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Journal of Mathematics UNP
Published by Universitas Negeri Padang
ISSN : 23551658     EISSN : 28073460     DOI : http://dx.doi.org/10.24036/unpjomath.v7i3.12564
Core Subject : Science, Education,
Computer Science & IT Decision Sciences, Operations Research & Management Mathematics
Journal of Mathematics UNP is a journal to publish article from student researches in UNP Mathematics study program, and we also kindly accept other article from outside of our study program related to Mathematics: consists of publication in Algebra, Analysis, Combinatoric, Geometry, Differential Equations, Graph and/or Mixed Mathematics Applications: consists of publication in Application of Differential Equations, Mathematics Modelling, Mathematics Physics, Mathematics Biology, Financial Mathematics, Application of Graph and Combinatorics, Optimal Control, Operation Research, and/ or Mixed Statistics: consists of publication on Development and/ or Application of statistics in various aspects.
Arjuna Subject : Matematika - Matematika (Lain-Lain)
Articles 14 Documents
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Search results for , issue "Vol 9, No 2 (2024): Journal Of Mathematics UNP" : 14 Documents clear
Estimasi Parameter Model Suku Bunga Vasicek menggunakan Metode Jackknife pada Bank Indonesia Khairunnisa, Michi; Arnellis, Arnellis
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.v9i2.14215

Abstract

Stochastic interest is exemplified by the Vasicek Interest Rate Model. Interest rates change from time to time. This study is a type of applied research in which the Jackknife Method to gauge the characteristics of the parameters of the Vasicek Interest Rate Model. The Jackknife method of parameter estimation involves resampling, which is done by taking out one observation from the data and repeating the process as often as necessary. The Jackknife technique is used to get estimates from observation with a small sample size. The goal of this study is to understand the Jackknife Method’s estimate findings for the Vasicek Model parameters. The Vasicek Model parameter estimate process involves numerous steps, including establishing the recursive solution, changing the equation into a regression form, then transformation to the matrix and estimation to the parameter using the Jackknife technique. By following the step, it is possible to determine that the Vasicek interest rate model parameters is   0.20424,  0.38909 ,  as well as   0.28083.
Perhitungan Invers Kinematik pada Jalan Robot Humanoid Rahmawati, Annisa; Rizal, Yusmet
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.v9i2.15816

Abstract

Inverse kinematics is a mathematical calculation for robot motion design. With the known value of the desired coordinate point, this calculation determines the angles needed to move each joint on the robot. One of the solutions to the inverse kinematic equation can use the geometric approach method. This method is used to obtain angles on each axis of robot motion so that the end-effector can reach the desired position. In this geometric method approach, the three-dimensional (3D) viewpoint is decomposed into a two-dimensional (2D) viewpoint to facilitate the analysis and calculation process. Humanoid robots have 4 phases to walk, namely Double Support Phase, Pre-swing Phase, Single Support Phase, and Post-Swing Phase. By implementing the inverse kinematic formula into the C++ programming language, the humanoid robot can walk by entering the x, y, and z coordinate values. The x coordinate value regulates the tilt of the robot, the y coordinate value regulates the back and forth movement of the robot's legs, and the z coordinate value regulates the height of the robot's legs.
Model Matematika Rantai Makanan Mangsa-Pemangsa Tiga Spesies dengan Adanya Ketakutan pada Mangsa dan Predator Perantara Arsya, Nadila; Subhan, Muhammad
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.v9i2.15359

Abstract

A three-species prey-predator interaction is an interaction involving three species, namely the prey species, the intermediate predator and the top predator. The presence of predators can cause fear in their prey. This research aims to determine the local stability analysis of the mathematical model of the prey-prey food chain for three species in the presence of fear of intermediate prey and predators. This research is also equipped with numerical simulations that show the effects of fear on prey and intermediate predators. Based on the analysis that has been carried out, four fixed points have been obtained with their respective stability. Numerical simulations from the model show that when there is no fear of intermediate prey and predators, the population of each species shows irregular oscillations, whereas in the presence of fear of intermediate prey and predators the population stabilizes towards a fixed point . However, if the level of fear is too high for prey or intermediate predators, it will cause the population of top predators to become extinct.
Analisis Multidimensional Scaling pada Pemetaan Kabupaten/Kota di Provinsi Sumatera Barat Berdasarkan Fasilitas Kesehatan Marwiyah, Leli; Murni, Dewi
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.v9i2.13638

Abstract

Health facilities are places used for organize health efforts carried out by the government, local government and the community. The existence of health facilities illustrates how the process of fulfilling health needs in an area. According to the West Sumatra provincial health office, access to health services is hampered due to the limited number of health care facilities. This research was conducted using the multidimensional scaling method. This type of research is applied research. Based on the map generated by the MDS analysis, it was found that districts/cities that have similar characteristics of health facilities are Bukittinggi City, Sawahlunto City, Pariaman City, Solok City, Payakumbuh City, Padang Panjang City, Mentawai Islands Regency, Dharmasraya Regency and Sijunjung City: Pasaman Regency, Regency of South Solok and Tanah Datar Regencies. City Districts that need to be considered for the characteristics of health facilities are Agam District and Maternity Homes. District of Fifty Cities to Hospitals, Maternity Hospitals, Special Hospitals. Tanah Datar Regency to the Clinic.
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
Model Matematika Dinamika Sitokin dalam Sistem Respon Inflamasi Akibat Infeksi Penyakit Virus Zoonosis Sari, Novia Komala; Subhan, Muhammad
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.v9i2.13518

Abstract

Diseases that can be scientifically transmitted between animals and humans are zoonotic diseases. In zoonotic diseases, cytokines act as cell signalers in the body that are useful for understanding immunity to disease infections. This study is a basic or theoretical research by conducting a literature review to understand the interaction between inflammatory pro-response cytokines with inflammatory anti-response. In this study, we will discuss a mathematical model consisting of two simple components, namely pro-inflammatory and anti-inflammatory responses. The analysis used is fixed point analysis. The fixed point obtained is the root of the polynomial to the power of 7 so that the exact value of the fixed point cannot be determined. In finding the fixed point of the system of differential equations used Descartes' rule, so that a positive fixed point of 7, 5, 3 or 1 piece is obtained. We supplemented the results with numerical simulations.
Model Matematika Penyakit Busuk Buah Kakao dengan Pengaruh Pengendalian Fungisida Nabati Lengkuas Pangaribuan, Yohanes Mangasitua; winanda, rara sandhy
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.v9i2.15705

Abstract

The cocoa fruit rot disease can be caused by the fungus Phytophthora palmivora. One way to prevent this disease is by using the galangal-based botanical fungicide. This research aims to understand the dynamics of cocoa fruit rot disease spread in a cocoa plant population with the influence of galangal-based botanical fungicide application. In the obtained model, equilibrium points are determined, and local stability analysis is conducted around these equilibrium points. The study also identifies critical points, represented by parameters that play a crucial role in stability changes within the given system. Analytical results are supported by numerical simulations, using parameter values obtained from relevant journals. Based on the analysis, there are two equilibrium points: the disease-free equilibrium point and the endemic equilibrium point. The disease spread analysis is influenced by the parameter value . If , the cocoa population remains free from disease spread, and conversely, if , the disease will spread in the population.
Penerapan Metode Modified Distribution dengan Metode Vogel’s Approximation Sebagai Solusi Awal Pada Optimasi Biaya Transportasi UD Salim Abadi Lampung Cahyanti, Alfiana; Helma, Helma
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.v9i2.12520

Abstract

Transportation problems are common issues faced by companies in the goods delivery process. UD Salim Abadi Lampung is a company engaged in marketing agricultural products. The company operates three central warehouses and seven branch warehouses, with annual transportation costs amounting to Rp. 357,184,000. The purpose of this research is to determine the optimal transportation cost, develop a transportation model, and ascertain the quantity of supplied goods. The method used is the Modified Distribution (MODI) method, with Vogel’s Approximation Method (VAM) as the initial solution. Both methods are part of the transportation method used to solve transportation problems. In this research, using VAM as an initial solution resulted in a cost of Rp. 343,334,786.5, while the MODI method, used for the optimal solution, resulted in a cost of Rp. 327,066,161.4. Therefore, based on the optimal solution, UD Salim Abadi Lampung can save Rp. 30,117,838.60 in annual transportation costs for distributing goods.Keyword : Transportation Cost Optimization, Transportation Method, Vogel’s Approximation Method, Modified Distribution Method
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.
Analisis Kestabilan Model Matematika Dinamika Penyebaran Rumor melalui Media Sosial dan Verbal Fauziah, Helena; Winanda, Rara Sandhy
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.v9i2.15703

Abstract

Rumor, unverified information, propagate swiftly through word of mouth and social media. This research will discuss a mathematical model of the dynamics of rumor spreading through social media and verbal with four compartments, namely I, M, G and R. This is referred to a basic research (theoretical) using descriptive method. The results of this research indicate that the rumor-free equilibrium point is asymptotically stable if it satisfies the conditions, meaning that no rumor spreads in the population; the rumor-endemic equilibrium point through verbal is asymptotically stable if it satisfies the conditions, meaning that rumors spread but only through verbal in the population; and the rumor-endemic equilibrium point through media is asymptotically stable if it satisfies the conditions, meaning that rumors spread but only through media in the population.

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