Jurnal Matematika, Statistika dan Komputasi
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Pemodelan Penderita Tuberkulosis di Jawa Timur Berdasarkan Pendekatan Geographically Weighted Regression (GWR)
Get PDFTuberculosis is the 13th trigger of death causes around the world. Even after Covid-19, tuberculosis ranks 2nd as a contagious killer disease. In 2020, Indonesia ranks 2nd out of 8 countries with the highest contributor to tuberculosis sufferers after India. East Java Province is the region with the largest number of tuberculosis cases in order of 8. Tuberculosis cases in East Java in 2020 have decreased, but when viewed from the success rate of treatment of tuberculosis cases per district/city in East Java, it was found that 53% still did not meet the target of 90%. According to (World Health Organization), gender affects the occurrence of tuberculosis disease, where men are more susceptible than women. In finding treatment for all tuberculosis incidents in East Java, the highest patient was male. This study was conducted to model tuberculosis in men in the East Java area. The results of the study prove that the modeling of male tuberculosis in East Java used linear regression and GWR (Geographically Weighted Regression) obtained the best model was GWR with Fixed Gaussian Kernel weighting, CV value of 5.68, and R2 86.47%. Variables that have a significant effect on male tuberculosis in East Java are BCG immunization for male infants, public places meeting health requirements, youth who smoke tobacco every day, sex ratio, and households with access to proper sanitation facilities.
Penyakit tuberkulosis merupakan salah satu penyakit pemicu kematian urutan ke-13 di dunia. Bahkan setelah Covid-19, penyakit tuberkulosis menempati urutan ke-2 sebagai penyakit pembunuh menular. Pada tahun 2020 Indonesia menduduki urutan ke-2 dari 8 negara di dunia sebagai penyumbang terbesar penderita tuberkulosis setelah India. Provinsi Jawa Timur menjadi salah satu wilayah dengan kasus tuberculosis tertinggi urutan 8. Kasus tuberkulosis di Jawa Timur tahun 2020 mengalami penurunan, namun jika dilihat dari angka keberhasilan pengobatan kasus tuberkulosis per kabupaten/kota di Jawa Timur ditemukan sebanyak 53% masih belum memenuhi dari target 90%. Menurut WHO, jenis kelamin berpengaruh pada terjadinya penyakit tuberkulosis, yang mana laki-laki lebih rentan daripada perempuan. Dalam penemuan pengobatan semua insiden tuberkulosis di Jawa Timur penderita tertinggi di duduki oleh jenis kelamin kelamin laki-laki. Penelitian ini dilakukan untuk memodelkan tuberkulosis pada laki-laki di wilayah Jawa Timur. Hasil dari penelitian ini diperoleh bahwa dalam pemodelan tuberkulosis laki-laki di wilayah Jawa Timur menggunakan regresi linier dan GWR diperoleh model terbaik adalah GWR dengan pembobotan Fixed Gaussian Kernel, nilai CV sebesar 5,68 dan R2 sebesar 86,47%. Variabel yang memiliki pengaruh signifikan pada tuberkulosis laki-laki di Jawa Timur adalah imunisasi BCG pada bayi laki-laki, TTU memenuhi syarat kesehatan, pemuda yang setiap hari merokok tembakau , rasio jenis kelamin, dan rumah tangga dengan akses fasilitas sanitasi yang layak
Generalized rational contraction in algebra-valued b-metric spaces
No full textThis present paper extends some common fixed point theorems for generalized rational contraction of multi-valued mappings in the setting of algebra-valued b-metric spaces
Peramalan Jumlah Kunjungan Wisatawan Mancanegara ke Indonesia Menggunakan Analisis Intervensi Fungsi Step
Get PDF Intervention analysis is a method for processing time series data that can be used to explain the effect of an intervention that is influenced by external and internal factors. One application of this method is the data on the number of foreign tourist visits. Since the emergence of COVID-19 in Indonesia, especially in March 2020, Indonesia has begun to implement a lockdown policy and restrict foreign tourists from entering Indonesia. Lockdown policy caused the number of foreign tourist arrivals to decreased drastically. The purpose of this study was obtained a model and forecast results for the number of foreign tourist arrivals for the period November 2021 to November 2022 used a step function intervention analysis. The results of the analysis was shown that the ARIMA intervention model (0,1,1) with a step function with an intervention orde of b=0, s=0, and r=0 was the best model. The results of forecasting the number of foreign tourist visits to Indonesia will increase slowly from November 2021 to November 2022 with a MAPE value 9.91%.Analisis intervensi merupakan metode analisis data runtun waktu yang dapat digunakan untuk menjelaskan efek dari suatu intervensi akibat faktor eksternal maupun internal. Salah satu penerapan metode ini adalah pada data jumlah kunjungan wisatawan mancanegara. Semenjak munculnya COVID-19 di Indonesia pada bulan Maret 2020, Indonesia mulai menerapkan kebijakan lockdown dan membatasi wisatawan mancanegara untuk masuk ke Indonesia. Hal ini menyebabkan jumlah kunjungan wisatawan mancanegara menurun drastis. Tujuan penelitian ini adalah memperoleh model dan hasil ramalan jumlah kunjungan wisatawan mancanegara periode November 2021 sampai November 2022 menggunakan analisis intervensi fungsi step. Hasil analisis menunjukkan bahwa model intervensi ARIMA (0,1,1) dengan fungsi step yang mempunyai orde intervensi b=0, s=0, dan r=0 merupakan model terbaik. Hasil peramalan jumlah kunjungan wisatawan mancanegara ke Indonesia akan mengalami peningkatan secara perlahan dari November 2021 sampai November 2022 dengan nilai MAPE sebesar 9,91%
Identification of Factors that Influence Stunting Cases in South Sulawesi using Geographically Weighted Regression Modeling
Get PDFIn Indonesia, nearly seven million children under five are stunted and throughout the world, Indonesia is the country with the fifth-highest stunting prevalence. South Sulawesi ranks fourth with a high stunting potential in Indonesia. Stunting is caused by multi-dimensional factors and not only due to malnutrition experienced by pregnant women and children under five. In more detail, several factors that cause stunting are the effects of poor care, the lack of household/family access to nutritious food, and the lack of access to clean water and sanitation. In addition to maternal characteristics and parenting, the problem of stunting is also influenced by environmental factors and geographical conditions (population density, climatic conditions, and inadequate sanitation) so the spatial analysis is important to do in overcoming this problem. In spatial data, often observations at a location (space) depend on observations at other locations that are nearby (neighboring). By using Geographically Weighted Regression (GWR) obtained variables that affect the prevalence of stunting in South Sulawesi Province, including the percentage of babies receiving vitamin A intake, the percentage of babies receiving exclusive breastfeeding, the percentage of babies receiving health care, the percentage of malnourished children under five, the percentage short toddlers, the percentage of infants receiving DPT-HB-Hib, Measles and BCG immunizations. for the GWR model is 81.32% and based on variables that are significant to the prevalence of stunting in South Sulawesi Province, three clusters are formed
An analog of Hardy’s theorem for the second Hankel-Clifford transformation
Get PDFIn this paper, we generalize theorem of Hardy for the second Hankel-Clifford transform
Bahasa Indonesia Bahasa Inggris: Bahasa Indonesia
No full textDiscrete data on the response variable can be analyzed using poisson regression. The assumption of equidispersion in poisson regression must be fulfilled, but in practice there are many problems of overdispersion. The negative binomial regression model is used to overcome the problem of overdispersion, but this model is global while in some cases each location has different characteristics. Therefore, a method that considers the effects of spatial heterogeneity is needed. If the response variable is discrete data that is overdispersed and includes spatial effects, a model called Geographically Weighted Negative Binomial Regression (GWNBR) is developed. The GWNBR method can be applied in the health sector, such as in stunting. The prevalence of stunting in Malang Regency is still quite high, there is 25.7%. By conducting the GWNBR test, 385 models were obtained, one of them is Tulungrejo Village with factors influencing the incidence of stunting, namely access to permanent healthy latrines, access to posyandu, exclusive breastfeeding, population density and community empowerment. From three weights used, namely the Adaptive Gaussian Kernel, Adaptive Bisquare Kernel and Adaptive Tricube Kernel, the best model was obtained from the Adaptive Bisquare Kernel weighting with the smallest AIC is -211.3763.Data diskrit pada variabel respon dapat dianalisis menggunakan regresi poisson. Asumsi equidispersi dalam regresi poisson harus terpenuhi, namun dalam penerapannya banyak ditemui masalah overdispersi. Model regresi binomial negatif digunakan untuk mengatasi masalah overdispersi, namun model ini bersifat global sedangkan pada beberapa kasus masing-masing lokasi memiliki karakteristik yang berbeda-beda. Oleh karena itu diperlukan metode yang mempertimbangkan efek keheterogenan spasial. Apabila variabel respon berupa data diskrit yang mengalami overdispersi dan menyertakan efek spasialnya maka dilakukan pengembangan model yang disebut Geographically Weighted Negative Binomial Regression (GWNBR). Metode GWNBR dapat diterapkan di bidang kesehatan, seperti pada kejadian stunting. Prevalensi balita stunting di Kabupaten Malang masih tergolong cukup tinggi yaitu sebesar 25.7%. Dengan melakukan uji GWNBR didapatkan 385 model, salah satunya Desa Tulungrejo dengan faktor – faktor yang mempengaruhi kejadian stunting adalah akses jamban sehat permanen, akses posyandu, asi esklusif, kepadatan penduduk dan pemberdayaan masyarakat. Dari ketiga pembobot yang digunakan yaitu Adaptive Gaussian Kernel, Adaptive Bisquare Kernel dan Adaptive Tricube Kernel didapatkan model terbaik dari pembobot Adaptive Bisquare Kernel dengan AIC terkecil sebesar -211.3763
Jumlah Langsung Subsemimodul Prima
Get PDFLet be a commutative semiring. A semimodule over a semiring is a fully prime semimodule if each proper subsemimodule of is prime. This research aims to investigate the relationship between a direct sum of prime subsemimodules and , , and a fully prime semimodule.Misalkan adalah semiring komutatif. Semimodul atas semiring merupakan semimodul prima penuh apabila semua subsemimodul sejatinya merupakan subsemimodul prima. Penelitian ini bertujuan menyelidiki hubungan antara jumlah langsung dari subsemimodul prima dan , , dengan semimodul prima penuh
Some Types of Irregular Labeling of Diamond Networks on Ten Vertices
Get PDFThere are three interesting parameters in irregular networks based on total labelling, i.e. the total vertex irregularity strength, the total edge irregularity strength, and the total irregularity strength of a graph. Besides that, there is a parameter based on edge labelling, i.e., the irregular labelling. In this paper, we determined the four parameters for diamond graph on eight vertices
Analisis Kestabilan dan Bifurkasi pada Model Matematika Penyebaran Penyakit Meningitis dengan Perlakuan Vaksinasi dan Pengobatan
Get PDFMeningitis is an infectious disease that occurs in inflammation of the meninges and the spinal cord in consequence of bacteria and viruses. Vaccination and treatment using antibiotics is used to increase growth rate in infected people so that the spread rate can be reduced. This study aims to see the effect of vaccination and treatment using some compartments: susceptible, carrier, infected without symptoms, infected with symptoms, recovery without disability, and recovery with disability; show the sensitivity analysis in order to discover the parameter that affect basic reproduction number and bifurcations analysis. The result from sensitivity found the relation between parameter and that can increase and decrease the value. This study also showed the influence of stability change from equilibrium point caused by the parameter value change form bifurcations analysis. Models simulation show that the effect of vaccination and treatmen for spread of meningitis can be handled.Meningitis adalah suatu penyakit menular yang terjadi pada peradangan meninges dan sumsum tulang belakang yang disebabkan oleh bakteri dan virus. Upaya pengobatan berupa pemberian antibiotik dilakukan untuk meningkatkan laju penyembuhan bagi individu terinfeksi sehingga menekan laju penyebaran penyakit meningitis pada suatu populasi. Tujuan dari penelitian ini ialah untuk menentukan titik ekuilibrium dari model penyebaran penyakit meningitis dengan menggunakan beberapa kompartemen, yaitu susceptible, carrier, infected without symptoms, infected with symptoms, recovery without disability, dan recovery with disability yang menghasikan titik ekuilibrium endemik dan non endemik, menunjukkan analisis sensitivitas untuk mengetahui parameter yang berpengaruh pada bilangan reproduksi dasar dan analisis bifurkasi. Hasil yang diperoleh dari analisis sensitivitas dan bifurkasi, yaitu ditemukan hubungan parameter dengan yang dapat meningkatkan dan menurunkan nilai , pengaruh perubahan kestabilan titik ekuilibrium akibat perubahan nilai parameter . Simulasi model menunjukkan bahwa pemberian vaksinasi dan pengobatan dapat mengendalikan penyebaran penyakit meningiti
Some new properties of g-frame in Hilbert C*-modules
Get PDFThe theory of frames which appeared in the last half of the century, has been generalized rapidly and various generalizations of frames in Hilbert spaces and Hilbert -modules. In this paper, we will give some new properties of modular Riesz basis and modular -Riesz basis that present a generalization of the results established in a Hilbert space