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All Journal Transformasi : Jurnal Pendidikan Matematika dan Matematika Komputasi : Jurnal Ilmiah Ilmu Komputer dan Matematika
Onelia Rochmah
Universitas Tanjungpura
Computer Science & IT Control & Systems Engineering Education Mathematics

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Application of Principal Component Analysis on Factors Causing Inflation in West Kalimantan Asri Rahmawati; Yuyun Eka Pratiwi; Onelia Rochmah
Komputasi: Jurnal Ilmiah Ilmu Komputer dan Matematika Vol. 22 No. 2 (2025): Komputasi: Jurnal Ilmiah Ilmu Komputer dan Matematika
Publisher : Program Studi Ilmu Komputer, Universitas Pakuan

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Abstract

Inflation is an important indicator in assessing the economic stability of a region. Inflation fluctuations in West Kalimantan are influenced by various economic and structural factors. This study aims to identify the main factors causing inflation in West Kalimantan using Principal Component Analysis (PCA). Secondary data for the 2024 timeframe was obtained from West Kalimantan's Central Statistics Agency (BPS). Economic variables that are suspected of influencing inflation are analyzed using PCA to be reduced to new dominant factors. The main components obtained are then interpreted economically to understand the structure of the causes of inflation. The results of the analysis show that the cumulative proportion of the two components reaches 90%, so the two main components are sufficient to represent the main structure of the data. This means that most of the information from the original variables can be effectively reduced into two main components. Keywords: Inflation; PCA; reduction; economic factors.
ANALISIS DINAMIKA DAN KESTABILAN MODEL SIR DAN SEIR PADA PENYEBARAN TUBERKULOSIS DI KOTA PONTIANAK Onelia Rochmah; Eko Sulistyono
TRANSFORMASI Vol 10 No 1 (2026): TRANSFORMASI: Jurnal Pendidikan Matematika dan Matematika
Publisher : Program Studi Pendidikan Matematika FMIPA Universitas PGRI Banyuwangi

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.36526/tr.v10i1.7757

Abstract

This study aims to analyze the transmission dynamics of Tuberculosis (TB) in Pontianak City in 2024 using the SIR and SEIR models to evaluate system stability and disease transmission potential. The methodology involves formulating systems of differential equations, determining equilibrium points, performing local stability analysis using the Jacobian matrix, and calculating the basic reproduction number as an epidemiological threshold parameter. The epidemiological parameters and population data used were obtained from the 2024 West Kalimantan Health Profile as an official data source, which were subsequently normalized into population proportions. To verify the analytical results, numerical simulations were conducted using Python. The findings indicate that the basic reproduction number in both models is less than one, implying that the system converges to the disease-free equilibrium and that the infection cannot sustain long-term transmission. Numerical results show that the proportions of infected and exposed individuals gradually decline to zero. Furthermore, simulations of the SEIR model with the initial condition produce dynamics identical to the SIR model, confirming that SEIR extends SIR when the latent compartment is considered. These results demonstrate that mathematical modeling provides a quantitative framework for understanding TB dynamics and supports the evaluation of disease control strategies based on epidemiological parameters.
Co-Authors Asri Rahmawati Eko Sulistyono Yuyun Eka Pratiwi