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All Journal Jurnal Matematika BAREKENG: Jurnal Ilmu Matematika dan Terapan Zeta - Math Journal Proximal: Jurnal Penelitian Matematika dan Pendidikan Matematika Jambura Journal of Biomathematics (JJBM) Tensor: Pure and Applied Mathematics Journal MOVE: Journal of Community Service and Engagement Jurnal Matematika Integratif Parameter: Jurnal Matematika, Statistika dan Terapannya
Zeth Arthur Leleury, Zeth Arthur
Jurusan Matematika FMIPA, Universitas Pattimura
Humanities Computer Science & IT Control & Systems Engineering Decision Sciences, Operations Research & Management Economics, Econometrics & Finance Electrical & Electronics Engineering Energy Engineering Mathematics Mechanical Engineering Physics Transportation

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Mapping of the Transportation Sector in Maluku Province Using Biplot Analysis Leleury, Zeth Arthur; Radjabaycolle, Jefri Esna Thomas; ilwaru, Venn Y. I.; Sinay, Lexy Jansen; Wattimena, Abraham Z.
Tensor: Pure and Applied Mathematics Journal Vol 5 No 2 (2024): Tensor: Pure and Applied Mathematics Journal
Publisher : Department of Mathematics, Faculty of Mathematics and Natural Sciences, Pattimura University, Ambon, Indonesia

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30598/tensorvol5iss2pp57-66

Abstract

The transportation sector is one sector that contributes to economic development. Economic activity will develop if it has good infrastructure and transportation facilities for accessibility. This study aims to map regencies/cities in Maluku province based on the characteristics of the transportation sector. The method used is Biplot analysis. Based on the results of the study, it was found that the results of mapping 11 regencies/cities in Maluku Province if grouped according to the location of the quadrant divided into 2 clusters, namely Cluster 1 consisting of the City Ambon, West Seram Regency, Central Maluku Regency, Buru Regency, Tual City, Southeast Maluku Regency, and Tanimbar Islands Regency. The seven regencies/cities have similar characteristics of the transportation sector in the percentage of villages where public transportation is available with fixed routes, the widest type of land surface is asphalt/concrete, and the road can be passed by four wheels throughout the year. While Cluster 2 consists of Eastern Seram Regency, South Buru Regency, Southwest Maluku Regency, and Aru Islands Regency. The four regencies have similar characteristics of the transportation sector in the percentage of villages based on the availability of land and sea transportation infrastructure, the availability of sea transportation infrastructure only, public transportation is not available or available without a fixed route, the widest type of land surface is in the form of soil or hardened with gravel, the road cannot be passed by four wheels or four wheels can pass but only in the dry season. Meanwhile, based on the Euclidean distance, it can be made more specific into 4 clusters, namely Cluster 1 is Ambon City, Cluster 2 includes West Seram Regency, Central Maluku Regency, Buru Regency, Tual City, Southeast Maluku Regency, and Tanimbar Islands Regency. Meanwhile, Cluster 3 includes Eastern Seram Regency, South Buru Regency, and Southwest Maluku Regency, and Cluster 4 is Aru Islands Regency.
The Total Disjoint Irregularity Strength of a Double and Triple Star Graphs Tilukay, Meilin Imelda; Titawanno, Tasya I.; Leleury, Zeth Arthur; Taihutu, Pranaya Dharia M.; Loves, Luvita
Tensor: Pure and Applied Mathematics Journal Vol 5 No 2 (2024): Tensor: Pure and Applied Mathematics Journal
Publisher : Department of Mathematics, Faculty of Mathematics and Natural Sciences, Pattimura University, Ambon, Indonesia

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30598/tensorvol5iss2pp105-110

Abstract

Solusi Numerik Model SITA Menggunakan Metode Runge Kutta Fehlberg Untuk Memprediksi Penyebaran Penyakit HIV/AIDS Di Provinsi Maluku Serlaloy, Marshanda Nalurita; Rijoly, Monalisa E.; Leleury, Zeth Arthur
Proximal: Jurnal Penelitian Matematika dan Pendidikan Matematika Vol. 7 No. 2 (2024): Menjembatani Matematika dan Pendidikan Matematika menuju Pemanfaatan Berkelanju
Publisher : Universitas Cokroaminoto Palopo

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30605/proximal.v7i2.4021

Abstract

This research aims to predict the spread of HIV/AIDS in Maluku Province using the Runge Kutta Fehlberg method. The mathematical model of the spread of HIV/AIDS disease is in the form of a system of differential equations that includes Susceptible (S) variable, namely individuals who are healthy but vulnerable to being infected with the HIV virus, Infected (I) variable namely individuals who are infected with the HIV virus, Treatment (T) variable namely individuals who receive antiretroviral therapy and AIDS (A) variable namely individuals who contract AIDS disease used as initial values. Values as parameter values are solved numerically using the Runge Kutta Fehlberg method performed as many as 10 iterations with an interval time of using data from Maluku Provincial Health Office and BPS-Statistics Indonesia from 2013 to 2022. Based on the data obtained, the average value of the data is used as the initial value where . The initial values and parameter values are substituted into the numerical solution and simulated using software Matlab as tools. The rate value of each class for the next 10 years is for the class rate of individuals susceptible to HIV infection (S) of 1.757.102 people, for the class rate of HIV-infected individuals (I) of 2482 people, for the class rate of individuals receiving antiretroviral treatment (ARV) (T) of 1516 people and for the class rate of individuals with AIDS (A) of 555 people. This means that the (S) and (T) populations will decrease over the next 10 years while the (I) and (A) populations will increase over the next 10 years.
PENGELOMPOKKAN DAN PEMETAAN KARAKTERISTIK KEMISKINAN DI KABUPATEN MALUKU BARAT DAYA PROVINSI MALUKU DENGAN MENGGUNAKAN SELF-ORGANIZING MAP DAN ANALISIS BIPLOT Leleury, Zeth Arthur; Tomasouw, Berny Pebo
BAREKENG: Jurnal Ilmu Matematika dan Terapan Vol 13 No 2 (2019): BAREKENG: Jurnal Ilmu Matematika dan Terapan
Publisher : PATTIMURA UNIVERSITY

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (210.024 KB) | DOI: 10.30598/barekengvol13iss2pp093-106ar810

Abstract

Berdasarkan hasil survei sosial ekonomi nasional (SUSENAS) BPS Provinsi Maluku menunjukkan bahwa kabupaten Maluku Barat Daya (MBD) merupakan kabupaten yang memiliki persentase tingkat kemiskinan tertinggi di provinsi Maluku dengan persentase tingkat kemiskinan 30,18 persen. Penelitian ini bertujuan untuk melakukan pengelompokkan desa/kecamatan di Kabupaten MDB guna melihat karakteristik kemiskinan pada setiap cluster. Selain itu, juga dilakukan pemetaan karakteristik kemiskinan untuk setiap desa/kecamatan di Kabupaten MBD sebagai upaya untuk mengetahui keragaman karakteristik kemiskinan. Metode pengelompokkan yang digunakan adalah algoritma jaringan syaraf tiruan Self Organizing Map (SOM) dan Biplot. Hasil penelitian memperlihatkan bahwa hasil pengelompokkan terbaik adalah dengan metode Biplot karena memiliki rasio yang lebih kecil. Adapun hasil pengelompokkan 17 kecamatan di kabupaten MBD terbagi dalam 4 cluster yakni cluster 1 terdiri kecamatan Pulau-Pulau Terselatan, Letti dan Moa; cluster 2 terdiri dari kecamatan Pulau-Pulau Babar dan Babar Timur; cluster 3 terdiri dari kecamatan Pulau Masela, Mdona Hyera, Kepulauan Romang, Damer, Wetar, dan Wetar Barat; sedangkan cluster 4 terdiri dari kecamatan Wetar Utara, Wetar Timur, Kisar Utara, Lakor, Dawelor Dawera dan Pulau Wetang. Ada 11 faktor yang mempengaruhi sehingga cluster 4 tergolong dalam cluster dengan karakteristik kemiskinan tertinggi. Sedangkan ada 4 faktor yang mempengaruhi sehingga cluster 3 tergolong dalam cluster dengan karakteristik kemiskinan cukup tinggi.
PENYELESAIAN SISTEM PEMBENTUKAN SEL PADA HYDRA MENGGUNAKAN METODE BEDA HINGGA SKEMA EKSPLISIT Sambono, Y.; Leleury, Zeth Arthur; Tomasouw, Berny Pebo; Rahakbauw, Dorteus L.
BAREKENG: Jurnal Ilmu Matematika dan Terapan Vol 14 No 4 (2020): BAREKENG: Jurnal Ilmu Matematika dan Terapan
Publisher : PATTIMURA UNIVERSITY

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (859.505 KB) | DOI: 10.30598/barekengvol14iss4pp481-490

Abstract

Mathematical models that describes the pattern of cell formation in hydra are expressed in a system of equations known as the Meinhardt model. This model is a continuous model in the form of diffusion equations. Thus, one of the studies which can be applied to Meinhardt equation is discretization. The finite difference model is a numerical method that can describe the discrete form of a continuous differential form. The method used in this study is finite different methods implementing explicit scheme. The advantage of the explicit scheme is easier to use for solving non-linear partial differential equations. This method used finite forward difference for derivatives of 𝑡 and finite centre difference for derivatives of 𝑥 at theactivator 𝑎(𝑥, 𝑡) and inhibitor 𝑏(𝑥, 𝑡). The Steps conducted by analyzing Meinhardt equation andcontinued with discretization such that earn the solution of system cell formation in hydra. According to the research its found that the activator cell population graphic have cell growth disposed ascend by the unit time, be different with the inhibitor cell population disposed descend of cell growth by the unit time.
FUZZY LOGIC APPLICATION ON EMPLOYEE ACHIEVEMENT ASSESSMENT (CASE STUDY: EDUCATION QUALITY ASSURANCE INSTITUTE OF MALUKU PROVINCE) Nurhidayah, Nurhidayah; Lesnussa, Yopi Andry; Leleury, Zeth Arthur
BAREKENG: Jurnal Ilmu Matematika dan Terapan Vol 16 No 3 (2022): BAREKENG: Journal of Mathematics and Its Applications
Publisher : PATTIMURA UNIVERSITY

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (800.983 KB) | DOI: 10.30598/barekengvol16iss3pp877-886

Abstract

Employee achievement assessment in an agency is essential for agency planning and evaluation. Therefore, the Employee achievement assessment must be carried out with a good and appropriate method so that it can guarantee fair and satisfactory treatment for the assessed employees. The value of employee achievement is determined by 60% of the target value of employee achievement and 40% of the average employee behavior value consisting of service orientation, integrity, commitment, discipline, and cooperation. The writing and discussion of this research are about the application of the fuzzy logic Mamdani method using MATLAB software in determining the work performance value of the Maluku Education Quality Assurance Institution (LPMP) employees based on the target value of employee achievement and behavioral values. The Mamdani method’s calculation level of truth is 94%, so it can be concluded that the fuzzy logic of the Mamdani method can be used to measure the performance value of employees.
DYNAMIC ANALYSIS OF SEITR MATHEMATICAL MODEL ON THE SPREAD OF HEPATITIS B DISEASE IN AMBON CITY Larubun, Swine Enggelina; Leleury, Zeth Arthur; Lesnussa, Yopi Andry; Tahalea, Sylvert Prian; Warong, Maria Marlein
BAREKENG: Jurnal Ilmu Matematika dan Terapan Vol 18 No 3 (2024): BAREKENG: Journal of Mathematics and Its Application
Publisher : PATTIMURA UNIVERSITY

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30598/barekengvol18iss3pp1989-2000

Abstract

Hepatitis B is a disease caused by infection with the HBV (Hepatitis B Virus) virus that commonly infects the liver and can develop into liver cancer. The disease can be transmitted through blood, semen, breast milk, saliva, vaginal fluids, and sperm. One effective way to prevent Hepatitis B disease is by vaccination. This study will construct a mathematical model, such as the SEITR model, to study the spread of Hepatitis B disease in Ambon City. The SEITR epidemic model is a disease spread model that divides the population into five subpopulation classes, namely the susceptible individual subpopulation class, the exposed individual subpopulation class, the infected individual subpopulation class, the treatment individual subpopulation class, and the recovered individual subpopulation class. Based on the dynamic system analysis conducted, two equilibrium points were obtained, namely the disease-free equilibrium point and the endemic equilibrium point. In addition, based on the data and simulation results, it can be concluded that the spread of Hepatitis B in Ambon City depends on the transmission rate from infected individuals to susceptible individuals
Analisis Perbandingan Optimasi Stochastic Gradient Descent dan Adaptive Moment Estimation dalam Klasifikasi Emosi dari Audio Menggunakan Convolutional Neural Network Tutuhatunewa, Aldelia Jocelyn; Rahakbauw, Dorteus Lodewyik; Leleury, Zeth Arthur
Tensor: Pure and Applied Mathematics Journal Vol 6 No 1 (2025): Tensor: Pure and Applied Mathematics Journal
Publisher : Department of Mathematics, Faculty of Mathematics and Natural Sciences, Pattimura University, Ambon, Indonesia

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30598/tensorvol6iss1pp13-22

Abstract

Emotion plays a fundamental role in human life, influencing behavior, social interaction, anddecision-making. Successful communication and understanding between individuals depend greatly on ourability to recognize and express emotions. In this context, sound or audio plays a key role as a medium thatreflects and conveys human emotional expression. In the era of information technology and artificialintelligence, emotion recognition through sound has become a growing focus of research. Machine learningalgorithms, particularly neural networks, can be trained to understand and classify emotions conveyed invarious forms, including text, images, videos, and audio. Among these algorithms, Convolutional NeuralNetwork (CNN) has shown promising performance in emotion classification tasks. In this study, thecomparison between Stochastic Gradient Descent (SGD) and Adaptive Moment Estimation (Adam)optimizers in emotion classification from audio using CNN is investigated. The research aims to determinethe optimal optimizer for emotion classification tasks. The results suggest that SGD optimizer outperformsAdam in terms of overall accuracy, with SGD achieving 53% accuracy compared to Adam's 48% accuracy inThe Ryerson Audio-Visual Database of Emotional Speech and Song (RAVDESS) dataset. Therefore, foremotion classification from audio data, Stochastic Gradient Descent (SGD) optimizer is recommended forbetter performance.
Simulasi Model Matematika Dispersi Larutan Limbah Pada Saluran Air LELEURY, ZETH ARTHUR; TOMASOUW, BERNY PEBO
Zeta - Math Journal Vol 4 No 2 (2019): November
Publisher : Universitas Islam Madura

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (422.509 KB) | DOI: 10.31102/zeta.2019.4.2.28-33

Abstract

Water pollution is now a condition that needs special attention. One source of water pollution comes from waste solutions that produce pollutants that can reduce water quality. The Chemical Oxygen Demand (COD) number is a parameter used to measure waste pollution. The purpose of this research is to examine the effect of flow velocity and rate of change of substances on COD concentrations. The method used in this research is a finite difference method to express the discrete form of a mathematical model of the dispersion of a waste solution in a water channel. The results show that the greater the flow velocity, the lower the COD concentration and the greater the rate of change in the concentration of substances, the higher the COD concentration. So if the COD is high then the water quality is not good to use or in other words the water can be said to be polluted.
PENGELOMPOKAN KABUPATEN/KOTA UNTUK MENGANALISIS KEBUTUHAN GURU SMA/SMK NEGERI DI PROVINSI MALUKU MENGUNAKAN METODE ANALISIS BIPLOT Tuhumury, Eunike J. M.; Leleury, Zeth Arthur; Rahakbauw, Dorteus Lodewyik
Parameter: Jurnal Matematika, Statistika dan Terapannya Vol 2 No 2 (2023): 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/parameterv2i02pp135-144

Abstract

Pemerataan kebutuhan guru di setiap sekolah menjadi hal penting dalam menunjang pendidikan. Data BPS Provinsi Maluku menunjukkan bahwa pada tahun 2022 masih ada sekolah yang kekurangan tenaga guru. Hal ini tentunya berdampak pada masih ada guru yang mengajar tidak sesuai dengan latar belakang pendidikan. Solusi yang dapat dijadikan acuan adalah melalui pengelompokan kabupaten/kota sebagai acuan dalam analisis kebutuhan guru. Tujuan dari penelitian ini adalah menerapkan metode analisis Biplot untuk mengelompokkan kabupaten/kota yang ada di Provinsi Maluku berdasarkan data rasio jumlah guru terhadap jumlah sekolah dan rasio jumlah siswa terhadap jumlah guru SMA/SMK Negeri. Dari hasil penelitian diperoleh 3 kluster yaitu Kluster I terdiri dari Kota Ambon, Kluster II terdiri dari Kabupaten Maluku Tenggara, Kabupaten Kepulauan Aru, Kabupaten Seram Bagian Barat, Kabupaten Maluku Tengah, Kota Tual, Kabupaten Buru, dan Kepulauan Tanimbar, dan Kluster III terdiri dari Kabupaten Maluku Barat Daya, Kabupaten Seram Bagian Timur, dan Kabupaten Buru Selatan. Hasil analisis menunjukkan bahwa perlu adanya penambahan tenaga guru pada SMA/SMK negeri di kabupaten yang ada pada Kluster III guna memenuhi kebutuhan minimal jumlah guru.
Co-Authors Abraham Zakharia Wattimena Alva Grace Naraha Aulele, Salmon Notje Beay, Lazarus Kalvein Citra Fathia Palembang Haumahu, Gabriella Ilwaru, Venn Y. I. Jefri Esna Thomas Radjabaycolle Johan Bruiyf Bension Julianty Madiuw Kololu, Selvy Marchia Larubun, Swine Enggelina Latuconsina, Umi Aulia Vasa Loves, Luvita Madiuw, Julianty Meilin Imelda Tilukay Novita Dahoklory Nurhidayah Nurhidayah Patty, Dyana Patty, Henry Willyam Michel Radjabaycolle, Jefri Esna Thomas Rahakbauw, Dorteus L. RAHAKBAUW, DORTEUS LODEWYIK Rijoly, Monalisa E. RUMLAWANG, FRANCIS YUNITO Salmon Notje Aulele, Salmon Notje Sambono, Y. Serlaloy, Marshanda Nalurita Sinay, Lexy Jansen Tahalea, Sylvert Prian Taihutu, Pranaya Dharia M. Talakua, Mozart Winston Tapilatu, Stevany Titawanno, Tasya I. Tomasouw, Berny Pebo Tuhumury, Eunike J. M. Tutuhatunewa, Aldelia Jocelyn Warong, Maria Marlein Wattimena, Abraham Z. Wattimena, Abraham Zacaria Windy Pramudita Yopi Andry Lesnussa Yulia S. Kakisina