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Journal : Journal of Mathematics: Theory and Applications

Model Matematika Penyebaran Hoax COVID-19 Wahyudin Nur; Darmawati Darmawati
Journal of Mathematics: Theory and Applications Volume 2, Nomor 1, 2020
Publisher : Program Studi Matematika Universitas Sulawesi Barat

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (362.121 KB) | DOI: 10.31605/jomta.v2i1.756

Abstract

In this article, the problem of spreading hoaxes during the corona-19 outbreak is studied using a mathematical model. Currently, we often see a lot of hoaxes that are very unsettling, for example the news that eggs are a corona drug. In addition, there have been denials of funerals for Covid victims in various regions. In this article, the impact of government education and outreach, decisive action against hoax spreaders and ignorance of people who understand the problem of Covid-19 regarding the spread of hoaxes. The model built using 4 compartments, equilibrium point, free hoax spreader, basic reproduction number and sensitivity analysis are discussed in this article. Several numerical simulations are provided to test the theoretical study of the model
Mathematical Model of Armed Criminal Group with Pre-emitive and Repressive Intervention Wahyudin Nur; Darmawati Darmawati
Journal of Mathematics: Theory and Applications Volume 2, Nomor 2, 2020
Publisher : Program Studi Matematika Universitas Sulawesi Barat

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (2263.753 KB) | DOI: 10.31605/jomta.v2i2.872

Abstract

Armed Criminal group is one of the problems faced by many countries in the world. Awful behaviour of armed criminal group members can affect a large amount of people. In this paper, we construct a deterministic mathematical model that takes into account persuasive and repressive intervention. We consider crime as a social epidemic. We determine the armed criminal group free equilibrium point and the armed criminal group persistence equilibrium point together with their existence condition. The next generation matrix is used to obtain the basic reproduction number. The local stability conditions of equilibrium points are proved using linearization. We show that the armed criminal group free equilibrium point is globally asymptotically stable under certain condition. Numerical simulations are performed to support our deductive study.
Stability Analysis of Tuberculosis SITS Model Wahyudin Nur; Magfirah Magfirah; Darmawati Darmawati; Ahmad Ansar
Journal of Mathematics: Theory and Applications Volume 2, Nomor 2, 2020
Publisher : Program Studi Matematika Universitas Sulawesi Barat

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (1113.507 KB) | DOI: 10.31605/jomta.v2i2.874

Abstract

Tuberculosis (TB) is an infectious disease caused by mycobacterium tuberculosis. The purpose of this study is to investigate the dynamics of TB spread by using mathematical model. We develop SITS model which expressed as system of differential equations. The system has two equilibrium points, namely disease-free equilibrium point and endemic equilibrium point. The stability condition of the equilibrium points is proved. We perform several numerical simulations to support our theoretical results.
MODEL MATEMATIKA PADA PENYAKIT DIABETES MELITUS DENGAN FAKTOR GENETIK DAN FAKTOR SOSIAL Karlina Kaya'; Darmawati; Darma Ekawati
Journal of Mathematics: Theory and Applications Volume 3, Nomor 1, 2021
Publisher : Program Studi Matematika Universitas Sulawesi Barat

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (1306.208 KB) | DOI: 10.31605/jomta.v3i1.1366

Abstract

Diabetes melitus (DM) adalah penyakit yang berhubungan dengan metabolisme yang ditandai dengan kenaikan kadar glukosa dalam darah atau hiperglikemi. Tujuan dari penelitian ini adalah mengetahui dinamik dari penyebaran DM menggunakan model matematika yaitu model yang memperhatikan faktor genetik dan faktor sosial. Penelitian ini memperoleh bilangan reproduksi dasar dan titik kesetimbangan bebas penyakit juga titik kesetimbangan endemik. Pada akhir penelitian, diberikan simulasi model dengan menggunakan aplikasi maple untuk mendukung teori yang diberikan.
PEMODELAN MATEMATIKA SEIqInqR PADA PENYEBARAN COVID-19 Masita; Darmawati; Fardinah
Journal of Mathematics: Theory and Applications Volume 3, Nomor 1, 2021
Publisher : Program Studi Matematika Universitas Sulawesi Barat

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (1314.403 KB) | DOI: 10.31605/jomta.v3i1.1375

Abstract

Coronavirus is a disease that is transmitted to humans that usually causes respiratory tract infections, the common cold to serious illnesses. Currently, COVID-19 cases in Indonesia are increasing due to significant transmission in various regions and the entry of corona variants in Indonesia which spreads faster, therefore the number of deaths due to COVID-19 is also increasing and Indonesia has the highest death toll in the world. The purpose of this study is to build a model and analyze the SEIqInqR mathematical model there are two equilibrium points, namely disease-free and endemic. Model analysis was performed using the Routh-Hurwitz criteria to identify the eigenvalues. From the results of the analysis obtained that the disease-free equilibrium point will be stable if the value of R0 < 1 of the 0,004487 and the endemic equilibrium point will be stable if the value of R0>1 of this 4,303393 at the end of the study, a simulation model was given using the maple application.based on simulation results the disease will disapper and the disease will become epidemic
Parameter Estimation of The Blumberg Model Using Simulated Annealing Algorithm: Case Study of Broiler Body Weight Wahyudin Nur; Darmawati
Journal of Mathematics: Theory and Applications Volume 5, Nomor 1, 2023
Publisher : Program Studi Matematika Universitas Sulawesi Barat

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31605/jomta.v5i1.1762

Abstract

The Blumberg model is one of the logistic models. The advantage of the Blumberg model is the flexibility of the inflection point. The Blumberg model is believed to be suitable for modeling the growth of living organs. In this article, we estimate the parameters of the Blumberg model using simulated annealing algorithm. The simulated annealing algorithm is a heuristic optimization method based on the metal annealing process. The data used is Broiler daily weight data. The model obtained fits the daily weight data of Broiler. Our results show that the closer the cooling schedule factor to 1, the smaller the error. In addition, we must carefully select the initial temperature. The selection of the initial temperature that is not suitable drives the error to enlarge.