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Analisis Kestabilan Model Host-Vector Transmisi HIV/AIDS Pada Pengguna Jarum Suntik Jafaruddin (Alm); Rapmaida M. Pangaribuan; , Aryanto; Irena A. Henukh
Jurnal Matematika Vol 7 No 1 (2017)
Publisher : Mathematics Department, Faculty of Mathematics and Natural Sciences, Udayana University

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HIV/AIDS is a very dangerous disease. The transmission of HIV/AIDS can be in three ways and one of them through a syringe. In this paper we describe SIR and SEIR Host-Vector model transmission of HIV/AIDS amongst populations of injecting drug users. From the existing model we obtained disease-free equilibrium point and endemic equilibrium point. Then we study the stability conditions and sensitivity analysis of the . The analysis shows if then the disease-free equilibrium point is stable and if then the endemic equilibrium point will be stable. We also obtained that parameter of probality host-vector infected with HIV/AIDS affects the increase of number infected HIV/AIDS. Keywords: HIV/AIDS, Host-Vector Transmission, The Stability of Equilibrium Point.

Model Regresi Zero Inflated Poisson Pada Data Overdispersion Wirajaya Kusuma; Desy Komalasari; Mustika Hadijati
Jurnal Matematika Vol 3 No 2 (2013)
Publisher : Mathematics Department, Faculty of Mathematics and Natural Sciences, Udayana University

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Overdispersion is a phenomenon of the data variance greater than the average. One of the causes of overdispersion is too many zero value (excess zero) on the response variable. Zero inflated Poisson regression model (ZIP) is one of the method that can be used to overcome problems due to excess zeros. The purpose of this research is to estimate the regression parameters model Zero -inflated Poisson (ZIP) and applying to the data of unsuccessful students in national examinations in senior high school and vocational school in the city of Mataram. Parameter estimation Zero inflated Poisson regression model using the maximum likelihood and maximization expectation algorithm with Newton Rhapson approach.

Analisis Kestabilan Model Host-Vector Transmisi HIV/AIDS Pada Pengguna Jarum Suntik Jafaruddin (Alm); Rapmaida M. Pangaribuan; . Aryanto; Irena A. Henukh
Jurnal Matematika Vol 7 No 1 (2017)
Publisher : Mathematics Department, Faculty of Mathematics and Natural Sciences, Udayana University

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

HIV/AIDS is a very dangerous disease. The transmission of HIV/AIDS can be in three ways and one of them through a syringe. In this paper we describe SIR and SEIR Host-Vector model transmission of HIV/AIDS amongst populations of injecting drug users. From the existing model we obtained disease-free equilibrium point and endemic equilibrium point. Then we study the stability conditions and sensitivity analysis of the . The analysis shows if then the disease-free equilibrium point is stable and if then the endemic equilibrium point will be stable. We also obtained that parameter of probality host-vector infected with HIV/AIDS affects the increase of number infected HIV/AIDS. Keywords: HIV/AIDS, Host-Vector Transmission, The Stability of Equilibrium Point.

Optimalisasi Harga Penjualan Perumahan dengan Metode Goal Programming (Studi Kasus: Golden Gindi Residence Kota Bima Nusa Tenggara Barat) Lilik Ika Rahmawati; G. K. Gandhiadi; Ni Made Asih
Jurnal Matematika Vol 3 No 2 (2013)
Publisher : Mathematics Department, Faculty of Mathematics and Natural Sciences, Udayana University

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This research aims to determine the minimum selling price of each type of house using the method of goal programming, so that the developer get profit in appropriate with the targets set. Goal Programming method is one of the method of solving linear programming to solve the problems that include multiple targets. The result of the research showed: (1) the minimum salling price type of house 36/150 is Rp. 56.371.450,-; (2) type 45/150 is Rp. 77.261.250,-; (3) type 52/150 is Rp. 84.221.445,56. To calculate monthly installment purchase of a home within 5 years and 10 years using Capital Recovery Factor (CRF) method with annual interest of 11.5%. In order to obtain the amount of monthly loan installments within 5 years with 60 time installments for the type 36/150 is Rp. 930.250 , type 45/150 is Rp. 1.275.000 and type 52/150 is Rp. 1.389.800. By using the same method obtained the amount of monthly installments within 10 years with 120 installments for the type 36/150 is Rp. 549.900, type 45/150 is Rp. 815.300 and type 52/150 is Rp. 888.800 . Optimal selling price obtained was lower than the selling price from the developer, so the developer need to consider again the results obtained for the salling price of homes. The calculation of credit installments depending on the amount of interest and repayment period, so not become burden for the customers.

Model Partial Least Square Regression (PLSR) Pengaruh Bidang Pendidikan dan Ekonomi Terhadap Tingkat Kemiskinan di Indonesia I Gusti Ayu Made Srinadi
Jurnal Matematika Vol 7 No 1 (2017)
Publisher : Mathematics Department, Faculty of Mathematics and Natural Sciences, Udayana University

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Partial Least Square Regression (PLSR) is one of the methods applied in the estimation of multiple linear regression models when the ordinary least square method (OLS) can not be used. OLS generates an invalid model estimate when multicollinearity occurs or when the number of independent variables is greater than the number of data observations. In conditions that OLS can be applied in obtaining model estimation, want to know the performance of PLSR method. This study aims to determine the model of PLSR the influence of literacy rate, the average of school duration, school enrollment rate, Income per capita, and open unemployment rate to the level of poverty seen from the percentage of poor people in Indonesia by 2015. Estimated model with OLS , Only variable of literacy rate are included in the model with the coefficient of determination R2 = 32.52%. PLSR model estimation of cross-validation, leave-one-out method with one selected component has R2 of 33,23%. Both models shows a negative relationship between poverty and literacy rate. The higher literacy rate will reduce the poverty level, indicating that the success of the Indonesian government in the development of education will support the government's success in reducing poverty level.

Identifikasi dan Kausalitas Dari Faktor Penyebab Perselingkuhan Di Kota Denpasar Ni Made Santiningsih; I Putu Eka Nila Kencana; I Komang Gde Sukarsa
Jurnal Matematika Vol 12 No 1 (2022)
Publisher : Publisher : Mathematics Department, Faculty of Mathematics and Natural Sciences, Udayana University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24843/JMAT.2022.v12.i01.p144

Infidelity can have an impact on married life, some examples of which are less harmonious relationships with partners, and divorce. Infidelity is a sexual and emotional activity carried out by one or both individuals bound by a committed relationship. This study aims to determine the causative factors of infidelity and the causative factors that dominate infidelity. The method used in this research is structural equation modeling partial least square (SEM-PLS). The place where this research was conducted is in Denpasar City with a research period of October to November 2021. Data were obtained based on a questionnaire in the form of responses from married residents to the factors causing infidelity. The questionnaires were distributed as many as 130 questionnaires. This study obtained the results that the factors that cause infidelity are sexual factors, emotional factors, love factors, and social factors. Infidelity occurs dominated by emotional factors, namely the lack of attention from partners.

Pemodelan Lama Sekolah di Kabupaten Gianyar dengan Pendekatan MARS luh putu safitri pratiwi
Jurnal Matematika Vol 12 No 1 (2022)
Publisher : Publisher : Mathematics Department, Faculty of Mathematics and Natural Sciences, Udayana University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24843/JMAT.2021.v12.i01.p145

MARS merupakan model yang tidak mengasumsikan bentuk hubungan fungsional antara variabel respon dan prediktor, dan mempunyai bentuk fungsional yang fleksibel. Penelitian ini bertujuan mendapatkan model rata-rata lama sekolah dan mengetahui faktor-faktor yang mempengaruhi lama sekolah di Kabupaten Gianyar. Untuk memilih model MARS terbaik, pada penelitian ini menggunakan nilai Generalized Cross Validation (GCV) minimum yang dihasilkan tiap model kombinasi dari minimum observasi (MO), basis function (BF) dan Interaksi (MI). Hasil yang diperoleh analisis MARS dengan GCV sebesar 0.950 menghasilkan kombinasi BF = 48, MO = 2 dan MI = 3. Dengan faktor mempengaruhi lama sekolah yaitu IPM (Indeks Pembangunan Manusia), pengeluaran RT perkapita (ribu rupiah), dan AMH ( Angka Melek Huruf).

Deteksi Covid-19 Berdasarkan Data Citra X-ray Menggunakan Metode GLCM dan SVM Tri Mar'ati Nur Utami; Viola Nur Meilani; Lian Fuad
Jurnal Matematika Vol 12 No 1 (2022)
Publisher : Publisher : Mathematics Department, Faculty of Mathematics and Natural Sciences, Udayana University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24843/JMAT.2022.v12.i01.p146

Klasifikasi COVID-19 menggunakan data citra X-Ray memiliki keunggulan antara lain harga yang terjangkau dan nilai sensitivitas yang tinggi dibandingkan dengan tes PCR, Swab, Antigen, dan Genose. Oleh karena itu, penelitian ini memiliki tujuan untuk mengklasifikasikan penyakit COVID-19 berdasarkan data citra X-Ray, dalam hal ini menggunakan metode SVM dengan dua kelas yaitu COVID-19 dan Normal. Penggunaan data dipartisi menggunakan k-fold untuk data training dan data testing. Algoritma GLCM yang berorietasi terhadap sudut 0°,45°,90°, dan 135° guna untuk mengekstraksi data citra X-Ray. Karena SVM berbasis kernel, pengujian yang dilakukan menggunakan tiga jenis percobaan kernel pada SVM dan menyimpulkan bahwa kernel polinomial dapat mengidentifikasi dengan baik dibandingkan dengan kernel linier dan RBF. Hasil terbaik diperoleh dari uji coba menggunakan kernel polynomial dengan GLCM pada sudut 45° dan 90°. Dimana hasil sensitivitas, akurasi dan spesifisitas yang diperoleh memiliki nilai yang sama yaitu masing-masing 96,60%. Sistem ini memiliki error sebesar 3,4%. Dimana terdapat satu data COVID-19 terdeteksi Normal dan satu data Normal terdeteksi COVID-19. Karena nilai akurasi melebihi 90,00%, maka disimpulkan bahwa sistem yang dibangun baik dalam mendeteksi penyakit COVID-19 dengan baik.

Perbandingan ELM dan Double Exponential Smoothing Untuk Meramalkan PDRB Di Provinsi NTT Laura Liokelly Toron; Yudi Setyawan; Noviana Pratiwi
Jurnal Matematika Vol 12 No 1 (2022)
Publisher : Publisher : Mathematics Department, Faculty of Mathematics and Natural Sciences, Udayana University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24843/JMAT.2022.v12.i01.p147

Abstract: Gross Regional Domestic Product is the total number of goods and services produced by production units of all economic sectors of a particular region during one year. BPS NTT noted that the economic growth rate of NTT in 2020 experienced a contraction of -0.83% from 5.24% in the previous year, so this study aims to predict NTT's GRDP using the ELM method and Holt's Double Exponential Smoothing. ELM is an artificial neural network that has one hidden layer that is applied through training and testing process, then involves a binary sigmoid activation function and a Moore Penrose Pseudo Inverse matrix to get the output weight used to predict. DES Holt is a forecasting method that pays attention to trend data plots and uses two parameters in its calculations. The results of the forecasting research show that the ELM method with a proportion of 80%:20% is the best method for predicting the GRDP of NTT. The ELM method produces quarterly GRDP values in 2021, which are 17493.19754, 18154.80753, 18712.02153, and 18822.97416 (billion rupiah) with 4 input neurons, 12 hidden layer neurons, 1 output neuron and the MAPE value is 0.7968% which is smaller than DES Holt.

Perbandingan Metode Moving Average dan Single Exponential Smoothing Pada Peramalan Inflasi Kota Purwokerto Novita Eka Chandra; Siti Alfiatur Rohmaniah
Jurnal Matematika Vol 12 No 1 (2022)
Publisher : Publisher : Mathematics Department, Faculty of Mathematics and Natural Sciences, Udayana University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24843/JMAT.2022.v12.i01.p148

The rate of inflation that goes up and down can lead to economic instability. To overcome this, it is necessary to forecast the value of inflation in the coming year, so that the government can make decisions in regulating economic policy. The data used in this research is the inflation data for the city of Purwokerto for 6 years. Based on the data plot, it can be seen that the data can be predicted using the Moving Average and Single Exponential Smoothing methods. The purpose of this study is to compare the two forecasting methods and determine the best method based on the error size value. From the analysis, it is found that the Single Exponential Smoothing method is better used in forecasting than the Moving Average method, because the MAPE, MSD and MAD values ??are smaller. The results of inflation forecasting for the city of Purwokerto in 2018 rose by 0.44 percent.

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Computational Laboratory, Mathematics Department, Faculty of Mathematics and Natural Science, Udayana University UKM Building, UKM room no 8, Kampus Bukit Jimbaran Street, Badung-Bali.

Location
Kota denpasar,

Bali

INDONESIA

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Home Page

OAI Link

Editorial Team

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Reviewer

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Journal Mail Official jurnalmatematika@unud.ac.id

Editorial Address Computational Laboratory, Mathematics Department, Faculty of Mathematics and Natural Science, Udayana University UKM Building, UKM room no 8, Kampus Bukit Jimbaran Street, Badung-Bali.

Location Kota denpasar, Bali INDONESIA

Abstract

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Contact Name
-

Contact Email
-

Phone
-

Journal Mail Official
jurnalmatematika@unud.ac.id

Editorial Address
Computational Laboratory, Mathematics Department, Faculty of Mathematics and Natural Science, Udayana University UKM Building, UKM room no 8, Kampus Bukit Jimbaran Street, Badung-Bali.

Location
Kota denpasar,

Bali

INDONESIA