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INDONESIA
JURNAL MATEMATIKA STATISTIKA DAN KOMPUTASI
Published by Universitas Hasanuddin
ISSN : 18581382     EISSN : 26148811     DOI : -
Core Subject : Education,
Mathematics
Jurnal ini mempublikasikan paper-paper original hasil-hasil penelitian dibidang Matematika, Statistika dan Komputasi Matematika.
Arjuna Subject : -
Articles 534 Documents
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Integrating Bibliometric Analysis Using VosViewer and Path Analysis to Model Farmer Loyalty Viky Iqbal Azizul Alim; Candra Rezzining Wulat Sariro Weni Utomo; Arifin Arifin; Firdha Mahrifatul Zana
Jurnal Matematika, Statistika dan Komputasi Vol. 23 No. 1 (2026): September 2026
Publisher : Department of Mathematics, Hasanuddin University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.20956/1tmzsm24

Abstract

This study aims to develop a comprehensive model of farmer loyalty by integrating bibliometric mapping and path analysis. A Systematic Literature Review (SLR) combined with bibliometric analysis using VOSviewer was conducted on 434 Scopus-indexed documents to identify key variables. The results revealed that farmer needs is a dominant variable with strong relevance in the research network. Based on these findings, a path analysis model was constructed to examine the relationships among farmer needs, farmer success, and farmer loyalty. The results indicate that farmer needs and farmer success have a significant direct effect on farmer loyalty. Furthermore, farmer success partially mediates the relationship between farmer needs and farmer loyalty, indicating both direct and indirect influences. The model evaluation shows a high coefficient of total determination (=0.9340), suggesting that 93.40% of the variation in farmer loyalty can be explained by the proposed model. This study contributes methodologically by integrating bibliometric mapping with statistical modeling and provides practical insights for improving farmer loyalty through the fulfillment of farmer needs and support for agricultural success.
Significant Wave Height Forecasting in the Singapore Strait: Deep Learning Ensemble Stacking with ERA5-IDW Data Sandy Salomo Saruan; Gusti Ayu Dwi Yanti
Jurnal Matematika, Statistika dan Komputasi Vol. 23 No. 1 (2026): September 2026
Publisher : Department of Mathematics, Hasanuddin University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.20956/48n17666

Abstract

Accurate significant wave height (SWH) forecasting in the Singapore Strait is critical for maritime safety and marine risk assessment along one of the world’s busiest shipping corridors. This study develops a deep learning ensemble stacking framework for one-step-ahead SWH forecasting using hourly ERA5 reanalysis data spanning January 2021 to December 2025, spatially interpolated to a single target point via Inverse Distance Weighting (IDW) from five ERA5 grid points. Four architectures: Long Short-Term Memory (LSTM), Gated Recurrent Unit (GRU), Patch Time Series Transformer (PatchTST), and inverted Transformer (iTransformer) are systematically evaluated against a persistence baseline (RMSE = 0.0188 m), with GRU achieving the best individual performance (RMSE = 0.0153 m, MAPE = 4.58%,  = 0.9814), while ridge regression stacking of GRU with Transformer-based models achieves the overall best performance (RMSE = 0.0151 m, MAPE = 4.54%,  = 0.9820) classified as highly accurate. Transformer-based architectures individually fail to capture SWH variability in this fetch-limited regime yet contribute complementary residual information as stacking base learners. The proposed pipeline establishes a replicable methodology for wave climate forecasting in narrow straits under resolved by global reanalysis products, with potential utility as an environment risk covariate for actuarial modeling in marine cargo insurance underwriting
SEIR-SEI DENGUE TRANSMISSION DYNAMICS IN KUPANG CITY: STABILITY AND SENSITIVITY ANALYSIS Dhini Juniarti Putri; Ariyanto Aryanto; Mira Wadu; Maria Lobo
Jurnal Matematika, Statistika dan Komputasi Vol. 23 No. 1 (2026): September 2026
Publisher : Department of Mathematics, Hasanuddin University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.20956/zfgvta89

Abstract

Dengue fever continues to pose a persistent public health challenge in Kupang City, as case counts have shown inconsistent trends from year to year. An SEIR-SEI mathematical modeling framework is applied in this study to examine the dynamics of dengue spread and to determine intervention strategies that may effectively reduce transmission. The objectives are to determine equilibrium points and the basic reproduction number (R0 ), analyze the local stability of the disease-free equilibrium, and evaluate parameter sensitivity. The value of R0 was estimated using monthly dengue case data in Kupang City from 2020 to 2024 under assumption of exponential growth in the infected population. The analysis produced an estimated value of R0 = 1,64 > 1, indicating the potential persistence and spread of dengue transmission within the population. Stability analysis shows that the disease-free equilibrium is locally unstable when R0 > 1. Sensitivity analysis reveals that natural mosquito mortality (μv) is the most influential parameter affecting R0 . These findings indicate that vector population control through insecticides, larvicides, mosquito breeding-site elimination represents the most effective strategy for reducing dengue transmission in Kupang City.
Stability Analysis and Optimal Control of the SEIR-SI Model for the Spread of Dengue Hemorrhagic Fever with Treatment Control Rido Tarigan; Pardomuan Sitompul
Jurnal Matematika, Statistika dan Komputasi Vol. 23 No. 1 (2026): September 2026
Publisher : Department of Mathematics, Hasanuddin University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.20956/f1p6zr54

Abstract

Dengue Hemorrhagic Fever (DHF) is an infectious disease caused by the dengue virus and transmitted through the bite of the Aedes aegypti mosquito. This study aims to analyze the stability and optimal control of the SEIR-SI mathematical model for the spread of DHF. The model was developed from the existing SIR-SI model, incorporating the addition of an Exposed class (Eh) to represent the virus incubation period in humans, as well as a control variable u(t) representing medical intervention in the form of accelerated recovery of infected individuals. The model consists of six compartments : Susceptible human (Sh), Exposed human (Eh), Infected human (Ih), Recovered human (Rh), Susceptible vector (Sv), and Infected vector (Iv). Equilibrium analysis yields two equilibrium points: the disease-free equilibrium (E₀) and the endemic equilibrium (E₁). The basic reproduction number (R₀) is determined using the Next Generation Matrix method. Stability analysis based on the Routh-Hurwitz criterion shows that E₀ is locally asymptotically stable when R₀ < 1, and E₁ is locally asymptotically stable when R₀ > 1. Optimal control is formulated using Pontryagin's Maximum Principle, with an objective function that minimizes the number of infected individuals and intervention costs. Numerical simulation is carried out using the Forward-Backward Sweep method with the RK45 solver in Python over a time horizon of T = 12 months. Simulation results show that the application of optimal control reduces the peak number of infected humans by 14.05% and the total cumulative disease burden by 20.93% compared to the no-intervention scenario. The optimal control profile u(t) ≈ 0.9 for nearly the entire control period indicates that consistent and sustained medical intervention is required to effectively suppress the spread of DHF.
Application of the SARIMA Method for Forecasting Inflation in Malang City for the Period May-December 2026: Peramalan Inflasi Kota Malang Periode 2016 - 2026 Menggunakan Metode SARIMA SILMA ISTAFLAHA; Andi Daniah Pahrany; Muhammad Arief Nurohman
Jurnal Matematika, Statistika dan Komputasi Vol. 23 No. 1 (2026): September 2026
Publisher : Department of Mathematics, Hasanuddin University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.20956/72x6v725

Abstract

Inflation is an important indicator in maintaining economic stability. Inflation is defined as a general increase in the prices of goods and services. The government and Bank Indonesia have agreed to set the inflation target range for 2026 at 2,51%. Although the government has set the inflation target range, regional characteristics can influence inflation. Inflation YoY in Malang City in 2026 can be predicted using the SARIMA forecasting method. The stages in forecasting using ARIMA  include data analysis, data stationarity, model development, model testing, error calculation, and forecasting. Forecasting of Malang City's Inflation YoY in 2026 was carried out using the ARIMA (0,1,1)(0,0,1)12 model, which produced a MAPE of 11% and a MAD of 0.27. The forecasted Inflation YoY for 2026 reached 2.60%, indicating that in 2026, inflation YoY was within the range set by the government. The results obtained from this forecast are based on only univariate approach, namely historical data.
Analysis of Pneumonia Transmission Dynamics in Under-Five Children Using an SEITR Model with Awareness and Vaccination Santa Falare Sitanggang; Tri Andri Hutapea
Jurnal Matematika, Statistika dan Komputasi Vol. 23 No. 1 (2026): September 2026
Publisher : Department of Mathematics, Hasanuddin University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.20956/qg95te93

Abstract

Pneumonia remains one of the leading causes of mortality among children under five in Indonesia. This study investigates the transmission dynamics of pneumonia among the Indonesian under-five population using a compartmental SEITR (Susceptible–Exposed–Infected–Treated–Recovered) mathematical model incorporating caregiver awareness and vaccination. The study aims to analyze the equilibrium points and their stability, sensitivity of the model with respect to parameters affecting the basic reproduction number  and model behavior under various intervention scenarios through numerical simulations. The analysis includes the determination of equilibrium points, derivation of the basic reproduction number, local asymptotic stability analysis using linearization and the Routh–Hurwitz criterion, and sensitivity analysis. The results show that under the parameter values representing the Indonesian population, , and the analysis establishes the existence and stability conditions of the disease-free and endemic equilibria. Under these conditions, the disease-free equilibrium is unstable, whereas the endemic equilibrium is locally asymptotically stable, indicating that pneumonia tends to persist in the population. Sensitivity analysis reveals that the effective contact rate  is the most influential parameter in increasing , whereas the vaccination rate  has the greatest negative sensitivity effect . Numerical simulations demonstrate that increasing caregiver awareness to  with the vaccination rate maintained at  reduces  to , whereas increasing the vaccination rate alone without enhancing awareness is insufficient to achieve a disease-free state under the simulated scenarios. These findings indicate that increasing caregiver awareness, combined with vaccination, is an effective strategy for reducing pneumonia transmission among children under five.
Homoderivations in Prime Near Rings Gusti Ayu Dwi Yanti; Sandy Salomo Saruan
Jurnal Matematika, Statistika dan Komputasi Vol. 23 No. 1 (2026): September 2026
Publisher : Department of Mathematics, Hasanuddin University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.20956/zsw81k91

Abstract

Homoderivations represent a generalized differential operator that combines multiplicative and derivational properties, making them significant in studying algebraic structures with hybrid operations. This paper initiates the systematic study of homoderivations on prime near rings, an algebraic structure where only left distributivity holds. We establish the foundational Leibniz formula and investigate when the existence of such mapping forces the underlying near ring to become commutative. Specificall, we prove that if a 2-torsion free prime near ring admits a non zero homoderivation h with h([x,y])=0 or h(x◦y)=0, then N is a commutative ring. Furthermore, we characterize the center of the near ring through the behavior of homoderivations on square closed Lie ideals. These results have implications for understanding the interplay between ring theoritic derivation and multiplicative mappings in non ring.
Connectivity of Non-Coprime Graph over Dihedral Group Winda Cahya Dwi Wahyuni; Arif Munandar
Jurnal Matematika, Statistika dan Komputasi Vol. 23 No. 1 (2026): September 2026
Publisher : Department of Mathematics, Hasanuddin University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.20956/y76mg453

Abstract

Let Γ be the non-coprime graph of the dihedral group of order 2n. This research investigates the connectivity properties of Γ, particularly its Eulerian, semi-Eulerian, Hamiltonian, and planar properties. The research begins by examining several properties related to the dihedral group, and then identifying the connectivity patterns that are formed in the non-coprime graph through the analysis of the order of elements in the group. These patterns then serve as the basis for determining its connectivity properties. The results show that Γ is Eulerian when n = 2k, where k ≥ 2, and semi-Eulerian if and only if n = 2p, where p is an odd prime. Furthermore, the graph is Hamiltonian for n = 2k or n = 2p, where p is an odd prime. In addition, the graph is planar if and only if n = 2 or n = 3. These results indicate that the factorization form of n strongly influences the connectivity structure and graph properties of the non-coprime graph over the dihedral group.
CO2 Emission Modeling in Asian Countries Using a Truncated Spline Nonparametric Regression Approach on Panel Data Dita Amelia; Anisah Nabilah Ghasani; Salsabilla Rusydah Putri
Jurnal Matematika, Statistika dan Komputasi Vol. 23 No. 1 (2026): September 2026
Publisher : Department of Mathematics, Hasanuddin University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.20956/yee72c02

Abstract

Climate change, driven by increasing carbon dioxide (CO₂) emissions, has become a major global challenge, with Asian countries contributing nearly 50% of total worldwide emissions. This study aims to model the factors affecting CO₂ emissions in Asian countries using a truncated spline nonparametric regression approach with panel data from 2020 to 2023. The predictor variables considered are population density, primary energy consumption, and urban population, while CO₂ emissions serve as the response variable. Optimal knot points were determined using the Generalized Cross Validation (GCV) criterion. The results indicate that the model with three knots provides the best performance, yielding a GCV value of 0.00004, a Mean Square Error (MSE) of 0.005248, and a coefficient of determination (R²) of 99.99206%. The findings reveal that differences in energy consumption patterns, industrialization levels, and dependence on fossil fuels contribute significantly to variations in CO₂ emissions among countries. The thematic map analysis further shows that high emissions are not always associated with high population density or urban population. Overall, the selected predictor variables explain almost all variations in CO₂ emissions across Asian countries. These findings provide a more comprehensive understanding of emission dynamics and offer valuable insights for the development of sustainable energy and environmental policies in the Asian region.
L(3,1)-Labeling of Double-Quadrilateral Windmill And Flower Graphs Hafif Komarullah; Siti Zulfa Rosyidah; Rizqy Amalia Nurfadila; Mifdati Afifah
Jurnal Matematika, Statistika dan Komputasi Vol. 23 No. 1 (2026): September 2026
Publisher : Department of Mathematics, Hasanuddin University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.20956/n3zjqz22

Abstract

The L(3,1)-labeling of a graph is a distance-constrained labeling in which adjacent vertices receive labels differing by at least 3, while vertices at distance two receive labels differing by at least 1. The minimum span among all such labelings, denoted by λ_3,1 (G), is called the L(3,1)-labeling number of G. In this paper, we determine the exact L(3,1)-labeling numbers of double-quadrilateral windmill graphs and double-quadrilateral flower graphs. By constructing feasible labelings and establishing sharp lower bounds, we prove that λ_3,1 (DQ_k)=3k+2 and λ_3,1 (FDQ_k)=2k+3 for every integer k≥2. These results provide the first L(3,1)-labeling characterization of these graph families and contribute to the study of distance-constrained graph labeling on graphs composed of interconnected quadrilateral cycles.

Page 53 of 54 | Total Record : 534

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