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DYNAMIC ANALYSIS OF THE MATHEMATICAL MODEL OF THE SPREAD OF CHOLERA WITH VACCINATION STRATEGIES Abdul, Nur Safitri; Yahya, Lailany; Resmawan, R.; Nuha, Agusyarif Rezka
BAREKENG: Jurnal Ilmu Matematika dan Terapan Vol 16 No 1 (2022): BAREKENG: Jurnal Ilmu Matematika dan Terapan
Publisher : PATTIMURA UNIVERSITY

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (982.889 KB) | DOI: 10.30598/barekengvol16iss1pp279-290

Abstract

This research discusses the math model of spreading cholera disease with a mathematical strategy of math model constructed by considering a vaccination strategy. In addition, there is a population of hyperinfectious and lessinfectious bacteria so that the model of SVIR-BhiBli type, by. The model formed in the form of determination of fixed point, determination of basic reproductions numbers, analyzing the equilibrium point and sensitivity analysis. The equilibrium analysis produces two equilibrium points of a immediate-free equilibrium point of aceletotic local if and endemic equilibrium points will be stable local asymptotics if . Furthermore, numerical simulation that the increase in vaccination rate influences on the decline in value while increased rate of vaccine depreciation can increase the value of . In addition, sensitivity analysis shows that if the parameter is enhanced while other contrast parameters will contribute to the increase in value, as a result can increase the rate of transmission of cholera disease. Whereas if the parameter is enhanced while other contrast parameters will contribute to the decrease in value, as a result of the dissemination of the disease can be pressed very significantly.
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

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (656.125 KB) | DOI: 10.30598/barekengvol17iss1pp0341-0360

Abstract

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.
COMPARING GAUSSIAN KERNEL AND QUADRATIC SPLINE OF NONPARAMETRIC REGRESSION IN MODELING INFECTIOUS DISEASES Adityaningrum, Amanda; Ladjali, Sri Indriani; Djakaria, Ismail; Yahya, Lailany; Payu, Muhammad Rezky Friesta; Nashar, La Ode; Jusuf, Herlina
BAREKENG: Jurnal Ilmu Matematika dan Terapan Vol 17 No 4 (2023): BAREKENG: Journal of Mathematics and Its Applications
Publisher : PATTIMURA UNIVERSITY

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30598/barekengvol17iss4pp2135-2146

Abstract

The regression curve for nonparametric regression is assumed to belong to some infinite-dimensional collection of functions, which allows great flexibility in the form of the curve. This research intends to compare the Gaussian Kernel and Quadratic Spline regressions in four infectious diseases in Indonesia by 2021. The data used is secondary data from the Central Bureau of Statistics and the Ministry of Health, Indonesia, and the sample consists of four infectious diseases in Indonesia by 2021 (Tuberculosis, Diarrhoeal, Pneumonia, and COVID-19). Considering the correlation value, it was found that the independent and dependent variables of the four infectious diseases are all highly correlated (r values are more than 0.7). Furthermore, the scatter plots for four infectious diseases do not follow a particular pattern; due to this, parametric regression cannot be used to analyze the data. Therefore, nonparametric regression was applied in this research . According to the analysis, the Gaussian Kernel is the best regression technique for modeling four infectious diseases in Indonesia by 2021, which its R2 values are 99.85% (Tuberculosis), 100% (Diarrhoeal), 99.91% (Pneumonia), and 99.99% (COVID-19).
The Development of Statistics E-Modul Using Flipbook on Junior High School Anisa, Lia Nur; Yahya, Lailany; Kobandaha, Putri Ekawaty
(JIML) JOURNAL OF INNOVATIVE MATHEMATICS LEARNING Vol. 8 No. 3 (2025): VOLUME 8 NUMBER 3, SEPTEMBER 2025
Publisher : IKIP Siliwangi

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22460/jiml.v8i3.28493

Abstract

Conventional learning methods tend to be monotonous, often making junior high school students less interested and difficult to understand the material, especially in statistics. Therefore, it is necessary to develop more interactive and interesting teaching materials to increase students' interest in learning and understanding. This research aims to develop of statistics e-modul valid and practical teaching using the flipbook on junior high school. This study is classified as Research & Development using Thiagarajan's 4D model. The 4D stages of Thiagarajan include Define, Design, Develop, and Disseminate. The data collected using the instruments employed in this study include a validation questionnaire consisting of subject matter experts and media experts, a readability test questionnaire, and student response questionnaires, as well as teacher response questionnaires used to measure the practicality of the developed e-module. The results of the the development of e-modul using the flipbook application falls under the criteria of validity and practicality. The level of validity can be seen from the validity scores of 74% for content validation and 78% for media validation, which fall within the valid category, as well as practicality scores were obtained from the student response questionnaire with a score of 85% and the teacher response questionnaire with a score of 98%. It can be concluded that the development of e-modules using the flipbook application for statistics material for eighth grade, as produced by this research, is valid and practical, and therefore considered suitable for use in learning.
Mendirikan Ekosistem Pangan Desa: Sinergi BUMDesa, Pemetaan Potensi, dan Platform Digital Katili, Muhammad Rifai; Yahya, Lailany; Tuloli, Mohamad Syafri; Amali, Lanto Ningrayati
Jurnal Sibermas (Sinergi Pemberdayaan Masyarakat) Vol 14, No 3 (2025): Jurnal Sibermas (Sinergi Bersama Masyarakat)
Publisher : Universitas Negeri Gorontalo

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.37905/sibermas.v14i3.34579

Abstract

This community service program aimed to strengthen the role of Village-Owned Enterprises (BUMDesa) in enhancing food security based on local potential in Panggulo Village, Botupingge District, Bone Bolango Regency. Key challenges included the inactive status of BUMDesa, limited public awareness of food security, lack of local potential mapping, and the absence of digital platforms for product promotion. The program was implemented through a participatory, asset-based approach in five stages: problem identification, potential mapping, training, digitalization, and mentoring. Results showed significant improvements in BUMDesa management capacity, the development of two flagship local food products, the launch of a village website, and increased community awareness. The program demonstrated that integrating institutional strengthening, community empowerment, and digitalization is an effective strategy for developing sustainable village-level food security systems.
IMPLEMENTASI MEDIA GAMBAR BERBASIS POWERPOINT UNTUK MENINGKATKAN KEMAMPUAN PEMECAHAN MASALAH MATEMATIS DI SMP NEGERI 1 TILONGKABILA Gusasi, Dewita; Zakaria, Perry; Yahya, Lailany
MES: Journal of Mathematics Education and Science Vol 11, No 1 (2025): Edisi Oktober
Publisher : Universitas Islam Sumatera Utara

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30743/mes.v11i1.12160

Abstract

This study aims to implement PowerPoint-based image media to improve students' mathematical problem-solving skills. The subjects of this study were 30 students in class VII-2 of SMP Negeri 1 Tilongkabila, consisting of 12 boys and 18 girls. The research instrument was the results of the students' scores on a mathematical problem-solving test on data and diagrams. The data analysis techniques in this study were teacher observation, student observation, and mathematical problem-solving ability tests. This study used the action research method, with research procedures including planning, action, observation, and reflection. The research consisted of two cycles. The results of the research in cycle I showed that the results of observations of teacher activities only reached 66.67%, and student activities 58.33% with good criteria, and the level of students' mathematical problem-solving skills that were complete was only 14 students or 46.67%, while there were 16 students or 58.33% who were not yet complete. Because the success indicator of at least 80% was not achieved, the research continued to cycle II. In cycle II, the results of observations of teacher activities were 94.45% and student activities were 88.89% with good and very good criteria, and the level of students' mathematical problem-solving skills was 26 students or 86.67%. It is concluded that the implementation of PowerPoint-based image media can improve students' mathematical problem-solving skills.
Implementasi Algoritma Random Forest dengan Forward Selection untuk Klasifikasi Indeks Pembangunan Manusia Posangi, Tiara; Yahya, Lailany; Wungguli, Djihad
Jambura Journal of Probability and Statistics Vol 4, No 2 (2023): Jambura Journal Of Probability and Statistics
Publisher : Department of Mathematics, Universitas Negeri Gorontalo

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.37905/jjps.v4i2.18460

Abstract

Development is essentially a process of continuous change carried out to achieve better living condition. So that the benchmark for the success of a development is seen in its human development. 3 The basic dimensions that form human development are long and healthy life, knowledge, and a decent life. The indicators that represent the three dimensions are summarized in a single value, namely the Human Development Index (IPM). In 2021 the HDI figure in Indonesia is 72.29, which means it is high. However, due to the diverse geographical location of regions in Indonesia, this also influences the HDI rate in each region in Indonesia, so this study uses the Random Forest Algorithm to obtain accurate results from the HDI classification and uses Forward Selection to determine features that influence the classification. The results of the study show that the features that influence the classification are per capita spending, expected length of schooling, life expectancy, and average length of schooling, and get a final accuracy of 80%.
Analisis Dinamik Model Penyebaran COVID-19 dengan Vaksinasi Resmawan, Resmawan; Yahya, Lailany; Pakaya, Revandi S.; Panigoro, Hasan S.; Nuha, Agusyarif Rezka
Jambura Journal of Biomathematics (JJBM) Volume 3, Issue 1: June 2022
Publisher : Department of Mathematics, Universitas Negeri Gorontalo

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.34312/jjbm.v3i1.13176

Abstract

Coronavirus Disease 2019 (COVID-19) is a new type of virus from a large family of viruses transmitted between humans and animals (zoonotically transmitted) that was first discovered in Wuhan City, Hubei Province, China in late 2019 which is still widespread and threat throughout the world including Indonesia. This article discussed about the mathematical model of the spread of COVID-19 with vaccinations. In this case, the human population is divided into 5 classes, namely the suspected, vaccine, exposed, infected and recovered classes. The constructed model forms an SVEIR model that has two equilibrium points, namely disease-free and endemic equilibrium points. Stability analysis shows that the equilibrium point is stable local and global asymptotic if R0 1 and unstable if R0 1. Then a sensitivity analysis was carried out to determine the parameters that greatly affect the model as well as furthermore, numerical simulations are given to describe the behavior of the model that has been obtained based on the analysis of the sensitivity of basic reproductive numbers, obtained several parameters that affect the spread of COVID-19. Numerical simulation results show that vaccination can suppress the addition of infected populations and depend on the level of effectiveness of vaccination.
Analisis dinamik model predator-prey tipe Gause dengan wabah penyakit pada prey Ibrahim, Rusdianto; Yahya, Lailany; Rahmi, Emli; Resmawan, Resmawan
Jambura Journal of Biomathematics (JJBM) Volume 2, Issue 1: June 2021
Publisher : Department of Mathematics, Universitas Negeri Gorontalo

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.34312/jjbm.v2i1.10363

Abstract

This article studies the dynamics of a Gause-type predator-prey model with infectious disease in the prey. The constructed model is a deterministic model which assumes the prey is divided into two compartments i.e. susceptible prey and infected prey, and both of them are hunted by predator bilinearly. It is investigated that there exist five biological equilibrium points such as all population extinction point, infected prey and predator extinction point, infected prey extinction point, predator extinction point, and co-existence point. We find that all population extinction point always unstable while others are conditionally locally asymptotically stable. Numerical simulations, as well as the phase portraits, are given to support the analytical results.
Application of the Monte Carlo Method to Pricing Lookback Fixed Option with Stochastic Volatility Hidayanti, Sri Amalia; Rahmi, Emli; Yahya, Lailany
Indonesian Journal of Computational and Applied Mathematics Vol. 1 No. 1: February 2025
Publisher : Gammarise Publishing

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.64182/indocam.v1i1.6

Abstract

Options are a derivative product that trades the right to call and put on an asset at a certain price and during an agreed time. Determining the optimal option price is often difficult due to changes in stock prices. One model that can be used to calculate the price of Lookback Fixed options is the Monte Carlo Method with stochastic volatility of the Heston model, with parameter estimation using Ordinary Least Squares (OLS), and Euer-Maruyama and calculation of the effect of initial stock price, strike, and maturity time. The estimated stock price is then used to calculate the Lookback Fixed option price using the Monte Carlo method. The research results obtained good results with a fairly small error rate. In addition, the analysis of the effect of strike price, strike, and maturity time shows results consistent with option pricing theory.
Co-Authors Abdul, Nur Safitri Agusyarif Rezka Nuha Akolo, Ingka Rizkiyani Aliwu, Randa Resvitasari Alvitha Habibie Anisa, Lia Nur Anissa Dwi Wijayanti Armayani Arsal Barham, Siti Maryam Bertu Rianto Takaendengan Cindy Aisa Putri Noor D Une, Putri Mutia Dewi Rahmawaty Isa Djihad Wungguli FAHREZAL ZUBEDI Franky Alfrits Oroh Gusasi, Dewita Harun, Artika Rahayu Hasan S. Panigoro Hendro Budi Santoso Herlina Jusuf Hidayanti, Sri Amalia Ibrahim, Rusdianto Ifan Wiranto Indrawati Lihawa Ingka Rizkiyani Akolo Ismail Djakaria Ismail, Minton Isran K Hasan Jusuf, Anryan Karina Anselia Mamonto Kartin Usman Kasim, Miranti H. Kasim, Rahmat Rajib Kaune, Nurlaila Kiayi, Fuji Fauzia Kobandaha, Putri Ekawaty La Ode Nashar Ladjali, Sri Indriani Laita, Nazrilla Hasan Lanto Ningrayati Amali Mahading, Tria Susilowati Mahmud, Sri Lestari Majid Masra Latjompoh Melasarah Deswita Rahmadi Moh Dody Afandi Rauf Mohamad, Regina mohammad syafri tuloli Muftih Alwi Aliu Nancy Katili Naue, Siti Nurmeylisya Nikmatisni Arsad NISKY IMANSYAH YAHYA Novianita Achmad Nurdin, Sri Ayu Nurhayati Abbas Nursiya Bito Nurwan Nurwan Nurwan, Nurwan Olii, Isran R. Pakaya, Revandi S. Perry Zakaria Posangi, Tiara Prasetyo Usman Putri Ayuningtias Mahdang Rahman, Yulinar Rahmi, Emli Ramadiana, Anastasya Randi Mooduto Rasmawati Rasmawati Rauf, Moh Dody Afandi Resmawan Resmawan Salmun K. Nasib Sari, Lia Nanda Sari, Septi Rahmita Sembiring, Rinawati Siti Nurmardia Abdussamad Sitria Jemin Sri Maryam Mohungo Sri Meylanti S. Ali Sumarno Ismail Syamsu Qomar Badu Tedy Machmud Tiarawati, Ni Wayan Tria Susilowati Mahading Utina, Fitriani Windharta Oei, Smily Yusuf, Putria Zulmagfir Buako