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MODEL MATEMATIKA KETERGANTUNGAN MASYARAKAT TERHADAP MEDIA SOSIAL Oktavia, Nanda; Rosha, Media
Journal of Mathematics UNP Vol 8, No 4 (2023): Journal Of Mathematics UNP
Publisher : UNIVERSITAS NEGERI PADANG

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24036/unpjomath.v8i4.14908

Abstract

The convenience presented by social media technology leads to dependence on its users. Social media dependence has a bad impact on humans and is very dangerous for its users. Thus it is necessary to analyze how the level of dependence of society on social media. The transmission of social media dependence occurs if there is interaction between communities. The study aims to determine the level of dependence of the community on social media. This research is stated ase basic research and uses literature studies. This research begins with identifying problems, formulating mathematical models, conducting stability analysis at the point and interpreting the mathematical model. Based on the results of the analysis, this point remains free and endemic to people's dependence on social media exists and will be asymptotic stable if it meets some of the conditions of the Routh-Hurwitz criteria. Based on the simulation results, the interaction and the number of people who recover can affect the spread of dependence on social media. The spread of people's dependence on social media will be reduced if the rate of recovery is increased.
Model Matematika Tipe SIQR Penyebaran Penyakit Difteri Dengan Pengaruh Vaksinasi Putra, Kevin Pramana; Rosha, Media
Journal of Mathematics UNP Vol 7, No 4 (2022): Journal Of Mathematics UNP
Publisher : UNIVERSITAS NEGERI PADANG

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24036/unpjomath.v7i4.13993

Abstract

The Bacteria Corynebacterium diphtheria is the cause of the possibly deadly infectious disease diphtheria. The esophagus and upper respiratory tract are attacked by these bacteria. This study’s objectives were to develop a mathematical model of diphtheria spreading of the SIQR tyoe with the influence of vaccination, analyze equilibrium point stability  and interpret  model simulation results. The type of research  is  theoretical research. This study uses descriptive methods to analyze theories about diphtheria. Two equilibrium points are obtained based on the analysis results of the SIQR model. When the basic reproduction number is less than 1, there exists an  asymptotically stable disease-free equilibrium point. On the other hand, if the basic reproduction number is greater than 1, there are two equilibrium points.Asymptotically stable endemic balance and  unstable disease-free balance. One way to control the spread of diphtheria is through vaccination. The higher the vaccination coverage, the more diseases will be eradicated from the population.
Analisis Perbandingan Metode Mean Gini dan Mean Variance dalam Pembentukan Portofolio Optimal pada Saham Perusahaan Kesehatan Dramutia, Alfika; Rosha, Media
Journal of Mathematics UNP Vol 9, No 1 (2024): Journal Of Mathematics UNP
Publisher : UNIVERSITAS NEGERI PADANG

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24036/unpjomath.v9i1.15027

Abstract

Optimal Portofolio Formation can be done using various approaches, including the Mean Gini and Mean Variance methods.The purpose of this study is to compare the performance of theMean Gini and Mean Variance methods in the formation ofoptimal portfolios. This portfolio formation uses stock data onhealth companies on the Indonesia Stock Exchange. The timeperiod used is 2021. Portfolio performance can be determinedby assessing the Sharpe Ratio. The results of the Sharpe Ratiocomparison of the Mean Gini method have superior performancebecause the value is greater, namely 0.61. while the MeanVariance Method has a smaller Sharpe Index value of-1.38. 
Analisis Perbandingan Portofolio Optimal Model Markowitz dan Model MVEP (Studi Kasus Saham LQ-45 di Bursa Efek Indonesia di Masa Pandemi Covid-19) Silvia, Ade; Rosha, Media
Journal of Mathematics UNP Vol 9, No 2 (2024): Journal Of Mathematics UNP
Publisher : UNIVERSITAS NEGERI PADANG

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24036/unpjomath.v9i2.13160

Abstract

Investing involves allocating funds with the expectation of future profits. The higher the expected return, the higher the risk one must assume. Optimal portfolios are designed to minimize risk while maximizing returns. The Markowitz model and the Mean Variance Efficient Portfolio (MVEP) are two methods that can be used to construct such portfolios. This study aims to compare the optimal portfolios of LQ-45 stocks during the Covid-19 pandemic using both the Markowitz model and the MVEP model, and to evaluate the performance of these portfolios by calculating the Sharpe ratio index. The analysis reveals that the optimal portfolio formed using the Markowitz model outperforms the one formed using the MVEP model
Penerapan Model ARCH dan GARCH dalam Peramalan Jumlah Penumpang Datang di Bandara Internasional Minangkabau Wulandari, Azizah; Rosha, Media
Journal of Mathematics UNP Vol 9, No 1 (2024): Journal Of Mathematics UNP
Publisher : UNIVERSITAS NEGERI PADANG

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24036/unpjomath.v9i1.15152

Abstract

Air transport is the first choice for people who travel long distances. Forecasting is important in the decision-making process, especially for air transportation which can provide information on the increase and decrease in passengers that fluctuate. To describe the fluctuation of a data that changes rapidly over time results in the variance of error changing over time, so the data is estimated to be heteroscedasticity. ARCH and GARCH methods are useful for modeling heteroscedasticity elements in data. The following research includes applied research, using data on the number of passengers arriving on airplanes in 2018 –2022. From the results of the study, the best model according to the lowest AIC value was obtained the GARCH model (1.2). The variance equation in the GARCH model (1,2) is . Then using the GARCH model (1.2), forecasting was carried out in 2018 – 2022, which was as many as 60 data. From the forecasting results obtained the number of passengers came the aircraft.
Model Matematika Free Throw pada Permainan Bola Basket Saputra, Yogi Trio; Rosha, Media
Journal of Mathematics UNP Vol 8, No 3 (2023): Journal Of Mathematics UNP
Publisher : UNIVERSITAS NEGERI PADANG

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24036/unpjomath.v8i3.14921

Abstract

In basketball, basic skills such as Passing, Dribbling, Rebound, and Shooting are crucial. Shooting includes various techniques like one hand set shoot, jump shot, lay up, hook shot, runner, three-point shot, and free throw. A free throw is an unguarded shot that awards one point if successful. One of the factors that affects the success of executing a free throw is understanding the physics principles involved, such as parabolic motion, Magnus effect, gravitational force, and friction when the ball is in the air. During a free throw, the ball moves in three dimensions (3D). This applied research utilized secondary data and the numerical method of Runge-Kutta to determine the optimal trajectory of the ball during a free throw. The results indicate that an initial velocity of 10 m/s with a spin frequency of 3 rot/s and a shooting angle of 30°, as well as a shooting angle of 48° with a spin frequency of 3 rot/s and an initial velocity of 8 m/s, provide the best trajectory for scoring points.
Statistical Quality Control pada Produk Air Minum dalam Kemasan Merek X di CV XYZ Diantami, Melati; Rosha, Media
Journal of Mathematics UNP Vol 8, No 4 (2023): Journal Of Mathematics UNP
Publisher : UNIVERSITAS NEGERI PADANG

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24036/unpjomath.v8i4.14454

Abstract

Bottled water is one alternative that can be used to meet the clean water needs in society. X brand of bottled water is one of the brands circulating in West Sumatra. Based on the quality requirements of SNI 01-3553-2015, pH and the amound of dissolved subtances are some aspects that can cause some diseases if they do not meet the set standards. In addition, the volume of water in each package must be in accordance with what is stated on the package. This study aims to determine the quality of bottled water products using the  and  control charts in statistical quality control. The research sample was obtained from CV XYZ in Padang. The research instrument used measurement tools such as measuring glasses, dropper, digital pH meter and TDS meters. The results showed that all variables were not controlled based on the  and  control charts.
Optimasi Jumlah dan Lokasi Tempat Perhentian Bus (TPB) Trans Padang Koridor V dengan Model Set Covering Problem Sari, Engla Diva; Rosha, Media
Journal of Mathematics UNP Vol 8, No 3 (2023): Journal Of Mathematics UNP
Publisher : UNIVERSITAS NEGERI PADANG

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24036/unpjomath.v8i3.14974

Abstract

Trans Padang is a bus managed by the Padang City government since 2014. One of the corridors on the Trans Padang bus is corridor V uses a Bus Stop. However, the existence of TPB Trans Padang corridor V is not optimal. The purpose of this research is to determine the optimal number and location of TPB is to use The Set Covering Problem Model. The data sought is the location where there may be crowds. Then the data is validated using the Cochran Q-Test so that the data becomes a point of request. Next, a set of cover problem will be made and will be solved with the Enumerasi Implicit method. The results of processing using the Enumersi Implicit method obtained that the optimal TPB was 26 TPB, with the addition of TPB locations in 10 locations, is RSU Bunda BMC Padang, Simpang Sawahan, Simpang Lubeg, Erick Minimarket, Pitameh Garden, Budiman Cengkeh, Hoya Cengkeh, MR DIY Banda Buek, Dalas Swalayan, dan MTS AL FATAH.
Model Matematika SEIRS-SEI Penyebaran Penyakit Leptospirosis dengan Pengaruh Curah Hujan Arsiyandi, Ashraff; Rosha, Media
Journal of Mathematics UNP Vol 9, No 2 (2024): Journal Of Mathematics UNP
Publisher : UNIVERSITAS NEGERI PADANG

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24036/unpjomath.v9i2.14609

Abstract

Leptospirosis is an illness spread from animals to humans brought on by Leptospira sp. This illness is widespread and can be found anywhere there is human habitation, although it is notably prevalent in the rainy Southeast Asian countries. The goal of this modelling is to analyse the results of mathematical models of the spread of leptospirosis illness under the effect of rainfall and to understand the implications of those results. This study offers a theoretical analysis of a fundamental problem in epidemiology: the spread of leptospirosis in response to rainfall. This study shows that rainfall has a significant impact on leptospirosis rates. The analysis of fundamental reproductive value demonstrates this effect, showing that an increase in rainfall leads to an epidemic of leptospirosis.
Pemodelan Matematika Penyebaran Penyakit Toksoplasmosis dengan Pengaruh Vektor Risman, Junero; Rosha, Media
Journal of Mathematics UNP Vol 7, No 4 (2022): Journal Of Mathematics UNP
Publisher : UNIVERSITAS NEGERI PADANG

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24036/unpjomath.v7i4.13882

Abstract

Toxoplasmosis is a sickness as a result of the parasite Toxoplasma gondii, which can attack humans and animals, especially cats. The reason for this investigation is to discover the model, the results of model analysis, and an interpretation of the results of a mathematical model analysis of the spread toxoplasmosis by vector effects. The strategies used on this take a look at are descriptive. A mathematical model of the spread toxoplasmosis by vector influence takes the form of a nonlinear system of equations consisting of eight nonlinear equations. Analysis results of a mathematical model with two fixed points, a disease-free fixed point and a diseased fixed point. Each is asymptotically stable, subject to several conditions. The resulting baseline reproductive numbers indicate that the disease is becoming epidemic as the horizontal transmission rate and transmission rate from the latent population to the infected population within the vector increase.