains Ekonomi dan Edukasi Journal of Technology and Computer (JOTECHCOM) Jurnal Pengabdian Mitra Masyarakat Al-Ijtimā: Jurnal Pengabdian Kepada Masyarakat
Rima Aprilia
Universitas Islam Negeri Sumatera Utara
Religion Agriculture, Biological Sciences & Forestry Humanities Biochemistry, Genetics & Molecular Biology Chemistry Computer Science & IT Control & Systems Engineering Decision Sciences, Operations Research & Management Economics, Econometrics & Finance Education Electrical & Electronics Engineering Energy Engineering Industrial & Manufacturing Engineering Languange, Linguistic, Communication & Media Law, Crime, Criminology & Criminal Justice Library & Information Science Mathematics Mechanical Engineering Physics Social Sciences Transportation Other

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SEIRS MATHEMATICAL MODEL FOR ANALYZING THE SPREAD AND PERSISTENCE OF GADGET ADDICTION IN ELEMENTARY SCHOOL CHILDREN Panjaitan, Dedy Juliandri; Siregar, Annisa Fadhillah Putri; Sapta, Andy; Aprilia, Rima
BAREKENG: Jurnal Ilmu Matematika dan Terapan Vol 20 No 1 (2026): BAREKENG: Journal of Mathematics and Its Application
Publisher : PATTIMURA UNIVERSITY

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30598/barekengvol20iss1pp0585-0602

Abstract

Gadget addiction among elementary school-aged children has become a serious concern, especially with the increasing screen time that potentially disrupts learning focus, social interaction, and emotional development. Despite various efforts to control gadget usage, many schools and parents struggle to monitor and predict addiction trends effectively. This gap highlights the need for a structured approach to analyze and predict the spread of gadget addiction. Therefore, this study aims to model the dynamics of gadget addiction using the SEIRS (Susceptible-Exposed-Infected-Recovered-Susceptible) mathematical model. Data were collected through questionnaires to categorize individuals into susceptible (S), exposed (E), addicted (I), and recovered (R) groups. The model was numerically solved using the 5th-order Runge-Kutta method in MATLAB. Simulation results show a decrease in the susceptible group over time, an initial increase and eventual decline in exposed and addicted individuals, and a steady increase in the recovered group, with possible relapse into susceptibility. The analysis reveals that gadget addiction is likely to persist when the basic reproduction number exceeds a critical threshold, signifying the potential for long-term behavioral entrenchment. Sensitivity analysis indicates that the dynamics of gadget addiction are strongly influenced by the rate of peer interaction and the speed at which exposure leads to addiction, whereas higher recovery rates play a significant role in reducing its prevalence. The numerical analysis contributes by offering a reliable and accurate method for simulating real-world addiction patterns. This model provides a quantitative basis for designing more effective intervention strategies. However, this study is limited by the absence of real-time observational data and relies on parameter estimation from survey-based responses.
Co-Authors Adawiyah, Robiyatul Adella Aulia Mukti Afnaria, Afnaria Afsari, Khaila Amanda Ulayyah Mahaputri Andy Sapta Anjeli, Sarifah Annisa Fadhillah Putri Siregar Aprianingsih, Melinda Ardiansyah, Fikri Nur Atika Nabila Ayilzi Putri Br. Rambe, Ramadiani Damanik, Mahyuni Br Damayanti Darmawan, Dian Deasy, Deasy Dedy Juliandri Panjaitan Della Arsita sari Dewi, Desi Erni Diah Reka Putri Ellysa Syahfitri Fairuz, Ersya Nurul Fajari Husnul Walid Fayed, Heba A. Fazariani, Nabila Fernanda, Fariz Hakim Fibri Rakhamawati Filia Sari, Rina Firmansyah Firmansyah Hasibuan, Riza Sakhbani Hema Pebria Rollingka Hendra Cipta Husna, Wilia Indah Widya Hanzani Irvan Ginting Ismail Husein, Ismail Khairani, Sabila Laila Agustin Pohan Lisa Setia Ningsih MA, Wilda Syahrani Mahaputri, Amanda Ulayyah Mahyuni Br Damanik Majidah, Nur Marwan Marwan Mawarni Mawarni Mawarni Mawarni Melati, Melati Puspita Sari Lubis Miwadari Miwadari Muhammad Harits Azhari Muhammad Ridwan Mutiara, Tia Nasution, Ainil Hafizha Nasution, Hamidah . Nasution, Syahronal Hidayat Ningsi, Ria Sagita Nur Iman Nuri Prasuci Nuriman Astuti Batubara Prasetya, Nurul Huda Puspita, Reni Putri Rahma Novia Putri, Ayilzi Putri, Chindy Aulia Rahayu, Tiwi Rakhmawati, Fibri Rina Filia Sari Rina Filia Sari, Rina Filia Rina Widyasari Riri Syafitri Lubis Riri Syahfitri Lubis Rismayani Rismayani Rismayani Rismayani Riza Sakhbani Hasibuan Sajaratud Dur Sajaratud Dur, Sajaratud Sapta, Andy Setiawan, Agun Siregar, Annisa Fadhillah Putri Siregar, Aulia Rahman Siregar, Machrani Adi Putri Siregar, Nurmala Sari Siti Aisyah Siti Handayani Sri Wahyuni Suci Pranasari Suendri Suendri, Suendri Sugarda, Ahmad Suhaimi, Syech Suhendra, Irfan Sulaiman Ananda Harahap Syahfitri, Sella Syahputri, Nenna Irsa Tanjung, Muhammad Afrizal Tarigan, Umar Abdul Gani Taufik Hidayat Manurung Tri Handayani Triase Triase Usna, Wilia Walid, Fajari Husnul Widyasari, Rina Wulandari, Mitha Yolandini Eka Putri Yuda, Muhammad Wira Yulinda, Jeni YUSMANIDAR, YUSMANIDAR Zakaria, Nur Haryani