cover
Article Per Year (5 Year)
All
Home Page
OAI Link
Editorial Team
Contact
Reviewer
Google Scholar
Contact Name
Asrirawan
Contact Email
asrirawan@unsulbar.ac.id
Phone
+6285214495284
Journal Mail Official
ejomta@unsulbar.ac.id
Editorial Address
Jalan Prof. Dr. Baharuddin Lopa, SH Talumung, Majene Sulawesi Barat
Location
Kab. majene,
Sulawesi barat
INDONESIA
Journal of Mathematics: Theory and Applications
Published by Universitas Sulawesi Barat
ISSN : 26859653     EISSN : 27222705     DOI : https://doi.org/10.31605/jomta
Core Subject : Education,
Mathematics
JOMTA Journal of Mathematics Theory and applications is a national journal intended as a communication forum for mathematicians and other scientists from many practitioners who use mathematics in the research. JOMTA Journal of Mathematics Theory and applications disseminates new research results in all areas of mathematics and their applications. Besides research articles, the journal also receives survey papers that stimulate research in mathematics and their applications. The scope of the articles published in this journal deal with a broad range of mathematics topics, : Numerical Analysis Modeling and Simulation Logic Geometry and Topology Discrete Mathematics and Combinatorics Control and Optimization Applied Mathematics Analysis Algebra and Number Theory Computational Mathematics Statistics and Probability
Arjuna Subject : Matematika - Matematika Terapan
Articles 84 Documents
 5   6   7   8   9 
SDIR Mathematical Approach with Time Delay Factor to Reveal Indonesian Students' Interest in Government Organizations and Internships: A Case in FMIPA UNM Side, Syafruddin; Sanusi, Wahidah; Yusuf S.A.P., Andi Muh. Ridho
Journal of Mathematics: Theory and Applications Vol 6 No 2 (2024)
Publisher : Program Studi Matematika Universitas Sulawesi Barat

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31605/jomta.v6i2.4152

Abstract

This study is to build a time-delay SDIR model on the case of student interest in Organizations and Government Internship Programs, analyze the model and conduct a model simulation to predict the level of student interest cases in Organizations. This study is a theoretical and applied study. Analysis of the time-delay SDIR model of the case of student interest in Organizations, while the model simulation uses Maple Software. The population of the study was active students of FMIPA UNM, with a sample size of 1029 students obtained using the Sloving technique. The results of this study are a mathematical model of SDIR on the case of student interest in Organizations which is a system of differential equations. The model analysis provides a value of the free equilibrium point of the case of student interest in Organizations and a stable endemic equilibrium point. The results also found that the basic reproduction number value for cases without a solution would produce R0n = 9.912507841, which means that in social cases where one individual can influence 9-10 people in their environment to hesitate to participate in organizational activities or internship programs, but on the other hand if the case is given a solution, it will produce R0s = 0.2737372211, which means that there is no psychological spread, where each individual does not influence other individuals.
Perbandingan Model Regresi Data Panel Untuk Analisis Umur Harapan Hidup Di Provinsi Lampung Tahun 2021-2023 Hayati, Marufah
Journal of Mathematics: Theory and Applications Vol 7 No 2 (2025): Volume 7, Nomor 2, 2025
Publisher : Program Studi Matematika Universitas Sulawesi Barat

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31605/jomta.v7i2.4870

Abstract

Umur Harapan Hidup adalah angka rata-rata tahun yang diharapkan bisa dijalani seseorang setelah mencapai usia tertentu. Umur Harapan Hidup digunakan sebagai indikator untuk mengevaluasi seberapa efektif pemerintah dalam meningkatkan kesejahteraan masyarakat secara keseluruhan, terutama dalam upaya meningkatkan kesehatan. Penelitian ini bertujuan untuk menentukan model regresi data panel terbaik, dengan model yang dibandingkan yaitu Common Effect Model (CEM), Fixed Effect Model (FEM), dan Random Effect Model (REM). Variabel yang digunakan terdiri dari Umur Harapan Hidup sebagai variabel dependen (Y), serta Rumah tangga memiliki sumber air minum layak (X1), Rumah tangga memiliki akses hunian layak (X2), dan Rumah tangga memiliki akses sanitasi layak (X3) sebagai variabel independen yang mencakup 15 Kabupaten di Provinsi Lampung dari tahun 2021 hingga 2023. Hasil penelitian menunjukkan bahwa model terbaik adalah Random Effect Model (REM) dengan variabel independent yang signifikan berpengaruh terhadap umur harapan hidup (Y) adalah rumah tangga dengan akses sanitasi layak (X3).
Perbandingan Model ARIMA dan Holt’s Double Exponential Smoothing Untuk Peramalan Harga Emas Indonesia 2025 Wibowo, Afina Zahrah Ananda; Pratama, Bagus Putra; Aulia, Miranda; Kartiasih, Fitri
Journal of Mathematics: Theory and Applications Vol 7 No 2 (2025): Volume 7, Nomor 2, 2025
Publisher : Program Studi Matematika Universitas Sulawesi Barat

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31605/jomta.v7i2.4934

Abstract

Perkembangan ekonomi dan pola pikir masyarakat telah menjadikan investasi sebagai salah satu usaha untuk mempersiapkan perekonomian di masa depan. Investasi emas merupakan salah satu alternatif investasi yang sederhana. Ketika nilai dolar turun, harga emas cenderung akan meningkat sehingga di tengah ketidakstabilan ekonomi global permintaan emas akan naik. Penelitian ini bertujuan untuk membandingkan model ARIMA (Autoregressive Integrated Moving Average) dan Holt’s Double Exponential Smoothing untuk peramalan harga emas Indonesia 2025. Data yang digunakan merupakan harga beli emas di Indonesia dari periode 1 Januari 2024 hingga 31 Desember 2024. Setelah dilakukan perbandingan, nilai Holt’s Double Exponential Smoothing memiliki nilai RMSE, MAE, dan MAPE yang lebih kecil dari Model ARIMA (0,1,3) sehingga model tersebut memiliki akurasi peramalan yang lebih tinggi dibandingkan model ARIMA.
Classification of Regencies/Cities in South Sulawesi Province Based on Business Sectors Using Discriminant Analysis Muthahharah, Isma
Journal of Mathematics: Theory and Applications Vol 7 No 2 (2025): Volume 7, Nomor 2, 2025
Publisher : Program Studi Matematika Universitas Sulawesi Barat

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31605/jomta.v7i2.5359

Abstract

The purpose of this study is to use the Linear Discriminant Analysis (LDA) method to categorize districts and cities in South Sulawesi Province according to their main economic sectors. The Central Statistics Agency (BPS) of South Sulawesi provided data for the period 2019–2023. The dependent variable was classified according to GDP (GRDP) quartiles within economic sectors, while the independent variables were the Labor Force Participation Rate (LBFR), the Number of Business Units (NBE), and the Open Unemployment Rate (OUR). The findings indicate that the most important factors in group differentiation are TPA and TPT. The classification accuracy was only 37.5%, although the model met important assumptions such as normality, homogeneity of covariance, and the absence of multicollinearity. This suggests that the model should be further improved by adding more in-depth predictors or using more differentiated categorization techniques.
Clustering of Disaster Risk in Indonesian Regions Using Self-Organizing Maps and K-Means Hardianti Hafid; Isma Muthahharah
Journal of Mathematics: Theory and Applications Vol 7 No 2 (2025): Volume 7, Nomor 2, 2025
Publisher : Program Studi Matematika Universitas Sulawesi Barat

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31605/jomta.v7i2.5365

Abstract

Indonesia is one of the countries with a high level of vulnerability to natural disasters, making accurate risk mapping essential to support mitigation planning. This study aims to cluster the provinces of Indonesia based on disaster occurrence characteristics using a hybrid approach of Self-Organizing Maps (SOM) and K-Means. The data were obtained from the Indonesian National Disaster Management Agency (BNPB), covering the frequency and types of disasters such as floods, extreme weather, eruptions, abrasion, earthquakes, forest/land fires, droughts, and landslides. The SOM representation results were clustered using K-Means, with the optimal number of clusters determined through the evaluation of the Davies–Bouldin index, Silhouette coefficient, and connectivity measure. The analysis revealed that two clusters provided the best separation: Cluster 1 includes most provinces with medium to low multi-hazard risk, while Cluster 2 consists of West Java, Central Java, and East Java, which have high hydrometeorological risk. This hybrid SOM and K-Means approach successfully identifies the spatial patterns of disaster risk and can serve as a reference for the government in formulating region-based mitigation strategies.
Optimal Strategy and Cost Effectiveness Analysis for Conservation of The Endangered Maleo: A Mathematical Approach Darmawati; Nur, Wahyudin
Journal of Mathematics: Theory and Applications Vol 7 No 2 (2025): Volume 7, Nomor 2, 2025
Publisher : Program Studi Matematika Universitas Sulawesi Barat

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31605/jomta.v7i2.5626

Abstract

Maleo is a large megapod found on the island of Sulawesi and surrounding islands and is an endangered species due to illegal hunting and habitat conversion. In this article, we propose a mathematical model for Maleo conservation. The model that is constructed is expressed as a system of ordinary differential equations consisting of five equations. To study the optimal strategy, we use optimal control theory. In our model there are three control parameters related to guarding Maleo nests, monitoring Maleo habitats, and transferring Maleo eggs to captivity. To measure the impact and the consequences of each intervention scheme, we determine the percentage increase in the Maleo population and the average cost-effectiveness ratio. Our results show that the most effective intervention scheme to increase Maleo populations is a combination of guarding Maleo nests, monitoring Maleo habitats, and transferring Maleo eggs to captivity. Meanwhile, the intervention scheme that has the best cost-effectiveness is the intervention scheme which is a combination of guarding Maleo nests and monitoring Maleo habitats.
Penerapan Regresi Robust Dengan Estimasi Least Median Square Dalam Mengatasi Outlier Sitti Sahriman; Zaid Faidhu Rabbani; Rais, Muh. Rifky Satria Agung; Ahmad Juzril; Dian Ainurridha
Journal of Mathematics: Theory and Applications Vol 7 No 1 (2025): Volume 7, Nomor 1, 2025
Publisher : Program Studi Matematika Universitas Sulawesi Barat

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31605/jomta.v7i1.3500

Abstract

Indeks Pembangunan Manusia (IPM) merupakan salah satu indicator tercapainya pembangunan ekonomi. Indeks Pembangunan Manusia mempunyai tiga unsur yaitu kesehatan, pendidikan yang dicapai, dan standar kehidupan atau sering disebut ekonomi. Regresi robust merupakan metode yang digunakan ketika data terdapat pencilan. Estimasi LMS adalah salah satu metode dalam regresi robust. Estimasi Least Median Square (LMS) adalah pendekatan statistik yang tahan terhadap outlier. Dalam setiap iterasinya, LMS mengidentifikasi dan menghilangkan outlier untuk memberikan estimasi yang lebih stabil dan andal. Dengan fokus pada median, LMS mengurangi pengaruh titik data ekstrem, sehingga menghasilkan hasil yang lebih konsisten. Variabel yang digunakan dalam penelitian ini adalah pengaruh harapan lama sekolah, angka harapan hidup, dan pengeluaran per kapita. Penelitian ini menggunakan 38 objek observasi (38 Kabupaten/Kota) pada Provinsi Jawa Timur pada tahun 2021. Hasil menunjukkan bahwa harapan lama sekolah, angka harapan hidup, dan pengeluaran per kapita rill secara simultan maupun parsial berpengaruh positif dan signifikan terhadap indeks pembangunan manusia di Provinsi Jawa Timur. Hasil penelitian ini dapat berkontribusi terhadap indeks pembangunan manusia di Indonesia, terkhusus pada Provinsi terkait sehingga dapat dijadikan masukan ataupun pertimbangan dalam mengembangkan kebijakan pemerataan pembangunan manusia di masa yang akan datang.
Penerapan Model Pertumbuhan Populasi Malthus dan Verhulst untuk Estimasi Jumlah Penduduk di Provinsi Sulawesi Selatan Fitria Syawal; Ilham Syata; Hikmawati Pathuddin; Risnawati Ibnas
Journal of Mathematics: Theory and Applications Vol 7 No 1 (2025): Volume 7, Nomor 1, 2025
Publisher : Program Studi Matematika Universitas Sulawesi Barat

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31605/jomta.v7i1.4280

Abstract

Pertumbuhan jumlah penduduk merupakan pertambahan atau bertambahnya jumlah penduduk di suatu daerah dalam waktu tertentu. Peningkatan tersebut dapat menimbulkan dampak yang negatif bagi masyarakat , akan terjadi keseimbangan antara jumlah penduduk dan sumber daya yang tersedia. Oleh karena itu, perlu dilakukan estimasi untuk perencanaan pembangunan di masa yang akan datang. Penelitian ini membahas perbandingan model Malthus dan Verhulst sebagai model yang digunakan untuk memperkirakan jumlah penduduk di Provinsi Sulawesi Selatan berdasarkan kelompok umur dan jenis kelamin. Hasil dari perbandingan yang diperoleh bahwa model yang akurat untuk melakukan estimasi jumlah penduduk adalah model Verhulst. Hal ini diperoleh dari perhitungan masing-masing galat kedua model yaitu galat model Verhulst lebih kecil dari model Malthus yakni sebesar 4,34% penduduk laki-laki serta kelompok umurnya sebesar 1,77% sedangkan penduduk perempuan sebesar 3,20% dengan kelompok umur 1 ,12%. Hasil estimasi jumlah penduduk Provinsi Sulawesi Selatan menggunakan model Verhulst tahun 2033 diperkirakan akan mencapai 10.601.940 jiwa.
Implementasi Statistika Spatial Autoregressive Moving Average dalam Pelacakan Hubungan Spasial Antara Faktor Sosial Budaya dan Kejadian Kriminalitas wahyu, reski; Ekawati, Darma
Journal of Mathematics: Theory and Applications Vol 7 No 1 (2025): Volume 7, Nomor 1, 2025
Publisher : Program Studi Matematika Universitas Sulawesi Barat

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31605/jomta.v7i1.4552

Abstract

High crime rates can have an impact on social stability, quality of life, and economic development in a region. Therefore, it is important to know the socio-cultural factors that influence crime rates in order to provide new insights to support data-based decision making. The relationship between these factors and crime is often non-linear and can be influenced by spatial effects, so a method is needed that considers spatial effects such as the Spatial Autoregressive Moving Average (SARMA). SARMA is not only able to capture spatial autocorrelation patterns, but can also identify the influence of interdependence between regions over a certain period of time. Furthermore, the Lagrange multiplier test is used to see the presence of spatial autocorrelation specifically. From the results of the analysis carried out, there are 4 significant factors, namely population density, unemployment rate, number of places of worship, and average length of schooling. Furthermore, the results of the spatial autocorrelation analysis using LISA show that there are three districts/cities identified as having spatial autocorrelation with a significance level of 0.05. This means that Bone Regency, Maros Regency, and Pangkajene Kepulauan Regency have a more significant influence on the surrounding areas.
A Application of Correlation Analysis to the increase in fuel prices on inflation in Indonesia Muthahharah, Isma
Journal of Mathematics: Theory and Applications Vol 7 No 1 (2025): Volume 7, Nomor 1, 2025
Publisher : Program Studi Matematika Universitas Sulawesi Barat

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31605/jomta.v7i1.4720

Abstract

Fuel is one of the products that can be traded from oil and gas natural resources. The increase in fuel prices has caused a decrease in people's purchasing power and also greatly affects demand and supply. The purpose of this study is to observe the effect of changes in the price of fuel oil (BBM), especially the type of Pertamax, on the inflation rate in Indonesia in the period March 2020 to March 2024. Fuel price data is sourced from Pertamina reports, while inflation rate data is obtained from Bank Indonesia reports. The type of research conducted is quantitative research. The results showed that the Spearman correlation analysis between the Inflation and Fuel variables in Indonesia during the period March 2020 to March 2024 showed a strong and statistically significant positive relationship between the two. It is concluded that when the price of Pertamax fuel increases, the inflation rate tends to also increase, and vice versa.

Page 8 of 9 | Total Record : 84

 5   6   7   8   9 

Filter by Year

2019 2025


Reset
Filter By Issues
All Issue Vol 7 No 2 (2025): Volume 7, Nomor 2, 2025 Vol 7 No 1 (2025): Volume 7, Nomor 1, 2025 Vol 6 No 1 (2024): Volume 6, Nomor 1, 2024 Vol 6 No 2 (2024) Vol 5 No 2 (2023): Volume 5, Nomor 2, 2023 Volume 5, Nomor 1, 2023 Volume 4, Nomor 2, 2022 Volume 4, Nomor 1, 2022 Volume 3, Nomor 2, 2021 Volume 3, Nomor 1, 2021 Volume 2, Nomor 2, 2020 Volume 2, Nomor 1, 2020 Volume 1, Nomor 2, 2019 More Issue