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Journal : Kubik

Model Tingkat Kemiskinan di Kabupaten/Kota Provinsi Riau: Menggunakan Regresi Data Panel Rahmadeni Rahmadeni; Nurjannah Nurjannah
KUBIK Vol 6, No 2 (2021): KUBIK: Jurnal Publikasi Ilmiah Matematika
Publisher : Jurusan Matematika, Fakultas Sains dan Teknologi, UIN Sunan Gunung Djati Bandung

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.15575/kubik.v6i2.13598

Abstract

The purpose of this study is to model the poverty rate in the districts/cities of Riau province in 2015-2019. In this study, the panel data regression method was used to model the poverty level in the districts/cities of Riau province. There are three approaches to predict panel data regression, those are the common effect model (CEM), the  fixed effect model (FEM), and the random effect model (REM). The test results show that the problem of poverty levels in the districts/cities of Riau province in 2015-2019 is more accurately modeled with the fixed effect model (FEM) approach. From the FEM model formed, the effect of the poverty rate in the district/city of Riau province is caused by the average length of schooling of 12.136671 and economic growth of 0.304306 with the coefficient of determination (Adjusted R-square) reaching 98.62%. 
Optimal Control of Vaccination for Dengue Fever in SIR Model Nilwan Andiraja; Sri Basriati; Elfira Safitri; Rahmadeni Rahmadeni; A Martino
KUBIK Vol 7, No 2 (2022): KUBIK: Jurnal Publikasi Ilmiah Matematika
Publisher : Jurusan Matematika, Fakultas Sains dan Teknologi, UIN Sunan Gunung Djati Bandung

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.15575/kubik.v7i2.21397

Abstract

According to data from The Indonesian ministry of health, many of individuals suffere dengue fever until may 2023 in Indonesia. To reduce its cases, in this article, a single of control strategy of vaccination for infected human by dengue fever has been proposed. To obtain the optimal control, the SIR model has been modificated with single control and the new objective function has been made before the Pontryagin minimum principle is used in this article. According to the differential equation in the model of the dengue fever and the objective function, we made the Hamiltonian equation. Then, from it, the state equation, costate equation, and stationary condition has been made from the Hamiltonian equation so we obtained the optimal control in vaccination. In the end of this article, we did the numerical simulation using the sweep forward-backward method. Through numerical simulation, we find that the control succeed to reduce the infected human by dengue fever and also increase human recovery from this desease. Futhermore, the control of vaccination for infected human should be implemented not only in this mathematical model but also into real life to decrease the dengue fever case.