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All Journal CAUCHY: Jurnal Matematika Murni dan Aplikasi JURNAL ILMIAH MATEMATIKA DAN TERAPAN BAREKENG: Jurnal Ilmu Matematika dan Terapan Jambura Journal of Mathematics Jambura Journal of Biomathematics (JJBM) JAMBURA JOURNAL OF PROBABILITY AND STATISTICS Jurnal Diferensial Euler : Jurnal Ilmiah Matematika, Sains dan Teknologi Research in the Mathematical and Natural Sciences
Mahmud, Sri Lestari
Universitas Negeri Gorontalo
Computer Science & IT Control & Systems Engineering Decision Sciences, Operations Research & Management Economics, Econometrics & Finance Education Energy Engineering Environmental Science Mathematics Mechanical Engineering Physics Public Health Social Sciences Transportation

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Goodwin Model with Clustering Workers' Skills in Indonesian Economic Cycle Mahmud, Sri Lestari; Resmawan, Resmawan; Ismail, Sumarno; Nurwan, Nurwan; Taki, Febriani
CAUCHY Vol 7, No 2 (2022): CAUCHY: Jurnal Matematika Murni dan Aplikasi (May 2022) (Issue in Progress)
Publisher : Mathematics Department, Maulana Malik Ibrahim State Islamic University of Malang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.18860/ca.v7i2.13458

Abstract

The economic model which deals with the economic cycle is Goodwin's Model. It presents the relationship between the employment rate and wage shares. In this study, the modification model was made, taking into three types of workers, namely high, medium, and low-skilled workers. Studies of the model are conducted by determining the equilibrium point and its stability analysis. Furthermore, a numerical simulation is given to see which model satisfies the ideal of Goodwin‘s model cycle prediction by using Indonesian data from 2000 to 2020. In the end, an investigation into the effects of reducing the wage gap between the three types of workers was conducted. The results showed two equilibrium points, namely The Equilibrium Point without Employment Rate and The Wages Share (T1) and the Existence Equilibrium Point of Employment Rate and Wages Share (T2). T1 achieves a stable node condition when ScQd+pi+et while T2 reaches a stable center condition when ScQd+pi+et. The simulation showed Goodwin's model of high- and low-skilled workers produced the ideal of Goodwin model cycle predictions, whereas Goodwin's model of medium-skilled workers and the entire economy (capitalist) didn’t produce the ideal of Goodwin model cycle predictions. Eventually, the effects of reducing the wage gap make the economy unstable.
Penentuan Harga Beli Opsi Asia Menggunakan Monte Carlo-Antithetic Variate dan Monte Carlo-Control Fahrezal Zubedi; Novianita Achmad; Sri Lestari Mahmud; Rusli Mowuu
Euler : Jurnal Ilmiah Matematika, Sains dan Teknologi EULER: Volume 10 Issue 1 June 2022
Publisher : Universitas Negeri Gorontalo

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.34312/euler.v10i1.12055

Abstract

Math is applicable in many fields, including financial computing and discussing options. Options are contracts between two parties. The first part acts as a buyer with non-obligatory rights to buy or sell from the second party, who act as the seller with particular assets of predetermined time and price. This research aims to compare the monte Carlo-Antithetic Variate and monte Carlo-Control Variate in determining the purchase price of the Asian option. This study uses data from the closing price of the daily stock of PT Adhi Karya Tbk from October 1st, 2018 – to November 27th, 2019. The findings revealed varying option prices and different error standards. The Antithetic Variate simulation produces option price Rp. 246,6821 and error standard 0,071495 in 10000000th simulation and the Control Variate simulation produce option price Rp. 183,2139 and error standard 0,09716 in the 5000th simulation.  The result was that the Control Variate was considered better at determining Asian option purchase price because of the smaller option and faster error standard in approaching zero.
PENGARUH MODEL PENEMUAN TERBIMBING TERHADAP HASIL BELAJAR PADA MATERI PRISMA DAN LIMAS DI SMP NEGERI I TALAGA JAYA Sri Lestari Mahmud; Abdul Djabar Mohidin; Nursiya Bito; Siti Zakiyah
Euler : Jurnal Ilmiah Matematika, Sains dan Teknologi EULER: Volume 9 Issue 2 December 2021
Publisher : Universitas Negeri Gorontalo

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.34312/euler.v9i2.11941

Abstract

This research aims to look at the influence of guided discovery learning models on students' learning outcomes. The type of research used is experimental research. Sampling in this research was conducted by simple random sampling technique. Data collection was carried out using instruments in the form of observation sheets and tests of learning outcomes. The data obtained is then analyzed descriptively and inferentially. The results of the data analysis showed that the students’ learning outcomes taught by the guided discovery model are higher than students’ learning outcomes taught by conventional models, and the guided discovery model was effective in teaching material surface area and volume of upright and pyramid prisms.
The Influence of Additive Allee Effect and Periodic Harvesting to the Dynamics of Leslie-Gower Predator-Prey Model Hasan S. Panigoro; Emli Rahmi; Novianita Achmad; Sri Lestari Mahmud
Jambura Journal of Mathematics Vol 2, No 2: Juli 2020
Publisher : Department of Mathematics, Universitas Negeri Gorontalo

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (504.111 KB) | DOI: 10.34312/jjom.v2i2.4566

Abstract

In this paper, the influence of additive Allee effect in prey and periodic harvesting in predator to the dynamics of the Leslie-Gower predator-prey model is proposed. We first simplify the model to the non-dimensional system by scaling the variable and transform the model into an autonomous system. If the effect Allee is weak, we have at most two equilibrium points, else if the Allee effect is strong, at most four equilibrium points may exist. Furthermore, the behavior of the system around equilibrium points is investigated. In the end, we give numerical simulations to support theoretical results.
Revitalisasi Danau Limboto dengan Pengerukan Endapan di Danau: Pemodelan, Analisis, dan Simulasinya Sri Lestari Mahmud; Novianita Achmad; Hasan S. Panigoro
Jambura Journal of Biomathematics (JJBM) Volume 1, Issue 1: June 2020
Publisher : Department of Mathematics, State University of Gorontalo

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.34312/jjbm.v1i1.6945

Abstract

Limboto lake is one of assets of Province of Gorontalo that provides many benefits to the surrounding society. The main problem of Limboto lake is the silting of the lake due to sedimentation caused by forest erosion, household waste, water hyacinth, and fish farming which is not environmentally friendly. In this article, a mathematical approach is used to modeling the Limboto lake siltation by including the revitalization solution namely the lake dredging. Mathematical modeling begins by building and limiting assumptions, constructing variables and parameters in mathematical symbols, and forming them into a first order differential equation system deterministically. Furthermore, we study the dynamics of the model such as identifying the existence of equilibrium points and their stability conditions. We also give a numerical simulations to show the conditions based on the stability requirements in previous analytical results.
Analisis Sensitivitas dalam Optimasi Keuntungan Produksi Kue Ulang Tahun dengan Metode Branch and Bound Monalisa Ismail; Novianita Achmad; Sri Lestari Mahmud
Euler : Jurnal Ilmiah Matematika, Sains dan Teknologi EULER: Volume 10 Issue 2 December 2022
Publisher : Universitas Negeri Gorontalo

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.34312/euler.v10i2.15307

Abstract

The increasingly rapid development of the business world requires companies engaged in industry, trade, and services to continue to optimize their business activities to win the market competition. Mikaila Bakery is one of the businesses producing birthday cakes in Gorontalo Province. In the birthday cake business at Mikaila Bakery, so far, the amount of production is only determined by estimates, so profits do not reach optimal profits. This study aimed to determine the optimal profit obtained in the production of birthday cakes at Mikaila bakery using the branch and bound method and to determine the results of sensitivity analysis to changes in the objective function coefficients and constraint functions in the branch and bound method. The analysis results show that using the branch and bound method, Mikaila Bakery's cake shop gets an optimal profit of Rp. 38,433,000 per month or an increase of Rp. 3.4% of the previous profit. The results of the sensitivity analysis show that profits will remain in optimal conditions if the birthday cake business at Mikaila Bakery follows the changes that occur in the coefficient of the objective function and the constraint function based on the upper bound and lower bound according to the output. Which has been generated using POM-QM software.
Analisis Dinamik pada Model Matematika SVEIBR dengan Kontrol Optimal Untuk Pengendalian Penyebaran Penyakit Kolera Agusyarif Rezka Nuha; Resmawan Resmawan; Sri Lestari Mahmud; Asriadi Asriadi; Andi Agung; Sri Istiyarti Uswatun Chasanah
Euler : Jurnal Ilmiah Matematika, Sains dan Teknologi EULER: Volume 11 Issue 1 June 2023
Publisher : Universitas Negeri Gorontalo

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.34312/euler.v11i1.20611

Abstract

Cholera is an infectious disease that attacks the human digestive system and can cause death. This article discusses the research results related to the mathematical model of the spread of cholera in the form of an optimal control system by combining three control strategies: vaccination, quarantine, and environmental sanitation. Pontryagin's maximum principle is applied to obtain optimal conditions based on the control strategy applied. Referring to the optimal conditions set, the model was solved numerically using the Runge-Kutta Order 4 method to describe the theoretical results. The calculation results show that applying the three control strategies in controlling the spread of cholera positively impacts reducing the number of cases of infection so that disease transmission can be discontinued.
Algoritma Dijkstra dan Algoritma Greedy Untuk Optimasi Rute Pengiriman Barang Pada Kantor Pos Gorontalo Novria Fatmawati Lakutu; Sri Lestari Mahmud; Muhammad Rifai Katili; Nisky Imansyah Yahya
Euler : Jurnal Ilmiah Matematika, Sains dan Teknologi EULER: Volume 11 Issue 1 June 2023
Publisher : Universitas Negeri Gorontalo

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.34312/euler.v11i1.18244

Abstract

Delivery of goods is one of the services used in the online buying and selling process at the Post Office company. Companies need a performance in the distribution of goods that is more time-consuming and cost-efficient, so it requires determination in selecting the shortest path. Many algorithms have been used to help find the shortest path for distributing goods, including the Dijkstra Algorithm and the Greedy Algorithm. In this study, the application of the two algorithms is to find routes between sub-districts that are the destination of goods delivery, then compare to see which algorithm is more optimal. Based on the calculation results, the Dijkstra Algorithm can provide a more optimal solution with a total mileage obtained of 304.90 Km, while the Greedy Algorithm produces a total distance of 441.60 Km.
Sistem Dinamik Penyebaran Coronavirus Disease Dengan Mempertimbangkan Vaksinasi Rasyid, Kamelia; Achmad, Novianita; Nuha, Agusyarif Rezka; Resmawan, Resmawan; Mahmud, Sri Lestari; Nashar, La Ode; Asriadi
JURNAL ILMIAH MATEMATIKA DAN TERAPAN Vol. 20 No. 2 (2023)
Publisher : Program Studi Matematika, Universitas Tadulako

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22487/2540766X.2023.v20.i2.16326

Abstract

Coronavirus Disease (COVID-19) adalah jenis penyakit menular yang disebabkan oleh coronavirus jenis baru yang ditemukan pada tahun 2019 yang selanjutnya disebut Sars-Cov 2 (severe acute respiratory syndrome coronavirus 2). Tujuan penelitian ini adalah membangun model matematika, penentuan titik tetap, mencari analisis kestabilan titik tetap, menentukan nilai bilangan reproduksi dasar membuat simulasi model, dan interpretasi biologis. Hasil analisis terhadap dua titik tetap diperoleh titik kesetimbangan bebas penyakit akan stabil asimtotik apabila R0 < 1, sedangkan titik kesetimbangan endemik akan stabil asimtotik apabila R0 > 1. Selanjutnya, untuk mengilustrasikan dinamika penyebaran penyakit dilakukan simulasi numerik yang memberikan interpretasi bahwa peningkatan pemberian vaksin adalah cara yang bisa dilakukan untuk mengurangi penyebaran penyakit COVID-19.
ANALISIS DINAMIK MODEL PENDANGKALAN DANAU LIMBOTO DENGAN PEMBERSIHAN ECENG GONDOK DAN PENGERUKAN ENDAPAN Mahmud, Sri Lestari; Achmad, Novianita
BAREKENG: Jurnal Ilmu Matematika dan Terapan Vol 14 No 4 (2020): BAREKENG: Jurnal Ilmu Matematika dan Terapan
Publisher : PATTIMURA UNIVERSITY

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (994.569 KB) | DOI: 10.30598/barekengvol14iss4pp597-608

Abstract

This article discusses about mathematical model of Limboto lake silting with water hyacinth cleaning solution. Modelling begins with constructing a model based on the factors that affect silting which is then formed into a system of first order differential equations. Furthermore, the model is analyzed by looking for equilibrium and stability. To see the condition of lake silting based on the stability condition, a numerical simulation was performed. The simulation results show that with water hyacinth cleaning, the lake will maintain its existence, which is indicated by an increase the Limboto lake volume, although there is still a decrease in volume due to the presence of sediment and nutrients from the river.
Co-Authors Abdul Djabar Mohidin Agusyarif Rezka Nuha Ahmad, Rindawati Andi Agung Asriadi Asriadi Dewi Rahmawaty Isa Djihad Wungguli FAHREZAL ZUBEDI Fakhira Modeong Gani, Friansyah Hasan S. Panigoro Ismail Djakaria La Ode Nashar Lahay, Anatasya Lailany Yahya Laita, Nazrilla Hasan Madonsa, Muhammad Rifai Monalisa Ismail Ningsih, Setia NISKY IMANSYAH YAHYA Novianita Achmad Novria Fatmawati Lakutu Nursiya Bito Nurwan Nurwan Perry Zakaria Rahmi, Emli Rasyid, Kamelia Resmawan Resmawan Ristina Malango Rusli Mowuu Salmun K. Nasib Siti Zakiyah Sri Istiyarti Uswatun Chasanah Sumarno Ismail Taki, Febriani