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All Journal Kubik Teorema: Teori dan Riset Matematika M A T H L I N E : Jurnal Matematika dan Pendidikan Matematika Square : Journal of Mathematics and Mathematics Education KUBIK: Jurnal Publikasi Ilmiah Matematika Jambura Journal of Biomathematics (JJBM) Journal of Fundamental Mathematics and Applications (JFMA) ISTEK
Khumaeroh, Mia Siti
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Agriculture, Biological Sciences & Forestry Biochemistry, Genetics & Molecular Biology Chemical Engineering, Chemistry & Bioengineering Computer Science & IT Decision Sciences, Operations Research & Management Economics, Econometrics & Finance Education Electrical & Electronics Engineering Mathematics

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Model Kontrol Pada Ekosistem Perkebunan Teh Diana, Arista Fitri; Romadan, Gilang; Khumaeroh, Mia Siti; Aulia, Lathifatul; Iktiyar, Zakaria Bani
Square : Journal of Mathematics and Mathematics Education Vol. 6 No. 2 (2024)
Publisher : UIN Walisongo Semarang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.21580/square.2024.6.2.23274

Abstract

Tea plants are one of the commodities in Indonesia. In their development, the plantation ecosystem is heavily influenced by several factors, both internal and external factors. In the field of applied mathematics, mathematical modelling can be used to analyze the development of tea plant growth and their interaction each othe in their ecosystem. The mathematical model in this research is combining three main models, there are logistic model, epidemiological model, and predator prey model by adding fungicide and insecticide controls. Furthermore, local stability analysis is carried out and the optimal control problem is solved by Pontryagin maximum principle. The results of the analysis obtained five equilibrium points. Local stability analysis was carried out using the Routh Hurwitz criteria which showed the fifth equilibrium point is locally asymptotically stable. The basic reproduction number in the model is 0,99. Because  it can be concludeed that there is no spread of disease in the tea plantation ecosystem after a period of 5 years. The control provided can reduce pest and disease attacks. After being given control, the population of infected tea plants decreased by 93,21%, Empoasca pests decreased by 99,47%, and leaf roller caterpillars decreased by 99,31% compared to the model that was not given control.Keywords: Tea Plantation, Dynamical Model, Fungicide, Insecticide, Optimal Control.
Panel Data Analysis of Two Level Mixed Linear Models for Factors Affecting The Health Index in West Java Awalluddin, Asep Solih; Khumaeroh, Mia Siti; Amalia, H.; Wahyuni, Inge
KUBIK Vol 9 No 1 (2024): KUBIK: Jurnal Publikasi Ilmiah Matematika
Publisher : Jurusan Matematika, Fakultas Sains dan Teknologi, UIN Sunan Gunung Djati Bandung

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.15575/kubik.v9i1.31369

Abstract

The purpose of this study is to construct a multilevel mixed linear model for panel data by estimating parameters and testing the hypothesis of fit of the model with case studies in determining the prediction of the health index for the marginal and conditional models on the factors that influence the prediction of the health index in West Java for 2016 data. -2021, with time (year) and region (district and city) variables as factors involved in the model. Multilevel mixed linear model is the development of a mixed linear model that can be used to analyze correlated panel data. Parameter estimation uses the Maximum Likelihood (ML) method to estimate fixed effect parameters and Restricted Maximum Likelihood (REML) to estimate covariance parameters. The results obtained by the health index prediction model in West Java, both for the marginal and conditional prediction models and goodness of fit model.
Numerical Simulation of Fluid Flow on An Open Channel with Parabolic Cross-section Erianto, Elvi Syukrina; Aprilia, Nadya Zulfani; Khumaeroh, Mia Siti
ISTEK Vol. 14 No. 2 (2025)
Publisher : Fakultas Sains dan Teknologi UIN Sunan Gunung Djati Bandung

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.15575/istek.v14i2.2447

Abstract

Water is a vital resource whose movement is influenced by various factors such as gravity and frictional force. The cross-sectional shape of a channel can significantly influence the friction force,consequently, affect the flow characteristics. One of the interesting cross-sectional shapes to analyze is parabolic because of its unique geometric properties. This study aims to conduct a numerical simulation of open channel flow within a parabolic cross-section using a modified Shallow Water Equation and the Finite Volume Method implemented with a staggered grid scheme. The mathematical model used takes into account the influence of the parabolic shape through the calculation of Manning's friction, which depends on the hydraulic radius. The Shallow Water Equations, consisting of the continuity and momentum equations, are solved numerically through spatial and temporal discretization. The simulations are perfomed using Scilab to generate visualizations of the water depth and flow velocity distribution under various geometric conditions. This study produces simulations of one-dimensional (1D) and two-dimensional (2D) dam-break flows with a parabolic cross section and compares them with the rectangular cross-section. The simulation results show that the finite volume method with the staggered grid scheme provides stable solutions and is capable of accurately describing the flow behavior across different channel geometries.
Co-Authors Amalia, H. Aprilia, Nadya Zulfani Asep Solih Awalluddin, Asep Solih Aulia, Lathifatul Diana, Arista Fitri Diny Zulkarnaen, Diny Elis Ratna Wulan Erianto, Elvi Syukrina Esih Sukaesih, Esih Fahrudin Muhtarulloh Iktiyar, Zakaria Bani Ilahi, Fadilah Juwita, Rhenata Nela Rizka Nurhakim, Resa Aida Nuwari, Najmudin Romadan, Gilang Shalehah, Mar Atus Shiddiqie, Ichwal Afrizan Wahyuni, Inge