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Lukita Ambarwati
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JMT (Jurnal Matematika dan Terapan)
Published by Universitas Negeri Jakarta
ISSN : -     EISSN : 26156792     DOI : https://doi.org/10.21009/jmt.6.1
Core Subject : Economy, Science,
Decision Sciences, Operations Research & Management Economics, Econometrics & Finance
JMT (Jurnal Matematika dan Terapan) is a journal that publishes about scientific papers containing fields of mathematics such as analysis, geometry, algebra and its application. This mathematics journal contains about the result of student thesis, research lecturer both in mathematics prodi unj and outside unj. This math journal helps me to write the results briefly, clearly, and densely. So that students, lecturers, or researcher of mathematics have a container to write the results of research being worked on.
Arjuna Subject : Matematika - Matematika Terapan
Articles 52 Documents
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Model Matematika Co-infection Tuberkulosis dan COVID-19 dengan Intervensi Obat Anti Tuberkulosis (OAT) Safira Putri Islamiati; Eti Dwi Wiraningsih; Devi Eka Wardani Meganingtyas
JMT : Jurnal Matematika dan Terapan Vol 5 No 1 (2023): JMT (Jurnal Matematika dan Terapan)
Publisher : Program Studi Matematika Universitas Negeri Jakarta

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.21009/jmt.5.1.4

Abstract

Tuberculosis and COVID-19 are deadly infectious diseases with similar symptoms which mostly attacks lung. When these infections conduct in a single host simultaneously, it will give a low chance of survival. This thesis constructed and analyzed a compartmental tuberculosis and COVID-19 co-infection with anti-tuberculosis drugs intervention model. Our model claimed that the equilibrium point of the co-infection model is stable when the basic reproduction number or the number of the secondary infections is below 1. Numeric simulation was given, using parameter value calculated from the data of tuberculosis and COVID-19 situation in Indonesia period of March 2020 until March 2021 along with the result displayed in graphic. The basic reproduction number were obtained accordingly with the parameter value by 0.1819422898. This means, there are no Tuberculosis and COVID-19 co-infection transmission inside the population.
Pemodelan Geographically Weighted Regression Menggunakan Pembobot Kernel Fixed dan Adaptive pada Kasus Tingkat Pengangguran Terbuka di Indonesia Mila Rizki Ramadayani; Fariani Hermin Indiyah; Ibnu Hadi
JMT : Jurnal Matematika dan Terapan Vol 4 No 1 (2022): JMT (Jurnal Matematika dan Terapan)
Publisher : Program Studi Matematika Universitas Negeri Jakarta

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.21009/jmt.4.1.5

Abstract

Unemployment Rate (UR) is an indicator for measuring the unemployment. Increase in the number of TPT in Indonesia by 1.84%, this is due to the impact of the covid-19 pandemic. analysis to find out the factors that affect TPT in Indonesia is by using multiple linear regression. The results showed that the data contained heterokedasticity and spatial aspects. Spatial data analysis continued with the point approach is by the Geographically Weighted Regression method (GWR). GWR is a weighted regression that results in a model that is local. GWR modeling uses weighting kernels Fixed Gaussian, Adaptive Gaussian , Fixed Bi-Square, and Adaptive Bi-Square produces that GWR Adaptive Bi-Square better, review value of the R2,AIC and JKG. The ability of the GWR model explains the effect of UR on factors (Labor Force or economically active, Health Complaint and Poverty Percentage) by 89.1%.
Analisis Kestabilan Pemodelan Matematika Penyebaran Word Of Mouth Berbasis Brand Community Daniel Alexander; Eti Dwi Wiraningsih; Lukita Ambarwati
JMT : Jurnal Matematika dan Terapan Vol 5 No 1 (2023): JMT (Jurnal Matematika dan Terapan)
Publisher : Program Studi Matematika Universitas Negeri Jakarta

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.21009/jmt.5.1.3

Abstract

Word of mouth marketing based on community brands makes companies target communities that are in accordance with product characteristics so that word of mouth marketing becomes more effective. This thesis focuses on modeling and analyzing word of mouth marketing based on brand community. Model consists of five variables, namely Susceptible, Infected, Community, Positive, and Negative. The model is analyzed by determining the equilibrium point which produces two equilibrium points, namely the equilibrium point obtained when there are no infected individuals and the equilibrium point obtained when there are infected individuals. The simulation uses data that has been obtained from one of the companies in Indonesia, with the basic reproduksi number is 950,1458877.
Analisis Penyebaran Penyakit Covid-19 dengan Pengaruh Pengobatan Isolasi Mandiri dan Pengobatan Perawatan Rumah Sakit (Studi Kasus Penyebaran di DKI Jakarta) Adam Victorio Alexis; Fariani Hermin Indiyah; Eti Dwi Wiraningsih
JMT : Jurnal Matematika dan Terapan Vol 4 No 1 (2022): JMT (Jurnal Matematika dan Terapan)
Publisher : Program Studi Matematika Universitas Negeri Jakarta

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.21009/jmt.4.1.4

Abstract

In this research, a model for the spread of Covid-19 will be built using a differential equation because in the population there are two subpopulations who can spread the disease, there is one subpopulation who go through incubation period, and there are also 2 subpopulations who go through the treatment so the model will consists of compartments such as susceptible, exposed, asymptomatically infectious, symptomatically infectious, treatment 1 (self-isolation), treatment 2 (hospital care), and recovered. Analysis begins by calculating the disease-free equilibrium and endemic equilibrium. Before stability analysis, the model must be checked for adequacy in describing the disease spread. Stability analysis begins by forming the next generation matrix of the model with helps of jacobian matrix and chracteristic equation, then we can get basic reproduction number. By entering the value of parameters according to data to the basic reproduction number, we get reproduction number is 0,851115. The size of reproduction number means that the disease will disappear from the population.
Solusi Semi Analitik Persamaan Burgers Menggunakan Metode Dekomposisi Adomian Laplace Brinda Sari; Lukita Ambarwati; Eti Dwi Wiraningsih
JMT : Jurnal Matematika dan Terapan Vol 5 No 2 (2023): JMT (Jurnal Matematika dan Terapan)
Publisher : Program Studi Matematika Universitas Negeri Jakarta

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.21009/jmt.5.2.2

Abstract

Burgers equation is a partial differential equation which has important rule in fluid mechanics. Because it has nonlinear terms, the exact solution is complicated to find. Therefore many methods have been developed to find the approximate solution that can estimate the exact solution. In this research, the Laplace Adomian decomposition method is applied to calculate the approximate solution of Burgers equation. The method is a semi-analytical method to resolve nonlinear differential equation. By the numerical simulation, we obtained a result that the approximate solution by this method can estimate the exact solution with the sum of absolute and relative error less than those using approximate solution obtained by the Adomian decomposition method without the use of Laplace transform. Therefore the Laplace Adomian decomposition method is more accurate than the Adomian decomposition method in order to estimate the exact solution of the Burgers equation.
Peramalan Jumlah Penderita DBD di Provinsi Jawa Barat dengan Metode Hybrid Sarimax-Ann Indriany Rahayu; Rini Marwati; Dewi Rachmatin
JMT : Jurnal Matematika dan Terapan Vol 4 No 2 (2022): JMT (Jurnal Matematika dan Terapan)
Publisher : Program Studi Matematika Universitas Negeri Jakarta

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.21009/jmt.4.2.2

Abstract

Indonesia is one of the tropical countries in the world, therefore Indonesia has two seasons, namely the dry season and the rainy season. Because it has two seasons, it can cause tropical diseases that is growing very fast is Dengue Hemorrhagic Fever (DHF). DHF is time series data tha can be collected annually and has a seasonal cycle. Because it is time series data, it can be forecasted using SARIMAX method, but SARIMAX is only able to solve linear problems and to overcone non-linear prolblems it can be solved using the ANN Backpropagation method. Therefore, in this study using the Hybrid SARIMAX-ANN method. The data in this study contained the dependent variable and the independent variable. The dependent variable is DHF data, while the independent variable is air humidity, air temperature, and rainfall data. The result obtained in this study, namely the factor that greatly affects DHF is air humidity. Forecasting result form Januari 2021 to June 2021 are 1.081, 960, 1.132, 1.103, 2.467, and 1.605. the it produces a MAPE value of 16,33% which means a good level of accuracy.
Metode Bayesian untuk Estimasi Parameter Distribusi Eksponensial pada Data Tersensor Reza Anjab Ramadhan; Widyanti Rahayu; Ibnu Hadi
JMT : Jurnal Matematika dan Terapan Vol 4 No 2 (2022): JMT (Jurnal Matematika dan Terapan)
Publisher : Program Studi Matematika Universitas Negeri Jakarta

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.21009/jmt.4.2.3

Abstract

Parameter is a value that describe the characteristics of a population. But the parameter of a real data, the value is unknown. To estimate the value of the parameter, there are several methods, which are maximum likelihood estimation method (MLE) and Bayesian parameter estimation method. In Bayesian method, the prior information is applied to update the current data. The prior is determined based on the information in the data. This article using censored data with exponential distribution, and using the conjugate prior. Followed by squared error loss function (SELF), the estimated value function on the λ parameter. When the function was applied on Stanford heart transplant data, the value of ˆλ = 0.00089, which means the patient’s failure (death) probability is low and the patient’s probability to survive is high.
Perbandingan Metode Perhitungan Jarak Euclidean dengan Perhitungan Jarak Manhattan pada K-Means Clustering Dalam Menentukan Penyebaran Covid di Kota Bekasi Faisal Nur Cahya; Yudi Mahatma; Siti Rohmah Rohimah
JMT : Jurnal Matematika dan Terapan Vol 5 No 1 (2023): JMT (Jurnal Matematika dan Terapan)
Publisher : Program Studi Matematika Universitas Negeri Jakarta

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.21009/jmt.5.1.5

Abstract

Clustering is a method of grouping in an information database based on certain conditions. The research applies the k-means clustering calculation problem with the euclidean distance calculation approach with the manhattan distance calculation. The method formed aims to compare in terms of the working process between the calculation of the Euclidean distance with the calculation of the Manhattan distance. The result is a comparison of the distance calculation between the distance calculation euclidean and the distance calculation manhattan in terms of the work process to be able to determine the center points of the spread of the covid disease from the comparison of the distance calculation Euclidean and the distance calculation Manhattan. The calculation results obtained are the K-Means calculation with the euclidean distance calculation approach, the number of iterations is 15 times, while by using the manhattan distance calculation, the number of iterations is 7 times. So it is concluded that in terms of processing manhattan is faster than euclidean. The calculation results obtained are the results of calculations from Covid-19 data in Bekasi City up to September 1, 2021.
Optimal Control Solution for Rabies Disease Transmission within Free-ranging Dog Eti Dwi Wiraningsih; Z. Jamaludin; A. P. Ramadhan; M. Misbach Jamaludin
JMT : Jurnal Matematika dan Terapan Vol 4 No 2 (2022): JMT (Jurnal Matematika dan Terapan)
Publisher : Program Studi Matematika Universitas Negeri Jakarta

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.21009/jmt.4.2.5

Abstract

This paper considers deterministic model for transmission dynamics of rabies virus in the free-ranging dog population. The stability of system near by Disease Free Equilibrium point is analized using Next Generation Matrix. The effect of vaccination in susceptible dog population is considered on the model. We then present the effective reproduction number in the present of the vaccination. Further we developed the formula to obtain the optimal vaccination to eliminate the endemic equilibrium, via the Pontryagin Maximum Principle. Numerical example are presented to show the properties of the optimal control solution.
Masalah Vehicle Routing Problem pada Pengiriman Barang di Kota Bandung Utara dengan menggunakan Kluster K-Means dan Algoritma Nearest Neighbor Debby Agustine; Ibnu Hadi Hadi; Devi Eka Wardani Meganingtyas
JMT : Jurnal Matematika dan Terapan Vol 4 No 2 (2022): JMT (Jurnal Matematika dan Terapan)
Publisher : Program Studi Matematika Universitas Negeri Jakarta

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.21009/jmt.4.2.1

Abstract

The Vehicle Routing Problem (VRP) is an optimization problem in determining the route of packet distribution with limited vehicle capacity. Routing in the distribution of packets is important so that the shortest route will be sought so that the package arrives on time. One of the algorithms that discusses the search for vehicle routes with VRP problems is the Nearest Neighbor Algorithm, as for the stages in finding the best route by enumerating all possible sequences of existing routes and selecting the best set of routes in order to find the shortest route from one node to all other nodes. so it becomes a connected route.

Page 3 of 6 | Total Record : 52

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