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All Journal Statistika JURNAL PENDIDIKAN TAMBUSAI Pelita Eksakta MATHunesa: Jurnal Ilmiah Matematika Journal of Mathematics UNP

Media Rosha

Unknown Affiliation

Author-ID : 364279

Biochemistry, Genetics & Molecular Biology Chemistry Computer Science & IT Decision Sciences, Operations Research & Management Economics, Econometrics & Finance Industrial & Manufacturing Engineering Mathematics Physics Social Sciences Other

Published : 31 Documents Claim Missing Document

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Model Matematika Kerusakan Sumber Daya Hutan di Indonesia Nur Suci; Arnellis Arnellis; Media Rosha
Journal of Mathematics UNP Vol 2, No 1 (2014): Journal Of Mathematics UNP
Publisher : UNIVERSITAS NEGERI PADANG

Abstract – The Degradation of forestry resources is a serious problem is faced by Indonesian country. The growth of population people and augment industrialization in Indonesia gave a negative effect to forestry resources. Its happen if the utilization continuously without preservation. The purpose of this study is to see the dynamic degradation of forestry resources that can be done by modeling the influence population growth and augment industrialization to forestry resources in the form of a mathematical model. The form of mathematical models equations a non-linear differential equations system. Furthermore Mathematical model that we get be analysised and the result is interprestationed to answer the problem. According the analysis of mathematical model dynamics degradation of forestry resources in Indonesia is gotten by two types of fixed point; fixed point interference free ( ) and fixed point interference ( and ), and then we get obtained the stability of each fixed. Keywords – Degradation of Forestry, Industrialization, Mathematical Models, Population People Stability.

Model Matematika Jumlah Pemakai Narkoba dengan Program Rehabilitasi Eli Yuliza; Media Rosha; Riry Sriningsih
Journal of Mathematics UNP Vol 2, No 1 (2014): Journal Of Mathematics UNP
Publisher : UNIVERSITAS NEGERI PADANG

Abstract–In the number of drug users in Indonesia each year has increased very significantly, so this problem should be addressed immediately.Currently, the government has organized rehabilitation program that is expected to reduce the number of drug users in the future. To predict the number of drug users, can be done by creating a mathematical model of the number of drug users. Mathematical model number of drug users in rehabilitation programs dividing the population into four groups of individuals: the group of susceptible individuals for drug use, drug user groups of individuals, groups of individuals are rehabilitated, and a group of individuals who have stopped using drugs. Mathematical model that formed were analyzed by looking at the stability, the analysis of mathematical models obtained two types of fixed points. In the number of drug users is affected by four parameters: the level of interaction between individuals prone to drug use by individual drug users, the level of individual drug users to be individuals who stop using drugs, and individual level drug offenders to be rehabilitated individuals. Keywords–Drugs, mathematical model, fixed point.

Model Matematika Rantai Makanan Tiga Spesies Yongki Sukma; Media Rosha; Arnellis Arnellis
Journal of Mathematics UNP Vol 2, No 1 (2014): Journal Of Mathematics UNP
Publisher : UNIVERSITAS NEGERI PADANG

Abstract –– Predation interaction between two species have been described in Lotka-Volterra mathematical model. But in an ecosystem, predation interaction involving more than two species. In this study will be discussed predation interaction involving three species in a food chain. Obtained mathematical model will be analyzed by finding the stability of fixed point, the stability of fixed point will be analyzed with Routh-Hurwitz criterion. The model consists of three differential equations representing each species. The model has four fixed points, the fourth fixed point is stable, the first fixed point is not stable but the third and second fixed point are stable with certain conditions. The result of analisys show that three populations does not become extinct if product of species I growth rate with spesies III growth rate is greater than product of species I death rate with species III death rate. Keywords –– Food Chain, Fixed Point, Routh-Hurwitz

Model Matematika Penyebaran Penyakit Infeksi Saluran Pernapasan Akut (ISPA) Berdasarkan Lokasi Anatomi Akibat Bakteri Streptococcus Pneumoniae Diana Leris; Media Rosha
Journal of Mathematics UNP Vol 8, No 2 (2023): Journal Of Mathematics UNP
Publisher : UNIVERSITAS NEGERI PADANG

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24036/unpjomath.v8i2.14330

Streptococcus pneumoniae is a bacterium that attacks the human respiratory tract. Streptococcus pneumoniae bacteria cause respiratory diseases in the form of pneumonia, otitis media, sinusitis, sepsis, peritonitis, and abscesses. The purpose of this study was to establish, analyze, and interpret the mathematical model of the spread of Acute Respiratory Infections (ARI) based on the anatomical location of the Streptococcus pneumoniae bacteria. In the mathematical population formation model, the human population is divided into six population groups: susceptible, exposes, sinusitis infections, otitis media infections, pneumonia infections, and recovered. An analysis of the stability of the system around the equilibrium point produces two points, namely, disease-free points, which will be asymptotically stable if βπ<μ(μ+ε+ρ). While the endemic point of the desease will be asymptotically stable if βπ-μ(μ+ε+ρ>0.

Analisis Faktor Pada Faktor-Faktor Yang Mempengaruhi Stres Guru SD Selama Sistem Pembelajaran Daring Era Covid-19 (Studi Kasus di SD Kecamatan Padang Timur) Fadilah, Dinda; 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.v7i4.13990

Stress is one of the effects that arise due to the covid-19 pandemic, one of which is experienced by teachers at the elementary school level. This can happen because at the elementary school level, if it is seen from students who are only 7-12 years old, who are still ordinary in terms of using technology, elementary school teachers feel more difficult to carry out online learning process. The purpose of this study is to find out what factors significantly affect the stress of elementary school teachers in the subdistrict of Padang Timur during the online learning system in the covid-19 era. This type of study was an applied study with the spread of the questionnaire among 88 respondents selected using the random sampling cluster method. The results of the study were obtained by seven factors that influenced the stress of elementary school teachers in the subdistrict of Padang Timur during the covid-19 online learning system including educational factors, learning implementation factors, teacher's information technology skills factors, learning process and assessment factors, family factors, the low motivation for students' learning and media factors for online learning.

Optimasi Lampu Lalu Lintas Simpang Tabuik Kota Pariaman Menggunakan Graf Fuzzy Berbasis FIS Tipe Mamdani Cahyani, Alda Wahyu Regita; 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.v8i3.15001

Poor traffic light regulation is one of the causes of congestion. One of the factors contributing to congestion is inadequate traffic light control, especially at the Tabuik Kota Pariaman intersection. Fuzzy graph is a part of mathematical science that combines graph theory with fuzzy logic. Fuzzy graphs can be used as a method to solve congestion problems related to traffic light durations. This research aims to determine the duration of green light based on queue length. The data collected includes primary data on traffic duration, road width, and the number of vehicles passing through each leg of the intersection. The research results show that by using a fuzzy graph based on the Mamdani fuzzy inference system, the overall average at the Tabuik intersection, the total duration of green light obtained is 80 seconds, which is a decrease of 8.75% from the initial condition, while the total duration of red light obtained is 404 seconds, which is an increase of 1.76% from the initial condition.

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

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

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

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

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

Co-Authors Ade Silvia, Ade Aisyah Ali Asmar Annisa Altas Arnellis Arnellis Arsiyandi, Ashraff Astuti, Shindy Widya Azhura, Kirana Cahyani, Alda Wahyu Regita Defri Ahmad Diana Leris Diantami, Melati Dramutia, Alfika Eli Yuliza Elita Zusti Jamaan Fadilah, Dinda Mailizar Mailizar Maulani, Fiqrah Nonong Amalita Nur Suci Oktavia, Nanda Putra, Kevin Pramana Putri, Anisa Dianda Rahma Dhiyatri, Suci raudatul jannah Riry Sriningsih Risman, Junero Saddam Al Aziz Saputra, Yogi Trio Sari, Engla Diva Syafriandi Syafriandi Tri Hafsari, Trisa Wulandari, Azizah Yongki Sukma Zulfia, Zulfia

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