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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
Comparison of Naïve Bayes and K-Nearest Neighbor (K-NN) Methods in Classifying Stunting in Toddlers in Takalar Regency Wahidah Sanusi; Irwan Thaha; Aliyah Arianti Halim
Inferensi Vol 9 No 1 (2026)
Publisher : Department of Statistics ITS

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.12962/j27213862.v9i1.9026

Abstract

Stunting is a chronic nutritional problem that has long-term effects on children's physical growth and cognitive development. Therefore, classifying the nutritional status of toddlers is an important step in early detection and determining appropriate interventions. This study aims to compare the performance of two classification methods, namely Gaussian Naïve Bayes and K-Nearest Neighbor (K-NN), in identifying the nutritional status of toddlers. The data used consisted of 14,620 toddler data obtained from the Takalar District Health Office covering 11 sub-districts. Gaussian Naïve Bayes is a probabilistic classification method with the assumption of independence between variables, while K-NN is a nonparametric method that classifies data based on the proximity of the distance between observations. The results showed that Gaussian Naïve Bayes produced an accuracy of 91.76%, but was unable to accurately classify stunting classes due to class imbalance and low posterior probability values in minority classes. In contrast, the K- NN method with an optimal parameter value of k=3 produced an accuracy of 97.00% and showed better performance in identifying toddlers with stunting status. Based on these results, the K-NN method is considered superior to Gaussian Naïve Bayes in classifying the nutritional status of toddlers in Takalar Regency.
Perbandingan Luas Area Ekosistem Mangrove Pulau Tanakeke menggunakan Algoritma Random Forest dan Algoritma CART Amal Arfan; Wahidah Sanusi; Muhammad Faisal Juanda; Imam Muhajir Utama; Muhammad Arib Musba Amalul
Media Komunikasi Geografi Vol. 27 No. 1 (2026)
Publisher : Universitas Pendidikan Ganesha

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.23887/mkg.v27i1.113941

Abstract

Penelitian ini bertujuan untuk menganalisis perbandingan luas ekosistem mangrove menggunakan Algoritma Random Forest dan Algoritma CART. Data sampel diproses menggunakan teknik fotogrametri dan dimasukkan ke dalam Google Earth Engine (GEE) melalui API. Pengumpulan data dilakukan dengan metode in situ dan menggunakan drone. Teknik pengambilan sampel acak sistematis digunakan untuk memilih titik sampel berdasarkan interval yang teratur. Pengamatan lapangan dilakukan langsung di lokasi mangrove dengan dokumentasi foto dan koordinat GPS. Penggunaan drone mencakup pengambilan foto transek tegak lurus dan miring untuk memastikan representasi visual habitat. Hasil menunjukkan bahwa algoritma Random Forest (RF) lebih unggul daripada CART dalam pemetaan ekosistem mangrove di Pulau Tanakeke. Hasil RF memperkirakan luas mangrove sebesar 807,24 hektar, sedangkan CART menghasilkan perkiraan yang lebih besar, yaitu 1.097,90 hektar, namun lebih rentan terhadap overfitting karena membangun satu pohon keputusan yang sangat spesifik terhadap data latih tanpa mekanisme pengacakan. RF menunjukkan akurasi sebesar 92,99% dengan nilai Kappa yang tinggi, yang menunjukkan kesesuaian yang sangat baik antara prediksi dan kondisi aktual di lapangan. Sebaliknya, meskipun CART mencapai akurasi sebesar 90,05%, nilai Kappa-nya lebih rendah, yang menunjukkan bahwa stabilitas RF dalam menangani variasi data lebih baik daripada CART. Perbedaan estimasi menunjukkan bahwa overestimasi oleh CART dapat memengaruhi perencanaan pesisir, sehingga Random Forest lebih tepat untuk mendukung kebijakan pengelolaan mangrove.
Optimal Control of an SEIRS Epidemic Model for Online Shopping Addiction Dynamics among University Students Muhammad Isbar Pratama; Wahidah Sanusi; Rhida Anggita Dasri
CAUCHY: Jurnal Matematika Murni dan Aplikasi Vol 11, No 2 (2026): CAUCHY: JURNAL MATEMATIKA MURNI DAN APLIKASI
Publisher : Mathematics Department, Maulana Malik Ibrahim State Islamic University of Malang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.18860/cauchy.v11i2.45099

Abstract

Online shopping addiction is a growing behavioral problem among university students, driven by the rapid development of e-commerce platforms. This study constructs, analyzes, and applies optimal control to an SEIRS (susceptible--exposed--infected--recovered--susceptible) mathematical model of online shopping addiction dynamics among students of the Faculty of Mathematics and Natural Sciences, Universitas Negeri Makassar. The population is divided into susceptible, exposed, addicted, and recovered compartments, and the model incorporates the possibility of relapse from the recovered to the susceptible compartment. The analysis determines the addiction-free and endemic equilibria, examines local stability through Jacobian linearization, and computes the basic reproduction number using the next-generation matrix method. Optimal control is formulated using Pontryagin's minimum principle, with an educational and counseling intervention as the control applied to the addicted compartment. Primary data were obtained from questionnaires distributed to ninety-eight active students, and numerical simulations were carried out using the fourth-order Runge--Kutta and forward--backward sweep methods in Python. The basic reproduction number is approximately 1.03, which is greater than one, indicating that online shopping addiction can persist and spread within the population; consistently, the addiction-free equilibrium is unstable and the endemic equilibrium is locally asymptotically stable. Applying the optimal control suppresses the peak addicted population by 43.1 percent, accelerates the movement of addicted individuals toward recovery during the intervention window, and preserves a substantially larger never-addicted susceptible population. These results demonstrate that educational intervention is mathematically effective in controlling the spread of online shopping addiction.
Analysis of Queue System On Passport Service Unit Class 1 Immigration Office of Makassar Muhammad Abdy; Wahidah Sanusi; Trys Mukarram
Sainsmat : Jurnal Ilmiah Ilmu Pengetahuan Alam Vol. 6 No. 2 (2017): Volume 6 Nomor 2 (September 2017)
Publisher : Fakultas Matematika dan Ilmu Pengetahuan Alam Universitas Negeri Makassar

Show Abstract | Download Original | Original Source | Check in Google Scholar

Abstract

Queuing is a common thing in everyday life and can be found in the manufacturing sector as well as in the service sector.No exception at the agency or government office.ULP (Passport Service Unit) The First Class Immigration Office of Makassar City is a technical implementing unit performing the functions of the Directorate General of Immigration in a certain region or city providing services in the field of mmigration.This study aims to determine the queuing model applied to the Passport Service Unit of the First Class Immigration Office of Makassar City and find out whether the level of service provided is optimal.In the analysis process used manual calculation and supportby software POM for Windows 3.Based on analysis of data obtained after the study, modela queues applied to ULP (Unit Passport Service) Class I Immigration Office of Makassar is the (M/M/S):(FCFS/∞/∞).Queue system at Passport Service Unit First Class Immigration of the Office of Makassar City can be said to be normal on a typical day, because it has met the old standard of service time.So that the system applied is optimal.
EXPLORING THE FUTURE OF HEALTH THROUGH THE SELR MATHEMATICAL MODEL WITH THE 4TH ORDER PERTUBATION HOMOTOPY METHOD ON THE RISK OF DIABETES AMONG MATHEMATICS STUDENTS OF FMIPA UNM DUE TO UNHEALTHY LIFESTYLES Syafruddin Side; Wahidah Sanusi; Andi Muhammad Ridho Yusuf Sainon Andi Pandjajangi
Sainsmat : Jurnal Ilmiah Ilmu Pengetahuan Alam Vol. 14 No. 01 (2025): Volume 14 Nomor 1 (Maret 2025)
Publisher : Fakultas Matematika dan Ilmu Pengetahuan Alam Universitas Negeri Makassar

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.35580/79j6aq16

Abstract

This study aims to obtain a numerical solution of the Susceptible-Exposed-Lifestyle-Recovered (SELR) model for diabetes cases among active students of FMIPA UNM. This SELR model is built based on certain assumptions, then an analysis is carriedout to determine the stability of the model, and simulations are carried out to predict the incidence rate of diabetes. This study is applied research, and the method used to obtain a numerical solution of the SELR model is the 4th Order Homotopy Perturbation Method,using secondary data. The results of this study include a numerical solution of the SELR model for diabetes cases with the Homotopy Perturbation Method, which shows that this model can predict the potential spread of diabetes among students.
Co-Authors A. Armansyah AHMAD FAUZAN RIDHA SUJIONO ahmad yani Ahmad Zaki AHMAD ZAKI Ahmad Zaky Alimuddin Tampa Aliyah Arianti Halim Amal Amal Amal Amal Amal Arfan, Amal Amni Rasyidah Andi Abidah Andi Diki Nurbaldatun Islam Andi Muhammad Ridho Yusuf Sainon Andi Pandjajangi Andini, Reski Anggi Ananda Putri Annas, Suwardi Arkas, Amaliah Nurul Asdar Asdar Asdar Asmi, Nurul Asni, Asriani Arsita Asriani Arsita Asni Aswi, Aswi Aulia, Hikma Awi Dassa, Awi Beby Fitriani Besse Nur Afni Besse Nur Afni Bohari, Nurul Aulia Bohari, Nurul Aulia Diki Nurbaldatun Islam Elma Selviana Darwis Fausiatul Iffa Febriyanto Saman Fitriadita Fitriyani Fitriyani Fitriyani Folorunso, Serifat Adedamola G. Gunawan H. Hasriani Haekal, Muh. Fahri Hafilah Hardiono Hafilah. H Hamzah Upu Harisahani, Nur Hasan Basri Hasanah, Afifatun Hasnawiyah, Hasnawiyah Hasriani Hikma Aulia Hisyam Ihsan Ihsan U, Wa Irma Al Ika Pratiwi Ilham Minggi Ilmadinah Kadir Imam Muhajir Utama Irham Aryandi Basir Irham Aryandi Basir Irma Aswani Ahmad, Irma Aswani Irwan Irwan Irwan Irwan Irwan Irwan Irwan Irwan Thaha Ja'faruddin Ja'faruddin Janide, Anugrah Kahvi Nurani Kaito, Nurlaila Katrina Pareallo Lhenny Ardillah Latif Lisca Palerina Mudinillah, Adam Muh. Idris Muh. Ishaq Firdaus Muhammad Abdy Muhammad Abdy Muhammad Abdy Muhammad Abdy Muhammad Abdy Muhammad Abdy Muhammad Ammar Naufal Muhammad Arib Musba Amalul Muhammad Arif Tiro, Muhammad Arif Muhammad Danial Muhammad Danial Muhammad Danial Muhammad Faisal Juanda Muhammad Farhan Muhammad Farhan Muhammad Isbar Pratama Muhammad Rakib Muhammad Rakib Muhammad Rakib Muhammad Syahrir Muhjria, Muhjria Mukarram, Trys Musliati Musliati Mustati'atul Waidah Maksum Muthia Ramadhani Rafli N Nurfadillah N Nurwakia Nasrullah Nasrullah Nirwana, St. Risma Ayu Nur Anny S. Taufieq Nur Anny S. Taufieq Nur Anny S. Taufieq Nur Anny Suryaningsih Taufieq Nur Fajri Setiawan Nur Hikmayanti Syam Nur Khaerati Rustan Nur Ridiawati Nur Ridiawati Nurani, Kahvi Nurazizah Nurdin, Nur Izzah Nurfadillah Nurhilaliyah, Nurhilaliyah Nurkhalifah Anwar Nurlaila Kaito Nurul Aulia Bohari Nurul Fadilah Syahrul Nyulle, Rusdianto Oktaviana Oktaviana Padjalangi, Andi Muhammad Ridho Yusuf Sainon Andi Palarungi, Andi Gagah Patahuddin, Sudarmin Patasik, Ghadytha Marie Lucia Pertiwi, Ika Pince Salempa Putri, Siti Choirotun Aisyah R. Rusli Rabiatul Adawiyah Rabiatul Adawiyah Rahman, Muhammad Fatur Rahmat Setiawan Rahmat Syam Rahmawati, Rahmawati Reski Andini Rhida Anggita Dasri Risna Ulfadwiyanti Rosidah Rosidah Ruliana Rustan, Nur Khaerati S Sukmawati Sahlan Sidjara Saiful Bahri Saman, Febriyanto Sari, Yulfiana Serly Diliyanti Restu Ningsih Serly Diliyanti Restu Ningsih Setiawan, Nur Fajri Sidjara, Sahlan Siti Helmyati Sudarmin Sudarmin Sukarna Sukarna Sukarna Sukarna Sukarna Sulaiman Sulaiman Suwardi Annas Syafruddin Side SYahnur, Andi Aulia Syuhri, Ajrian Takdir, Nurfajri Hamdani Talib, Dr. Ahmad Tampa, Alimuddin Taty Sulastri Taty Sulastri Taty Sulastri Trys Mukarram Ulfadwiyanti, Risna Usman Mulbar Utami Priono Wahyuliani, Dwi Wahyuni, Maya Sari Wulandari, Natalia Puspita Yusuf S.A.P., Andi Muh. Ridho Zainal, Zaid