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Journal : Jurnal Matematika

Analisis Stabilitas Model SIR (Susceptibles, Infected, Recovered) Pada Penyebaran Penyakit Demam Berdarah Dengue di Provinsi Maluku Zeth Arthur Leleury; Yopi Andry Lesnussa; Johan Bruiyf Bension; Yulia S. Kakisina
Jurnal Matematika Vol 7 No 2 (2017)
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.2017.v07.i02.p91

Abstract

Health is an investment to support economic development and has an important role in efforts to reduce poverty and improve the quality of human resources. One of the diseases that often become serious problem in health sector that is Dengue Hemorrhagic Fever (DHF). In Indonesia, many mosquitoes cause dangerous DHF such as Aedes aegypti, Aedes albopictus, Aedes africanus, anopheles and others. In this study, we analyzed and applied SIR (Susceptible, Infection, Recovered) mathematical models and their interpolation to determine whether a contagious disease (DHF) can become endemic or not. Therefore, in this study aimed to determine the a special form of model of SIR to analyze the spread of DHF in Maluku Province and the stability analysis of this model and also interpolating the data of DHF transmission in Maluku Province. Furthermore, it can be obtained the characteristics of equilibrium point of each sub population. Based on the research conducted it can be concluded that from the entire population of Maluku Province is 1.686.469 vulnerable people infected with DHF and endemic disease with the basic reproduction value is 3,44.
Peramalan Cuaca Menggunakan Metode Rantai Markov (Studi Kasus : Cuaca Harian Di Kota Ambon) Set Sasake; Yopi Andry Lesnussa; Abraham Zakaria Wattimena
Jurnal Matematika Vol 11 No 1 (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.i01.p131

Abstract

Weather is a state of the air at certain times in certain areas that are relatively narrow and in a short period of time. Weather forecasting is an activity carried out to produce a collection of information about upcoming weather conditions. One method used to predict these conditions is by using the Markov chain method. The Markov chain is a random process in which all information about the future is contained in the present state. The purpose of this study is to model and predict daily weather that will occur over the next week with the Markov Chain model. The data used in this study are Ambon City daily weather data from December 1, 2019, to January 31, 2020, by the Meteorology, Climatology, and Geophysics Agency (BMKG), Ambon City Meteorological Station. Daily weather forecasting results that occur are quite varied but the most dominant weather occurs during the next week that is Cloudy and Light Rain.
Pemodelan Spatial Error Model (SEM) Untuk Mengidentifikasi Indeks Pembangunan Manusia di Provinsi Maluku Tahun 2016 Fauzan Samallo; Yopi Andry Lesnussa; Abraham Z. Wattimena; Muhammad Yahya Matdoan
Jurnal Matematika Vol 8 No 1 (2018)
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.2018.v08.i01.p99

Abstract

Human Development Index (HDI) is a quality measure that can be used to determine the quality of human development that has been achieved. HDI is a composite index that composed of 3 components, such as: Length of life measured by life expectancy at birth, Education measured by average school duration and expectations school duration and standard of living measured by Purchasing Power Parity (PPP) in rupiah. The model used in this research is Spatial Error Model (SEM) to identify Influence of Variables X on IPM value and pattern of HDI distribution in a region with Ordinary Linear Square (OLS) parameter estimates. From the map thematic data that obtained, it can be seen that the pattern of the spread of Human Development Index (HDI) in Maluku Province has no effect on the distance of a region. There is a correlation between the components of HDI compilers to the HDI value in Maluku Province, because there is a spatial dependency on the dependent variable. Lambda value coefficient which is negative and significant at ? = 10% indicates that there is no correlation of HDI value in a region with other adjacent area. Also indicated by spatial residuals in adjacent areas do not have the same characteristics.
Numerical Solution Of The SIRV Model Using The Fourth-Order Runge-Kutta Method Rijoly, Monalisa E; Lesnussa, Yopi Andry; Sapulette, Nona Tjie
Jurnal Matematika Vol 13 No 2 (2023)
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.2023.v13.i02.p164

Abstract

This study aimed to predict the spread of the Covid-19 virus in Maluku Province using the fourth-order Runge-Kutta method. The mathematical model of the spread of the Covid-19 virus is a system of differential equations which includes Susceptible (S) variables, namely human subpopulations that are susceptible to Covid-19 virus infection, Infected (I), namely human subpopulations infected with the Covid-19 virus, Recovered (R) namely subpopulation of people who have recovered and Vaccination (V) namely a subpopulation that has been vaccinated and is immune to the Covid-19 virus, used as initial values. The values of are parameter values that are numerically solved by the fourth-order Runge-Kutta method performed for 24 literations with . Data were obtained from the Maluku Provincial Health Office from March 2022 - November 2022. Based on the data obtained, the average of the data is used as the initial value, where . The initial and parameter values were substituted into the numerical solution and simulated using Matlab. The rate value of each class for the next 24 months for the Susceptible (S), Infected (I), and Recovered (R) classes has decreased until it approaches zero equilibrium. It shows that the subpopulation of the three classes no longer exists, and the Vaccinated (V) class has increased significantly because almost all of the population has been vaccinated in the next 24 months. It shows that after an individual is vaccinated, he does not return to being vulnerable.
Co-Authors Abdul Malik Balami Abraham Z Wattimena Abraham Z. Wattimena Abraham Zakaria Wattimena Abraham Zakharia Wattimena Abrahams, H. Apituley, Fredrylo Alberth Noel Joddy Astrid A Titahena Astrid G. Heumasse Aulele, Salmon Notje Batkunde, Harmanus Beay, Lazarus Kalvein C. G. Mustamu Charlita Fhilya Chrisani Waas Citra Fathia Palembang D Patty D. L. Rahakbauw Damani, Nur Mila Dewi Ls Djaelani, Eka Desi Kirana E R Persulessy E. R. Persulessy Elvinus P. Persulessy Endro Risamasu F. Kondo Lembang Fauzan Samallo Fhilya, Charlitta Filiany S. Tutupary H. Kelian H. Lellolsima H. W. M. Patty Hayoto, Sasmita Hernita, Hernita Hukubun, V Idah, Mus Rika Ilwaru, Venn Y. I. Ilwaru, Venn Yan Ishak Jaariyah, Muhidin Jefri Esna Thomas Radjabaycolle Johan Bruiyf Bension Julianty Madiuw Lakotany, Jemsry E. Larubun, Swine Enggelina Latumeten, Ralf Leleury, Zeth A. Lewaherilla, Norisca Lexy Jansen Sinay Lexy Janzen Sinay, Lexy Janzen M. S. Noya Van Delsen M. W. Talakua M. W. Talakua Madiuw, Julianty Marsudi Marsudi Matdoan, M Y Mozart W. Talakua Muhammad Y. Matdoan Muhammad Yahya Matdoan Muhammad Yahya Matdoan Munahaji Lukaraja Mus Rika Idah Nanang Ondi Natasian, Nehemia Trianto Noya van Delsen, Marlon S. Noya van Delzen, Marlon Stivo Nurhidayah Nurhidayah Ojo, Mayowa Micheal Ondi, Nanang Papalia, Anita Patty, Henry Willyam Michel Persulessy, Elvinus R. Peter, Olumuyiwa James R. J. Djami Rahakbauw, Dorteus L. RAHAKBAUW, DORTEUS LODEWYIK Rijoly, Monalisa E Rijoly, Monalisa E. Rijoly, Monalissa E Ronald John Djami Rukua, Abdul Wahid Rumalowak, Diana Rumata, Umi Sari Rumfot, Rindyani Rumlawang, F Y Rumlawang, Francis Y RUMLAWANG, FRANCIS YUNITO Sahusilawane, Maria Engeline Saija, Maryone Salamahu, Leberima Sapulette, Nona Tjie Set Sasake Sinay, Lexy Jansen Stevanny Tamaela Subchan Subchan Subchan, Subchan Sumah, Tesa Tahalea, Sylvert Prian Talakua, Mozart W. Talakua, Mozart Winston Tamaela, Stevanny Tentua, Jesica Tomasouw, Berni Pebo Tomasouw, Berny Pebo Tuanaya, Adis Harni Venn Y.I. Ilwaru Vynska Amalia Permadi Waas, Rethalina Warong, Maria Marlein Wattimena, Abraham Zacaria Wattimury, Welminci W Yulia S. Kakisina Zakheus Putlely Zeth Arthur Leleury, Zeth Arthur