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All Journal Proximal: Jurnal Penelitian Matematika dan Pendidikan Matematika Limits: Journal of Mathematics and Its Applications
Muna Afdi Muniroh
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Computer Science & IT Mathematics

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Analisis Multivariat Tingkat Kemiskinan Di Kabupaten Tuban: Faktor Paling Dominan Muna Afdi Muniroh
Proximal: Jurnal Penelitian Matematika dan Pendidikan Matematika Vol. 8 No. 1 (2025): Sains Matematika dan Pendidikan Matematika
Publisher : Universitas Cokroaminoto Palopo

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30605/proximal.v8i1.4660

Abstract

This research aims to identify significant factors influencing the poverty level in Tuban Regency. Multiple linear regression analysis using the Ordinary Least Squares (OLS) method was applied using the Google Colab platform and the Scikit-learn library to examine the relationship between the Human Development Index (HDI), Open Unemployment Rate (OUR), and Gini ratio on the poverty level. Before the regression analysis was conducted, the data were tested for normality using the Shapiro-Wilk test to ensure that the classical regression assumptions were satisfied. Then, a correlation matrix is presented to provide an initial overview of the relationship between variables. The analysis results show that the HDI is the dominant factor that significantly contributes to the decrease in the poverty level in Tuban Regency. Meanwhile, the unemployment rate and the gini ratio do not show a significant influence in this regression model. Visualization of actual data and model data shows a fairly good fit, indicating the model's accuracy in explaining the variability of the number of poor residents.
Analisis Multivariat Tingkat Kemiskinan Di Kabupaten Tuban: Faktor Paling Dominan Muna Afdi Muniroh
Proximal: Jurnal Penelitian Matematika dan Pendidikan Matematika Vol. 8 No. 1 (2025): Integrasi Matematika, Teknologi, dan Budaya dalam Pendidikan dan Aplikasi Terap
Publisher : Universitas Cokroaminoto Palopo

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30605/proximal.v8i1.4660

Abstract

This research aims to identify significant factors influencing the poverty level in Tuban Regency. Multiple linear regression analysis using the Ordinary Least Squares (OLS) method was applied using the Google Colab platform and the Scikit-learn library to examine the relationship between the Human Development Index (HDI), Open Unemployment Rate (OUR), and Gini ratio on the poverty level. Before the regression analysis was conducted, the data were tested for normality using the Shapiro-Wilk test to ensure that the classical regression assumptions were satisfied. Then, a correlation matrix is presented to provide an initial overview of the relationship between variables. The analysis results show that the HDI is the dominant factor that significantly contributes to the decrease in the poverty level in Tuban Regency. Meanwhile, the unemployment rate and the gini ratio do not show a significant influence in this regression model. Visualization of actual data and model data shows a fairly good fit, indicating the model's accuracy in explaining the variability of the number of poor residents.
Analisis Dinamik Model Hepatitis B dengan Sirosis Hati Muna Afdi Muniroh; Trisilowati; Wuryansari Muharini Kusumawinahyu
Limits: Journal of Mathematics and Its Applications Vol. 19 No. 1 (2022): Limits: Journal of Mathematics and Its Applications Volume 19 Nomor 1 Edisi Me
Publisher : Pusat Publikasi Ilmiah LPPM Institut Teknologi Sepuluh Nopember

Show Abstract | Download Original | Original Source | Check in Google Scholar

Abstract

Hepatitis B adalah suatu penyakit peradangan pada organ hati yang memiliki dua fase infeksi yaitu akut dan kronis. Sirosis hati terjadi akibat terbentuknya jaringan parut pada individu hepatitis B berkepanjangan (kronis). Oleh karena itu, pada penelitian ini dibentuk model penyebaran penyakit hepatitis B dengan sirosis hati. Selain itu, pada model diasumsikan virus hepatitis B (HBV) dapat ditularkan baik secara vertikal maupun horizontal. Analisis dinamik dilakukan untuk menentukan eksistensi dan kestabilan titik kesetimbangan. Berdasarkan hasil analisis dinamik, diperoleh dua titik kesetimbangan yaitu titik kesetimbangan bebas penyakit dan titik kesetimbangan endemik. Angka reproduksi dasar (R0) didapatkan dengan menggunakan matriks generasi selanjutnya. Titik kesetimbangan bebas penyakit eksis tanpa syarat, sedangkan titik kesetimbangan endemik eksis ketika R0>1 . Hasil analisis kestabilan menunjukkan bahwa titik kesetimbangan bebas penyakit dan endemik bersifat stabil asimtotik lokal jika kriteria Routh-Hurwitz terpenuhi. Selain itu, titik kesetimbangan bebas penyakit bersifat stabil asimtotik global jika R0<1 dan titik kesetimbangan endemik bersifat stabil asimtotik global jika memenuhi kondisi tertentu. Simulasi numerik mendukung hasil analisis yang telah diperoleh.
Co-Authors Trisilowati Wuryasari Muharini Kusumawinahyu