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All Journal CAUCHY: Jurnal Matematika Murni dan Aplikasi JTAM (Jurnal Teori dan Aplikasi Matematika) Journal of Fundamental Mathematics and Applications (JFMA)
Sobari, Muhamad
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Decision Sciences, Operations Research & Management Mathematics

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Spatial Analysis of Dengue Disease in Jakarta Province Sobari, Muhamad; Jaya, I Gede Nyoman Mindra; Ruchjana, Budi Nurani
CAUCHY: Jurnal Matematika Murni dan Aplikasi Vol 7, No 4 (2023): CAUCHY: JURNAL MATEMATIKA MURNI DAN APLIKASI
Publisher : Mathematics Department, Universitas Islam Negeri Maulana Malik Ibrahim Malang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.18860/ca.v7i4.17423

Abstract

Dengue disease is a virus-borne illness spread by the bite of the female Aedes aegypti mosquito. Jakarta Province has a vulnerability to dengue disease due to high population density and percentage of urban slum households. This study applied a spatial autoregressive (SAR) model to identify the risk factors that affect the number of dengue disease cases in Jakarta Province. The spatial dependency was accounted for using the queen contiguity spatial weight matrix. The number of flood-prone points, the number of slum neighborhood associations, the population density, the number of hospitals and the number of public health centers per 1,000 population and spatial lag significantly impact the number of dengue disease cases in Jakarta Province. When dengue disease cases increase in one sub-district, the number of dengue disease cases in the sub-districts around it will increase as well because of the positive and significant spatial lag coefficient. Based on the direct impact, each addition of one percent of flood-prone points in one sub-district will increase the number of dengue disease cases in that sub-district by 3.86 cases
MULTINOMIAL LOGISTIC REGRESSION TO DETERMINE FACTORS INFLUENCING THE SELECTION OF HEALTH CARE FACILITIES IN INDONESIA Sobari, Muhamad; Putri, Dian Islamiaty; Prama, Delvi Rutania; Suparman, Yusep
Journal of Fundamental Mathematics and Applications (JFMA) Vol 7, No 2 (2024)
Publisher : Diponegoro University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.14710/jfma.v7i2.16499

Abstract

Health facilities play a critical role in meeting the community's health needs. The existence of changes in lifestyle resulted in the community suffering from an increasing number of diseases, which increased the community's need for health facilities. There are two kinds of health facilities in Indonesia: government-owned health facilities and private health facilities. Both health facilities have advantages and disadvantages in terms of community service. As a result, Indonesians must make decisions about which health facilities to use in order to address health issues. The purpose of this research is to identify the factors that influence the selection of health facilities in Indonesia. Data from the Indonesia Family Life Survey (IFLS) 2015 were used in this study. This study uses four types of health facilities so the multinomial logistic regression method is appropriate. The findings of this study are all factors used in this study have a significant effect on the selection of health facilities. Jamkesmas ownership factors, gender, age, ability to move, and morbidity are significant on the three categories of response variables, namely public, private, and other health facilities. Askes ownership factor is significant in two categories, namely public and private health facilities. The marital status factor in the married category was significant in three categories, while divorced/widowed category was significant in two categories. While the five categories of education level factors were significant in other health facilities category.
Comparison of Spatial Weight Matrices in Spatial Autoregressive Model: Case Study of Intangible Cultural Heritage in Indonesia Sobari, Muhamad; Desiyanti, Armalia; Yanti, Devi; Monika, Putri; Abdullah, Atje Setiawan; Ruchjana, Budi Nurani
JTAM (Jurnal Teori dan Aplikasi Matematika) Vol 7, No 1 (2023): January
Publisher : Universitas Muhammadiyah Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31764/jtam.v7i1.10757

Abstract

Intangible Cultural Heritage (ICH) can effectively contribute to Sustainable Development Goals (SDGs) in all economic, social, and environmental dimensions, along with peace and security. Studying ICH in Indonesia cannot be separated from the spatial aspect of how an area's attributes are related to other areas located close to each other. Spatial regression modeling needs to be done by considering the selection of spatial weight matrix. Using the wrong spatial weight matrix will increase the standard error in parameter estimation. Therefore, this study aims to determine: the best spatial weight matrix to accommodate the spatial autocorrelation in analyzing the description of the spread of ICH in Indonesia; and the variables that are thought to influence the number of ICH determination in Indonesia. The spatial regression modeling used in this study is the Spatial Autoregressive (SAR) model and the spatial weight matrices compared in this study are queen contiguity and inverse distance. The best model is the SAR model used the queen contiguity spatial weight matrix because it has minimum values of AIC, BIC, RMSE and MAPE which are 310.397, 319.555, 18.857 and 57.169 respectively. Simultaneously, involved in performing arts, wearing traditional dress, knowing Indonesian folklore and the spatial lag contribute significantly to number of ICH determination in Indonesia. Partially, only knowing Indonesian folklore have a significant effect on number of ICH determination in Indonesia at significance level α=5%. Each additional 1% of population that knowing Indonesian folklore in an area increases number of ICH determination in that area by 0.6719 units . 
Co-Authors Atje Setiawan Abdullah Budi Nurani Ruchjana Desiyanti, Armalia Devi Yanti, Devi I Gede Nyoman Mindra Jaya Monika, Putri Prama, Delvi Rutania Putri, Dian Islamiaty Suparman, Yusep