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All Journal International Journal of Advances in Applied Sciences AL-TA´LIM Jurnal Ilmiah KOMPUTASI Al-Wijdan : Journal of Islamic Education Studies BAREKENG: Jurnal Ilmu Matematika dan Terapan Al Qalam: Jurnal Ilmiah Keagamaan dan Kemasyarakatan JURNAL PENDIDIKAN TAMBUSAI Gorontalo Journal of Forestry Research Menara Ilmu Jurnal Review Pendidikan dan Pengajaran (JRPP) Math Educa Journal Turast: Jurnal Penelitian dan Pengabdian Islamika: Jurnal Keislaman dan Ilmu Pendidikan Jurnal Ilmiah Edunomika (JIE) Rayah Al Islam : Jurnal Ilmu Islam Natural Science: Jurnal Penelitian Bidang IPA dan Pendidikan IPA PRODU-Prokurasi Edukasi (Jurnal Manajemen Pendidikan Islam) Jurnal Kajian dan Pengembangan Umat Fitrah: Journal of Islamic Education An-Nuha : Jurnal Pendidikan Islam At-Tadbir : Jurnal Manajemen Pendidikan Islam Educenter: Jurnal Ilmiah Pendidikan Mauriduna : Journal of Islamic studies Edu Society: Jurnal Pendidikan, Ilmu Sosial dan Pengabdian Kepada Masyarakat PROSISKO : Jurnal Pengembangan Riset dan observasi Rekayasa Sistem Komputer Jurnal Ilmiah Pendidikan Dasar (JIPDAS) ARZUSIN: Jurnal Manajemen dan Pendidikan Dasar Jurnal Pendidikan Islam Jurnal Tahsinia Electronic Journal of Education, Social Economics and Technology Innovative: Journal Of Social Science Research International Journal of Islamic Studies Higher Education Al-Imam : Journal on Islamic Studies, Civilization And Learning Societies Science and Education Journal Journal Innovation In Education Journal of Regional Development and Technology Initiatives EDUCENTER JURNAL PENDIDIKAN Tarunaedu Prosiding SeNTIK STI&K Jurnal Wasian Al-Ashri: Ilmu-Ilmu Keislaman Jurnal Pendidikan Islam
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DEVELOPMENT OF A MATHEMATICAL MODEL FOR SMARTPHONE ADDICTION USING A DETERMINISTIC COMPARTMENTAL APPROACH Amalina, Amalina; Samat, Nor Azah; Sabri, Ahmad
BAREKENG: Jurnal Ilmu Matematika dan Terapan Vol 20 No 2 (2026): BAREKENG: Journal of Mathematics and Its Application
Publisher : PATTIMURA UNIVERSITY

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30598/barekengvol20iss2pp1359-1372

Abstract

Smartphone usage is increasing with technological advancements. However, excessive use can lead to addiction, negatively impacting an individual’s physical health, mental well-being, communication skills, and cognitive development. While previous studies have discussed the psychological and social aspects of smartphone addiction, there is still a lack of mathematical models that capture its spread at the population level. To address this gap, this study develops a deterministic compartmental model to describe the dynamics of smartphone addiction, representing real-world addiction scenarios through mathematical analysis. The novelty of this study lies in formulating a theoretical framework that identifies equilibrium points, conducts sensitivity analysis for each parameter, and employs numerical simulations to demonstrate the role of transmission rate and initial conditions in shaping addiction dynamics. The findings highlight that both transmission rate and initial conditions significantly influence the persistence of addiction, underscoring the importance of early interventions to reduce its long-term impact on the population.
Co-Authors Abrar, Khairul Ahmad Fatah Yasin Akbar Akbar Akhyar, Muaddyl Alen, Alen Prastya Alindra, Afridha Laily Amalina Amalina, Amalina Amelia Fitri Arasy, Ashila Ariandi, Rahmat Arty, Budi Asri, Fatma Mulyana Astuti, Lucky Aulia Mufti, Zaki Azahra, Amertya Azima, Rizqiyul Aziz, Ahmad Azzahra, Azil Hanifa Bahyu, Adri Bintang, Abdul Rahman Botara, Agustinus A Bustari Bustari Chakim, Abdulloh Delvia, Melda Dinanti, Neswa Putri E, Yuli Fazni Effendi, Heri Erwin Erwin Fadhel, Muhammad Fatimah Azzahra, Allya Firdaus Firdaus Firmansyah , Mhd. Zidan Fitri, Rika Fortuna Ihsan, Sartika Gusmaneli Gusmaneli Hani’ah, Zuhrotul Hasibuan, Restu Permohonan Hasnawati Hasnawati Hekyka, Suriya Hendra Kurniawan Hidayati Hidayati Hikmah Hikmah Hoktaviandri Huda, Akramul Ikhlas, Zaitul Ilpi Zukdi Jamin, Ahmad Jhoni Warmansyah Juliana Batubara Kaema, Muhammad Tolal Khairun Nisa Khairun Nisa, Akma Kurnia, Asraf Lathifah, Najmi Diyana Lubis, Yusran Makruf Makruf Malfi, Febri Marhamah Marhamah Martin Kustati Muhammad Ichsan MUHAMMAD KOSIM, MUHAMMAD Muhammad Zalnur Mukti, Jauhar Munira RKT, Siska Lailan Muspardi Muspardi Mustaqim, Mujahidil Nasution, Maifatma Nelwati, Samsi Nelwati, Sasmi Nurhapipah, Nurhapipah Nurhasnah Nurkhasanah, Ani Fitria Oviensy, Vegia Pohan, Abdul Hakim Prima Aswirna Puspita, Yuditha Hatur PUTRI WAHYUNI Putri, Alifa Fatria Putri, Candra Avista Putri, Jihan Aulya Putri, Mella Ika Rahman, Ikhwan Rahmanda, Rega Rahmi , Nailul Remiswal REMISWAL REMISWAL Reza Fahmi Rifki Kosasih Risky, Widya Alfa Rully Hidayatullah S, Rahmad Sa'duh, Septria Safarudin, Rizal Safna, Aisyah Sakinah, Nurul Salmiarti, Rahma Samat, Nor Azah Samsul Susilawati sarianti, opet Sasminelwati, Sasminelwati Semu, Yuslan Demma Sudirman Sudirman Suhaili, Hidayati Syafruddin Nurdin Triyo Supriyatno Tsaqila, Diena Qaulan Tusa'diah, Halimah Wandrianto, Wandrianto Wika, Wikalaisa Yafi, Salman Yusadi, Ardini Zahara, Fatimah Nurul Zahra, Madinatul Zainal Asril Zulkifli Zulkifli Zulvia Trinova