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Jurnal Matematika
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This is an Open Access Journal

Open Access journal
ISSN (Print) 1693-1394 - ISSN (Online) 2655-0016
Published by Universitas Udayana

[62 journals]

Analisis Dinamika Model Penyakit Toksoplasmosis pada Populasi Kucing dan
Manusia
- Authors: Riza Rusdiani, Ali Kusnanto, Paian Sianturi
  Pages: 75 - 86
  Abstract: Abstract: Toxoplasmosis is a disease that is identical to cats. This disease is caused by the parasite Toxoplasma gondii. In this study, a mathematical model of the spread of toxoplasmosis was reviewed with various population size. In this study, model construction, fixed point analysis and parameter sensitivity analysis were carried out. From the sensitivity analysis, it is shown that the cat transmission rate from a susceptible cat population to an infected cat population (horizontal transmission rate) and the probability of a susceptible cat born from an infected cat (vertical transmission rate) are found as sensitive parameters on production number ( Decreasing the horizontal transmission rate and an increase value of the vertical transmission rate can reduce the value of A decrease in the value of , results in a disease-free state will be achieved more quickly so that the disease is under control.
  PubDate: 2022-01-09
  DOI: 10.24843/JMAT.2021.v11.i02.p138
  Issue No: Vol. 11, No. 2 (2022)
Analisis Kestabilan Model Insidensi Setengah Jenuh pada Epidemi Flu Burung
- Authors: Yomi Kharisma Septika, Ali Kusnanto, Paian Sianturi
  Pages: 87 - 101
  Abstract: Abstract: The H5N1 avian influenza is an example of a pathogen that is known to cause human disease outbreaks. This study focuses on selecting avian influenza control strategies using Half-Saturated Incidence (HSI) Models. In this study, a model was constructed by involving elements of human self-protection, poultry isolation and poultry vaccination. Furthermore, it is shown that the parameters that influence are the parameters of the population that apply personal protection and its effectiveness, the parameters of the rate of isolation of birds with avian influenza, and the parameters of vaccine coverage and its effectiveness. Increasing the value of this parameter can reduce the basic reproduction number so that disease-free conditions can occur. Hence, controlling the dynamics of disease spread can be done by increasing the value of these parameters.
  PubDate: 2022-01-10
  DOI: 10.24843/JMAT.2021.v11.i02.p139
  Issue No: Vol. 11, No. 2 (2022)
Pemanfaatan Big Data dalam Monitoring Pola Aktivitas Aviasi di Indonesia
- Authors: Nasiya Alifah Utami, Thosan Girisona Suganda, Setia Pramana
  Pages: 102 - 118
  Abstract: Abstract: Covid-19 which entered Indonesia in December 2019 has a significant impact on the aviation industry. According to BPS data for 2020, the aviation industry's contribution to Indonesia's GDP decreased from 1.21% to 0.28% in the second quarter of 2020. To overcome this setback, comprehensive monitoring by policy makers is needed. The use of big data in monitoring aviation industry activities can be an option. This study aims to analyze aviation activities using big data approach for monitoring basis. The data was collected by using web scraping method on one of the global aviation websites to obtain flight status data at 108 airports in Indonesia on April 2020 until June 2021. Other data used are google mobility index data, GDP data, and TPK. The analysis method used are descriptive analysis, correlation analysis and machine learning based time series modelling with ARNN, single layer ANN and MLP. The results show that the policy of restricting mobility has a significant effect on the productivity of aviation industry. Machine learning modeling shows that the MLP model is the best model for forecasting international aviation activity. In addition, it was found that the aviation industry has a strong correlation with the economy and tourism sector in Indonesia.
  PubDate: 2022-01-10
  DOI: 10.24843/JMAT.2021.v11.i02.p140
  Issue No: Vol. 11, No. 2 (2022)
\[\beta \]-Dual Dari Ruang Barisan \[{\left( {\overline N ,\Delta \lambda
} \right)_\infty },\left( {\overline N ,\Delta \lambda } \right)\], dan
\[{\left( {\overline N ,\Delta \lambda } \right)_0}\]
- Authors: Salwa Salwa, Qurratul Aini, Ni Wayan Switrayni
  Pages: 119 - 124
  Abstract: Sequence spaces is one of interesting topic of analysis research. Some of that are convergent and bounded sequence. In this paper we define some releated BK spaces ('''',''''')', ('''','''''), dan ('''',''''')0 some characteristics releated to them. Moreover we determine their '-dual.
  PubDate: 2022-01-10
  DOI: 10.24843/JMAT.2021.v11.i02.p141
  Issue No: Vol. 11, No. 2 (2022)
Kondisi Steady State Sistem Bonus Malus Swiss dengan Frekuensi Klaim
Binomial Negatif-Lindley
- Authors: Endang Wahyu H, Marji Marji
  Pages: 125 - 134
  Abstract: Abstrak. Sistem pembayaran premi asuransi kendaraan terdiri dari beberapa state. Pembagian state ini didasari oleh banyaknya pemegang polis yang mengajukan klaim setiap tahunnya. Pola perubahan yang terjadi pada state akan mengakibatkan pencarian kondisi steady state yakni kondisi yang sudah mencapai stabil, tidak mengalami perubahan terhadap parameter waktu. Sistem Bonus-Malus Swiss (BMS) memiliki 22 state dengan distribusi dari banyaknya yang mengajukan klaim adalah Binomial Negatif-Lindley (r,').Metode yang digunakan untuk mendapatkan distribusi stasioner adalah metode rekursif. Hasil yang diperoleh melalui simulasi numerik, untuk nilai parameter r yang kecil dan ' yang besar maka pemegang polis cenderung ke state 0 yaitu (super bonus). Kata Kunci: Steady state, BMS, Binomial Negatif-Lindley
  PubDate: 2022-04-05
  DOI: 10.24843/JMAT.2021.v11.i02.p142
  Issue No: Vol. 11, No. 2 (2022)
Faktor-faktor yang Mempengaruhi Mahasiswa Terhadap Pemilihan Kompetensi di
Program Studi Matematika Universitas Udayana
- Authors: Ida Ayu Putu Ari Utari, Ratna Sari Widiastuti
  Pages: 135 - 143
  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.
  PubDate: 2021-12-31
  DOI: 10.24843/JMAT.2021.v11.i02.p143
  Issue No: Vol. 11, No. 2 (2021)