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SDF Mathematical Model as a Solution to Overcoming Difficulties in Completing Thesis of Students of Mathematics Department of Makassar State University Wahidah Sanusi; Syafruddin Side; Muh. Ishaq Firdaus
Journal of Mathematics, Computations and Statistics Vol. 9 No. 1 (2026): Volume 09 Issue 01 (March 2026)
Publisher : Jurusan Matematika FMIPA UNM

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.35580/qh78b575

Abstract

This study aims to develop and analyze the SDF mathematical model in addressing difficulties faced by students in completing their theses at the Mathematics Department, Universitas Negeri Makassar, in 2023. The SDF model is derived from the SIR model, which is commonly utilized to analyze disease spread, by adapting specific assumptions relevant to the students' circumstances. The analysis of the model focuses on determining equilibrium points, model stability, and the basic reproduction number , which serves as a critical parameter in understanding the dynamics of the issue's spread. Data for the study were collected from students in the Mathematics Department, Faculty of Mathematics and Natural Sciences, Universitas Negeri Makassar, and were used for model simulations employing Maple 18 software. The analysis results indicate a basic reproduction number value of , implying that the number of students experiencing difficulties in completing their theses is expected to increase over time without intervention. These findings provide valuable insights for the university to comprehend the factors influencing the thesis completion rates among students. It is anticipated that this study can inform the design of more effective strategies and interventions to assist students in overcoming their challenges. The SDF model can also serve as a reference for similar studies in other contexts
Numerical Solution of Drug Addiction Mathematical Model Using Adams Moulton Method Nurul Ismi Maulida; Syafruddin Side; Rahmat Syam
Parameter: Jurnal Matematika, Statistika dan Terapannya Vol 4 No 3 (2025): Parameter: Jurnal Matematika, Statistika dan Terapannya
Publisher : Jurusan Matematika FMIPA Universitas Pattimura

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30598/parameterv4i3pp521-536

Abstract

Rug abuse is one of the major social issues in Indonesia, particularly in South Sulawesi. This study aims to develop a mathematical model that represents the dynamics of drug addiction in the population and to solve the model numerically using the Adams-Moulton method. The model applied is theSIIHRcompartment model, which segments the population into five groups: susceptible (S), light addict (IR), heavy addict (IB), in rehabilitation (H), and recovered (R). The analysis results indicate that the basic reproduction number푅₀is less than 1, suggesting that drug addiction in the population can be managed. Numerical simulations are conducted using the fifth-orderRunge-Kuttamethod for initial values, followed by theAdams-Bashforth-Moultonmethod as the numerical solution technique. The model demonstrates stability at the drug-free equilibrium point and consistency between the outcomes of mathematical and numerical analysis.
Co-Authors . Sulaiman . Sulaiman . Sutra . Sutra Abdul Kadir Abdul Kadir Abdul Rahman Abdul Rahman Ahmad Ali Ramli AHMAD FAUZAN RIDHA SUJIONO ahmad yani Ahmad Yani AHMAD ZAKI Ahmad Zaki Ahmar, Ansari Saleh Aidid, Muhammad Kasim Aisyah Mukhlisah Araaf Aisyah Zahra Ramadhani Asya Akbar Aldri Frinaldi Alief Saputro Alimuddin Alimuddin Alimuddin Tampa Alvioni Bani Amal Arfan, Amal Amni Rasyidah Andi Gagah Palarungi Taufik Andi Muh. Ridho Yusuf SAP Andi Muhammad Ridho Sainon Andi Pandjajangi Andi Muhammad Ridho SAP Andi Muhammad Ridho Yusuf Sainon Andi Pandjajangi Andi Muhammad Ridho Yusuf Sainon Andin P Angri Lismayani Annas, Suwardi Annisa Chaerani Annisa Uniarti Annisa Uniarti Arifuddin R Arika Dwi Angraeni Rasida Arkas, Amaliah Nurul Armalinda Mohammad Adam Arsita, Asriani Asdar Astri Utari Aswi, Aswi Aulia Azzahra Aulia, Hikma Baehaqi Bahar, Nur Qadri Baiq Nurkhalishah Beby Fitriani Bohari, Nurul Aulia Bohari, Nurul Aulia Citra Suci Said Damang, Dahnial Dian Pebriani Emi Wulandari Erra Fasira Fajar Arwadi Fitrah Mallolongeng Fitri, Vanda Elona Fitriani Fitriani Fitriyani Fitriyani Fitriyani Gita Tri Asfarina Gita Tri Asfarina Hadrianty Ramli Hadrianty Ramly Hamzah Upu Hasri Hasri Hasri Hasri Hirpan Hirpan Hisyam Ihsan Husnul Khatimah Syam Ilham Minggi Imron AY, Muhamammad Intan Buhati Asfyra Irwan Irwan Irwan Irwan Irwan Irwan Irwan Irwan Irwan Irwan Ismail, Khusnul Ryana Tasya J, Jusriadi Ja'faruddin Jafaruddin a, Jafaruddin Jelita Kaito, Nurlaila Karwingsi, Ersa Katrina Pareallo Khadijah , Ummul Khairana, Nadiyah La Ode Salman Yassar Luthfiah Arradiah Luthfiyyah Az-zahrah Mallolongeng, Fitrah Marfianti, Marfianti Meisy Tri Elsa Meisy Tri Elsa Miswar Mohd Salmi Md Noorani Mudinillah, Adam Muh Al Rasyid Ridho Muh. Darwis Muh. Ishaq Firdaus Muh. Rifki Muhammad Abdy Muhammad Abdy Muhammad Abdy Muhammad Abdy Muhammad Abdy Muhammad Abdy Muhammad Abdy Muhammad Arif Tiro, Muhammad Arif Muhammad Edy Rizal Muhammad Farhan Muhammad Iqbal Muhammad Irfan Muhammad Isbar Pratama Muhammad Nur Ilham Muhammad Rakib Muhammad Ridho Yusuf SAP Muhammad Rifandi Muhjria, Muhjria Muktamar, Muhammad Ilham Mulyaningrum, Dwidary Munadiya Yunadiya Musawira Musdalifa Pagga Musdalifah Pagga Musfira, Musfira Musfira, Nur Fadillah Mustati'atul Waidah Maksum mutiara mutiara N. Nurhaeda Nathaniel Lucky Mangngesak Neldi Neldi, Neldi Nikmatullah Nur, Nikmatullah Nor Zila Abdul Hamid Nora Auliya Zahra Norliana Rahmasari Nur Fajri Setiawan Nur Izzah Nurdin Nur Khaerati Rustan Nur Qomariah Nurazizah Nurdin, Nur Izzah Nurhaeda Nurhilmah Busrah Nurul Aulia Bohari Nurul Azizah Muzakir Nurul Fadhilah Syahrul Nurul Ismi Maulida Nurwahidah Sari Nurwijayanti Nusrang, Muhammad Padjalangi, Andi Muhammad Ridho Yusuf Sainon Andi Pagga, Musdalifa Palumpun, Feby Fristi Pandjajangi, Andi Muhammad Ridho Yusuf Sainon Andi Puspitasari Putri Kharina Mahathir Hulinggi Qudratullah Qudratullah Rahman, Muhammad Fatur Rahmasari, Norliana Rahmat Syam Rahmat Syam Rahmat Syam Raihana Nurfitrah Raihana Nurfitrah Ramadhan, Nur Resky Ramadhani, Muthia Reza Arisandi Reza Arisandi Ridho, Andi Muhammad Rifki, Muh. Risma Risma, Risma Rosmini Maru Rudi Ruliana Rustan, Nur Khaerati S. Sartika Sahlan Sidjara Sahlan Sidjara Sainon Andi Pandjajangi, Andi Muhammad Ridho Yusuf Sakina Putri Sahara Sanusi, Wahida SAP, Andi Muh. Ridho Yusuf SATRIYAS ILYAS Setiawan, Nur Fajri Sidjara, Sahlan Sitti Aisyah Sopiyah Sri Indriani Sri Nur Qadri St. Nurhilmah Busrah Suciyanti, Nurafni Sudarmin - Suhartono Nurdin Sukarna Sukarna Sukarna Sulaiman - Sulaiman Sulaiman SULFIANA, SULFIANA Supriadi Supriadi Supriadi Yusuf Suriyandi Suriyandi Sutriani Hidri, Sutriani Suwardi Annas Syahirah, Nurul Syahrana Syahrana Syana Nurul Utari Syarif Hidayat Syarif Hidayat Talib, Dr. Ahmad Usman Mulbar Variska Anjani Wahidah Sanusi Wahidah Sanusi Wahyuni, Maya Sari Wahyuni, Maya Sari Waode Nurlaelah Wulandari, Emi Yanti, Nurul Castri Yulita Molliq Rangkuti Yusnalia Kadir Yusuf Ramadana Yusuf S.A.P., Andi Muh. Ridho Yusuf Sainon Andi Pandjajangi, Andi Muhammad Ridho Yusuf SAP, Andi Muh. Ridho Yusuf SAP, Andi Muhammad Ridho Zahra, Nora Auliya Zakyah, Nur