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Muh. Isbar Pratama
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Journal of Mathematics, Computation and Statistics (JMATHCOS)
Published by Universitas Negeri Makassar
ISSN : 24769487     EISSN : 27210863     DOI : https://doi.org/10.35580/jmathcos
Core Subject : Education,
Mathematics
Fokus yang didasarkan tidak hanya untuk penelitian dan juga teori-teori pengetahuan yang tidak menerbitkan plagiarism. Ruang lingkup jurnal ini adalah teori matematika, matematika terapan, program perhitungan, perhitungan matematika, statistik, dan statistik matematika.
Arjuna Subject : Matematika - Matematika Terapan
Articles 194 Documents
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The Optimal Control of Mathematical Models for Monkeypox Spread Using the Pontryagin Maximum Principle with Numerical Solution RK6 on Study in Indonesia: engglish side, syafruddin; Yusuf SAP, Andi Muh. Ridho; Musfira, Musfira; Abdy, Muhammad
Journal of Mathematics, Computations and Statistics Vol. 8 No. 2 (2025): Volume 08 Nomor 02 (Oktober 2025)
Publisher : Jurusan Matematika FMIPA UNM

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.35580/jmathcos.v8i2.9461

Abstract

This study examines the SIQR mathematical model by applying the Pontryagin Maximum Principle (PMP) and the 6th order Runge-Kutta (RK6) numerical solution to the spread of Monkeypox in Indonesia. This study aims to analyze and simulate the dynamics of the spread of Monkeypox and identify optimal control strategies that are effective in suppressing the rate of infection. This study has a population of 283,487,843 individuals. The results of this study show the effectiveness of implementing optimal control in reducing the spread of Monkeypox in the region. This study makes a significant contribution to the development of more efficient and targeted health policies in dealing with Monkeypox outbreaks, and offers valuable insights for future infectious disease control strategies.
APPLICATION OF GENERALIZED AUTOREGRESSIVE CONDITIONAL HETEROSKEDASTICITY (GARCH) MODEL IN FORECASTING THE MARKET PRICE OF NICKEL IN INDONESIA Sidjara, Sahlan; Sanusi, Wahidah; Nyulle, Rusdianto
Journal of Mathematics, Computations and Statistics Vol. 8 No. 2 (2025): Volume 08 Nomor 02 (Oktober 2025)
Publisher : Jurusan Matematika FMIPA UNM

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.35580/jmathcos.v8i2.9798

Abstract

Indonesia is one of the largest nickel exporting countries in the world, with the increasing demand for electric vehicles making nickel a target for producers. The increase in nickel demand makes it necessary to increase the observation of nickel prices to maintain the sustainability of the mining industry and economic growth. The purpose of this study is to forecast the price of Indonesia's nickel market using the GARCH method. The GARCH method is one of the methods used in time series data modeling that identifies heteroscedatic effects. The steps taken are to analyze the training data, check the stationery, estimate the parameters, and test the diagnostic model, then the best ARIMA model is selected based on the smallest AIC value, namely ARIMA (0,1,1). The residual values of the best ARIMA models are then used to determine the GARCH model. The best GARCH model obtained is GARCH (0.1) with an AIC value of 19.04061. Furthermore, forecasting was carried out using the GARCH model (0.1) and comparing the forecast results with the testing data to obtain MAPE values. The MAPE value obtained is 17.67014 % which shows that the GARCH model (0.1) has good forecasting accuracy, so this model is quite feasible to be used in forecasting the price of Indonesia's nickel market.
The Coefficient Parallelisator Matrix: A Diagonal Similarity Operator for Symmetry Preservation in Knot Semantic Logic Ja'faruddin, Ja'faruddin; Ashari, Nur Wahidin; Baharuddin, Baharuddin; Asyari, Syahrullah; Fadiyah, Wulan Nur; Farhan, Muhammad
Journal of Mathematics, Computations and Statistics Vol. 8 No. 2 (2025): Volume 08 Nomor 02 (Oktober 2025)
Publisher : Jurusan Matematika FMIPA UNM

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.35580/jmathcos.v8i2.10762

Abstract

This study introduces the Coefficient Parallelisator Matrix (CPM) as a novel diagonal similarity operator designed to preserve structural and semantic symmetry within the framework of Knot Semantic Logic (KSL). The CPM formalizes the process of parallelization in linguistic and conceptual structures by transforming semantic matrices through similarity operations that maintain eigenvalues, determinants, and symmetry invariants. Each element of the CPM acts as a scaling coefficient, re- balancing semantic weights while conserving the overall interpretive equilibrium of the text. Mathematically, the transformation A′ = MAM−1 establishes a spectral equivalence between the original and parallelized structures, ensuring that both share identical eigen-spectra, determinant, and Hermitian invariants. This invariance reflects a form of semantic gauge symmetry, wherein the un- derlying topology of meaning remains stable despite local transformations in semantic intensity. Conceptually, the operator bridges linguistic theory, topology, and algebraic representation, providing a formal mechanism for analyzing reflective relations such as parallelism, chiasmus, and concentric composition. The findings extend the mathematical foundation of KSL by establishing the Coefficient Parallelisator as an analytical framework for quantifying semantic symmetry—enabling deeper integration between mathematical logic, structural linguistics, and computational semantics.
Mathematical Modelling of Dengue Fever Spread with Education-Based Prevention in South Sulawesi Pratama, Muhammad Isbar; Mariani, Mariani; Fadilah, Nur; Wahyuni, Maya Sari
Journal of Mathematics, Computations and Statistics Vol. 8 No. 2 (2025): Volume 08 Nomor 02 (Oktober 2025)
Publisher : Jurusan Matematika FMIPA UNM

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.35580/jmathcos.v8i2.10907

Abstract

Dengue Fever (DF) remains a major public health challenge in many tropical regions, including South Sulawesi, Indonesia, where increasing case numbers highlight the urgent need for more effective disease control strategies. Traditional approaches that rely solely on medical treatment and vector suppression have shown limited long-term success, thus necessitating complementary preventive interventions such as health education. This study develops a deterministic SIRS host–vector mathematical model to analyse the epidemiological dynamics of DF transmission and to quantify the impact of educational intervention on reducing disease spread. The model incorporates human susceptibility, infection, temporary immunity, mosquito–human transmission mechanisms, and an education parameter that represents the rate at which susceptible individuals become effectively protected. Stability analysis is conducted to determine the conditions for disease persistence or elimination, and the basic reproduction number is derived using the next-generation matrix method. Numerical simulations are performed using biologically realistic parameter values for South Sulawesi. The results show that when , both human and vector infections converge to endemic equilibrium levels, consistent with the theoretical analysis. However, increasing the education-related protection parameter significantly reduces infection prevalence and can bring below unity, leading to disease eradication. The findings demonstrate that educational interventions play a critical role in reducing transmission intensity and complementing vector control measures. This study provides a mathematical foundation for evaluating community-based education as a sustainable component of DF prevention, offering valuable insights for public health policy in dengue-endemic regions.

Page 20 of 20 | Total Record : 194

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