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Ida Ayu Putu Ari Utari
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Mathematics

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Kontrol Optimal Upaya Pengobatan Penyakit Campak Menggunakan Model Endemi SIR Ida Ayu Putu Ari Utari
Jurnal Matematika Vol 9 No 2 (2019)
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.2019.v09.i02.p115

Abstract

Measles is an acute highly contagious disease caused by Paramyxovirus. Measles is considered as a dangerous disease because it cause complications, brain and other organs damage, lifelong disability, paralysis and even death. In the previous studies, it was known that the spread of measles highly dependent on number of infected individuals so it is necessary to control measles through treatment. In this paper, we study about the application of the optimal control theory on the system of differential equations of the SIR endemic model. Determination of the optimal control is obtained through the application of the Pontryagin minimum principle. The main target in this paper is to find a unique optimal control where the optimal control can be described as an efficiency rate of treatment in individuals infected with measles to decrease the number of infected individuals.
Faktor-faktor yang Mempengaruhi Mahasiswa Terhadap Pemilihan Kompetensi di Program Studi Matematika Universitas Udayana Ida Ayu Putu Ari Utari; Ratna Sari Widiastuti
Jurnal Matematika Vol 11 No 2 (2021)
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.v11.i02.p143

Abstract

Tertiary education is a level of education after secondary education; it includes associate program, bachelor program, master program, specialist program, and doctorate program held by a higher educational institution. Through this higher educational institution, the students are taught to be professionals and experts in a certain area of discipline. Universitas Udayana, the oldest university in Bali, is one of the top universities in Indonesia that provides people with a high-quality education. One of the faculties in it is the faculty of mathematics and natural sciences which has six bachelor’s degree study programs, for example, mathematics program. This study program has three competencies, namely computational mathematics, financial mathematics, and statistics. Each competence has its respective applicant and the students have a certain consideration before choosing a certain competence. This study aimed to know the factors affecting the selection of a certain competence in the mathematics program in Universitas Udayana. The data analysis technique used here was the multiple regression analysis by modeling the dependent variables and independent variables. This study found that that the prospect of a certain competence had the most dominant effect on the students’ decision in choosing the competence in the Mathematics program in Universitas Udayana.
Co-Authors GUSTI AYU MADE CANDRA RINI LUH PUTU IDA HARINI MIKHA LAYASISA TARIGAN Ni Ketut Tari Tastrawati NI LUH GEDE SHINDYA ARMITA Ni Luh Putu Suciptawati Ratna Sari Widiastuti