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Model Matematika Jumlah Perokok yang Dipengaruhi Faktor Migrasi dengan Dinamika Akar Kuadrat pada Kondisi Relapse Tria Agus Krisan; Media Rosha
Journal of Mathematics UNP Vol 5, No 4 (2020): Journal Of Mathematics UNP
Publisher : UNIVERSITAS NEGERI PADANG

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (701.159 KB) | DOI: 10.24036/unpjomath.v5i4.11116

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Abstract—Smoking is a habit that some people likes, but it causes health, economic, social, andenvironmental burdens not only for smokers but also for others. This study describes a mathematical model of the number of smokers which is influenced by the distribution factor of smokers using the dynamics of the square root in the relapse condition. The population was divided into three subpopulations, namely potential smokers, light smokers and heavy smokers. Based on the results of model analysis, it was found that one endemic equilibrium point of smokers was stable. Environmental influences make there always interactions between potential smokers and light smokers so that there are always smokers. The smaller the interaction between potential smokers and light smokers, the smaller the number of light smokers and heavy smokers. Keywords—Mathematical Model, Smoker Population,Asymptotically Stable, Equilibrium Point.
Model Matematika Tendangan Pisang Sepak Pojok pada Olahraga Sepakbola tomy aprinaldi; media rosha
Journal of Mathematics UNP Vol 4, No 3 (2019): Journal Of Mathematics UNP
Publisher : UNIVERSITAS NEGERI PADANG

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (835.485 KB) | DOI: 10.24036/unpjomath.v4i3.7194

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Abstract — Football is the most interest sport by the public. The problem in football is a want to many scores. Scoring on football can be from open play and set play. In this research, the authors chose to conduct a scoring research through the set play from a football corner with a banana kick technique. The purpose of this research are: Forming a mathematical modeling banana kick of corner on football, analyzing the model, and interpreting model analysis results. The banana kick math model of the football corner is a regular differential equation-shaped system. The solution of this model to use a numerical solution with the fourth order Runge-Kutta method. Then, done simulation by using matlab. Simulated results show that, with an initial velocity 29,5 m/s the ball will be goal, but with initial velocity 23 m/s and 35 m/s the ball will not goal.  Keywords — Mathematical Modeling, Banana Kick, Corner Kick.
Optimasi Pendistribusisan Air Menggunakan Improved Zero Point Method (Studi Kasus di PDAM Tirta Kepri) Kurnia Apridita Utami; Media Rosha; Meira Parma Dewi
Journal of Mathematics UNP Vol 4, No 1 (2019): Journal Of Mathematics UNP
Publisher : UNIVERSITAS NEGERI PADANG

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (287.105 KB) | DOI: 10.24036/unpjomath.v4i1.6292

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Abstract – Clean water is a basic necessity for human beings that must be fulfilled. One of business entities enganged in the activities of the fulfillment of the need of clean water is PDAM Tirta Kepri. In its activities, some constraints are found that can increase distribution cost. To minimize the distribution cost at PDAM Tirta Kepri, Improved Zero Point Method is used. This method is a method to optimize transportation problem that can provide optimum solution directly without the aid of modification of other methods. The result of the calculation of the cost of the distribution done by PDAM Tirta Kepri from two springs and four distribution areas is Rp 20.397.467,12. By using the Improved Zero Point Method, the cost obtained is Rp 20.198.416,44,- Therefore, Improved Zero Point Method can optimize the distribution cost problem at PDAM Tirta Kepri  without the aid of modification from other methods on transportation problem table.Keywords – Optimization, IZPM, Distribution of Water.
Model Matematika Penyebaran Virus Komputer dengan Eksistensi Programmer Virus Meri Mulyani; Media Rosha; Riry Sriningsih
Journal of Mathematics UNP Vol 6, No 2 (2021): Journal Of Mathematics UNP
Publisher : UNIVERSITAS NEGERI PADANG

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (166.954 KB) | DOI: 10.24036/unpjomath.v6i2.11570

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Abstract – On the article discussed the mathematical model SIRI (Susceptible, Infected, Recovered, and Infected) to describe the propagation behavior of computer virus under existence virus programmer. Based on the analysis, model has two the equilibrium points that are disease-free equilibrium point and endemic equilibrium point. Existence and stability of the equilibrium point was determined by the basic reproductive number. Disease-free equilibrium point always there and stable if the basic reproductive number is smaller than one, whereas endemic equilibrium point exists and stable only if the basic reproductive number is greater than one. Based on these results and a parameter analysis, the numerical simulation to illustrate the analytic results obtained.Keywords – Mathematical Model, Virus Programmer, Equilibrium Point, Stability, Basic Reproductive Number
Kajian Model Nonlinear Menggunakan Separable Programming dan Algoritma Genetika pada Lavera Konveksi Padang Cory Grahayu; Media Rosha
Journal of Mathematics UNP Vol 5, No 3 (2020): Journal Of Mathematics UNP
Publisher : UNIVERSITAS NEGERI PADANG

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (335.719 KB) | DOI: 10.24036/unpjomath.v5i3.10590

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Abstract— Convection is a line of business in the finished clothing section that producess on a large scale or in massive. In the production process, in general the working of convection are not based on customer orders, but based on a standard size. Lavera convection is one of the famous convection in the city of Padang that has obstacles in controlling orders. The purpose of this study is to determine the shape of nonlinear models from optimization of production costs in Lavera Convection using Separable Programming and Genetic Algorithms. The type of research is applied research with secondary data type. The method of data collection was carried out by researchers to the Lavera Convection in Padang and followed by data collection. Separable Programming Method is a method for transforming nonlinear objective functions into linear objective function. By completing the schedulling model using the Genetic Algorithm, the result is the minimum production cost incrured is Rp. 65.223.468, 43 with 540 long-sleeved shirth, 540 collared shirts, 360 T-shirts, 540 training pants. Keywords—optimization, production, nonlinear programming, separable programming, genetic algorithms 
Model Matematika Penyebaran Penyakit Leptospirosis Pada Populasi Manusia Dan Hewan Delvika Gusdiani; Media Rosha
Journal of Mathematics UNP Vol 5, No 4 (2020): Journal Of Mathematics UNP
Publisher : UNIVERSITAS NEGERI PADANG

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24036/unpjomath.v5i4.11092

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Abstract — Leptospirosis is an infectious disease that can affect humans and animals. This infectious disease is an animal disease that can infect humans. This disease is a public health problem around the world, especially Indonesia which has high rainfall. Individuals most at risk of developing leptospirosis are farmers who work in rice fields, plantation workers, slaughterhouse workers and veterinarians, laboratory workers and veterinarians. The purpose of this study was to form a mathematical model of the spread of leptospirosis in human and animal populations. This research is a basic research using theoretical methods, namely analyzing relevant theories with the problem of the pread of leptospirosis in human and animal populations based on existing literature studies. Based on the analysis results obtained two fixed points, namely a fixed point free from the spread of leptospirosis and an endemic fixed point for the spread of leptospirosis. The stability of this model is stable at both fixed points of leptospirosis in human and animal populations. The high rate of leptospirosis in the population will cause leptospirosis to become epidemic in the population.Keywords — Mathematical Model, Infectious Diseases, Leptospirosis.
Quadrupel Bilangan Bulat (a,b,c,d) yang Memenuhi a^2+b^2+c^2=d^2 Qodriyah Qoyyim; Media Rosha
Journal of Mathematics UNP Vol 5, No 3 (2020): Journal Of Mathematics UNP
Publisher : UNIVERSITAS NEGERI PADANG

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (243.442 KB) | DOI: 10.24036/unpjomath.v5i3.10604

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 Abstract — An integer if it satisfies the Pythagorean theorem is called a “Triple Pythagoras” where there is already a building formula from Euclides to determine integers  and  that .The next problem is how to construct the formula to determine the integers of quadruple  and  that satisfy  This research is a theoretical research based on literature study. The purpose of this research is to determine the formula of integer’s quadruple  and  that satisfy and to determine the form that has been obtained. The formula by the first way is obtained , , ,  with terms  is an odd integer,  not a prime number,  and  are factor from  which is  The formula by the second way is    with terms    and  are member of sets {5, 13, 17, 25, 29, …} also applies to it multiplies. Thus formula by the first way obtained (4,7,4,9), (4,13,16,21), etc. And formula by the second way obtained (3,4,12,13), (9,12,8,17), etc. Keywords — Integer, Pythagorean Triple, Euclides' Formulas, Integer’s Quadruple. 
Faktor – Faktor yang Mempengaruhi Mahasiswa Jurusan Matematika FMIPA UNP Memanfaatkan Jasa Goride Menggunakan Analisis Faktor Rahmatina Rahmatina; Media Rosha
Journal of Mathematics UNP Vol 5, No 4 (2020): Journal Of Mathematics UNP
Publisher : UNIVERSITAS NEGERI PADANG

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (526.316 KB) | DOI: 10.24036/unpjomath.v5i4.11112

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Abstract — Students need transportation to get to campus or other locations. The transportation needed is transportation that is safe, comfortable, and can access the destination in a short time. Traffic access to Padang State University is a heavy traffic lane, so it often experiences congestion. So  transportation that can solve the problem is needed. Many types of transportation services are available in Padang City, but for certain locations it cannot be reached by using one transportation service, resulting in time and cost  nefficiency. Goride is a Gojek service which is a two-wheeled vehicle transportation service, so its use can shorten travel time in the middle of a traffic jam. This type of research is applied research with primary data obtained from distributing online questionnairesconsisting of 36 questions. The number of respondents was 90 students of Mathematics, Faculty of Mathematics and Natural Sciences at the State University of Padang, who had used the services of Goride at least twice. Basedion the results of the studys, two factors were found to influence it. The first factor is built by product, price, promotion, place and time, human, and process variables. The second factor is built by the variables of physical facilities and customer service. Keywords — Factor Analysis, Goride Online Transportations, Decision Factor
Pembentukan Portofolio Optimal Menggunakan Metode Optimasi Multiobjektif pada Saham di Bursa Efek Indonesia Doni Rahmat Septiano; Syafriandi Syafriand; Media Rosha
Journal of Mathematics UNP Vol 4, No 2 (2019): Journal Of Mathematics UNP
Publisher : UNIVERSITAS NEGERI PADANG

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (364.413 KB) | DOI: 10.24036/unpjomath.v4i2.6298

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Abstract –Multi-objective optimization is a method of formation of the portfolio was conducted in a way to maximize the level of expected return and risk of the portfolio at the same time with different weighting coefficients k value that states how much risk was taken. The purpose of this research is to form the optimal portfolio based on the properties of the investor. This research was based on LQ-45 stocks case studies in the period trading from February-July 2015. The optimal portfolio for risk seeker investors is when  with expected return at 0.18674% and the shares was invested only one stocks. At the risk indifference investors, the portfolio was formed when  in which the invested shares were nine stocks. The expected return rate was 0.11463% to 0.17998%. As of risk-averse investors, a portfolio was formed when  with invested stocks were ten stocks with expected return at 0.10837%. Keywords –return, expected return, risk, multi-objective optimization, portfolio
Model Matematika Pengaruh Lingkungan Terhadap Dinamika Jumlah Populasi Pejudi Rozi Wahyudi; Media Rosha; Riry Sriningsih
Journal of Mathematics UNP Vol 6, No 2 (2021): Journal Of Mathematics UNP
Publisher : UNIVERSITAS NEGERI PADANG

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (142.326 KB) | DOI: 10.24036/unpjomath.v6i2.11569

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Abstract – The article discussed mathematical model of the environmental influences to dynamics of gambler population. This research was started with forming mathematical model of the environmental influences to dynamics of gambler population in non-linear differential equations system. Based on analysis model, there are two types of equilibrium point that are free equilibrium point of gambler and endemic equilibrium point. Existence and stability of the equilibrium points are determined by the basic reproduction number. By analyzing the model, obtained the stability of each equilibrium points.Keywords – mathematical model, gambler, equilibrium, stability, basic reproductive number