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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

[SCOPUS ID: 57295009600] Department Of Mathematics, Universitas Negeri Gorontalo

Author-ID : 1406702

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

Published : 13 Documents Claim Missing Document

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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

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 Goodwinâ€˜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) didnâ€™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

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

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

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

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.

Implementasi Model Cox Stratifikasi Interaksi dan Tanpa Interaksi untuk Mengidentifikasi Faktor-Faktor Laju Kesembuhan Pasien TB Paru Modeong, Fakhira; Isa, Dewi Rahmawaty; Djakaria, Ismail; Payu, Muhammad Rezky Friesta; Mahmud, Sri Lestari
Research in the Mathematical and Natural Sciences Vol. 2 No. 2 (2023): May-October 2023
Publisher : Scimadly Publishing

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.55657/rmns.v2i2.130

This study aims to determine the factors that most influence the rate of recovery of pulmonary tuberculosis patients using the Cox Proportional Hazard model. In the case of the cure rate of pulmonary tuberculosis patients, not all independent variables meet the proportional hazard assumption, so the stratified cox regression model is used. The stratified cox regression model used is the stratified cox model with interaction and without interaction involving pulmonary tuberculosis patients in one of the Gorontalo Hospitals. The results showed that the variables of shortness of breath, previous pulmonary tuberculosis patients, and smoking habits were the most significant factors affecting the recovery rate of pulmonary tuberculosis patients.

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

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

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.

DYNAMIC ANALYSIS OF THE MATHEMATICAL MODEL FOR THE CHOLERA DISEASE SPREAD INVOLVING MEDICATION AND ENVIROMENTAL SANITATION Resmawan, R; Yahya, Lailany; Mahmud, Sri Lestari; Nuha, Agusyarif Rezka; Laita, Nazrilla Hasan
BAREKENG: Jurnal Ilmu Matematika dan Terapan Vol 17 No 1 (2023): BAREKENG: Journal of Mathematics and Its Applications
Publisher : PATTIMURA UNIVERSITY

This study aims to analyze the mathematical model of the cholera disease spread involving medicationnd environmental sanitation. The model was analyzed by determining the equilibrium point and the basic reproduction number. The next step was to analyze the equilibrium point, sensitivity, and simulate numerically. Analysis of the stability of the disease-free and endemic equilibrium points usedhe Routh-Hurwitz criteria and the Castillo-Chaves and Song Theorem. The Analysis resultf the model produced two equilibrium points; namely the disease-freequilibrium point for local asymptotic stability and the endemic equilibrium point for local asymptotic stability if . Furthermore, the sensitivity analysis indicated the most sensitive parameters for basic reproductive number changes in succession are the parameters for natural birth rates , the transmission rate of bacteria from the environment to humans , the saturated concentration of bacteria in water , an increase in the bacterial population caused by environmental pollution rate by humans . Numerical simulations suggest an increase to give vaccine can contribute to slowing the transmission of cholera where as the reduction of a vaccine able to promote the transmission of cholera diseases.

Implementation of K-Nearest Neighbor Algorithm on Density-Based Spatial Clustering Application with Noise Method on Stunting Clustering Gani, Friansyah; Panigoro, Hasan S.; Mahmud, Sri Lestari; Rahmi, Emli; Nasib, Salmun K.; Nashar, La Ode
JURNAL DIFERENSIAL Vol 6 No 2 (2024): November 2024
Publisher : Program Studi Matematika, Universitas Nusa Cendana

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.35508/jd.v6i2.16278

This paper studies the implementation of the K-Nearest Neighbor (KNN) algorithm on Density-Based Spatial Clustering Application with Noise (DBSCAN) method on stunting Clustering in the eastern region of Indonesia in 2022. The DBSCAN method is used because it is more efficient to perform the Clustering process for irregular Clustering shapes. The main objective of this study is to apply the KNN algorithm to the DBSCAN Clustering technique in 161 Districts/Cities in 11 provinces in eastern Indonesia. A comparison of the performance evaluation of the DBSCAN Clustering technique is done by considering the value of the Silhouette score, BetaCV score, and Davies-Bouldin score indicating the quality of the Clusters formed with the lowest results scores of 0.67 and 1.84 with epsilon value = 3.4 and minimum point value = 2 resulting in 4 Clusters. The results of Clustering 161 Districts and Cities based on the factors that cause stunting formed 4 Clusters where Cluster 0 consists of 119 Districts and Cities with very high stunting characteristics, Cluster 1 consists of 3 Districts and Cities with high stunting characteristics, the results of Cluster 2 consist of 2 Districts and Cities with low stunting characteristics, then the results of Cluster 2 consist of 2 Districts and Cities with low stunting characteristics and Cluster 3 consists of 2 Cities with very low stunting characteristics.

Co-Authors Abdul Djabar Mohidin Agusyarif Rezka Nuha Ahmad, Rindawati Asriadi Dewi Rahmawaty Isa Djihad Wungguli FAHREZAL ZUBEDI Gani, Friansyah Hasan S. Panigoro Ismail Djakaria La Ode Nashar Lahay, Anatasya Lailany Yahya Laita, Nazrilla Hasan Madonsa, Muhammad Rifai Modeong, Fakhira Ningsih, Setia Novianita Achmad Nursiya Bito Nurwan Nurwan Perry Zakaria Rahmi, Emli Rasyid, Kamelia Resmawan Resmawan Ristina Malango Rusli Mowuu Salmun K. Nasib Siti Zakiyah Sumarno Ismail Taki, Febriani

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