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All Journal Kubik Desimal: Jurnal Matematika Square : Journal of Mathematics and Mathematics Education Journal of Intelligent Computing and Health Informatics (JICHI) KUBIK: Jurnal Publikasi Ilmiah Matematika Jurnal Pengabdian Masyarakat Intimas (Jurnal INTIMAS): Inovasi Teknologi Informasi Dan Komputer Untuk Masyarakat Journal of applied statistics and data mining Joong-Ki
Diana, Arista Fitri
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Religion Humanities Computer Science & IT Decision Sciences, Operations Research & Management Dentistry Economics, Econometrics & Finance Education Electrical & Electronics Engineering Environmental Science Mathematics Medicine & Pharmacology Public Health Social Sciences

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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.
Dynamic Modeling and Stability Analysis of Loans, Deposits, and Liquidity in Conventional Banking Aulia, Lathifatul; Diana, Arista Fitri; Anggraini, Dyah Prita; Ginanjar, Agung
Desimal: Jurnal Matematika Vol. 9 No. 3 (2026): Desimal
Publisher : Universitas Islam Negeri Raden Intan Lampung

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24042/desimal.v9i3.32376

Abstract

This study develops a three-dimensional nonlinear ordinary differential-equation model linking normalized deposits, loans, and liquidity through liquidity-dependent deposit pressure. The analysis derives the equilibrium conditions while retaining the regularization parameter, examines conditional positivity and boundedness, and evaluates local stability using the Jacobian and Routh–Hurwitz criterion. The nonnegative orthant is not generally forward invariant; therefore, global positivity is not claimed. For a literature-informed illustrative baseline, the model admits two positive interior equilibria. The lower equilibrium (D=0.165214, L=0.141010, R=0.047210) is unstable, whereas the upper equilibrium (D=0.999790, L=0.853321, R=0.285690) is locally asymptotically stable. The origin is also locally stable in the mathematical domain. Recalculated fourth-order Runge–Kutta simulations and ±5% one-at-a-time sensitivities show how the 50-year normalized indices respond to baseline parameters; deposit carrying capacity has the largest positive local sensitivity for deposits under the selected conditions. The numerical parameters are assumed or literature-informed rather than fitted to historical banking observations. Accordingly, the model offers a conditional theoretical account of nonlinear banking feedback and requires formal parameter estimation and external validation before operational or regulatory application.
Co-Authors Agung Ginanjar ALYA MASITHA Anggraini, Dyah Prita Aulia, Lathifatul Cahyani, Annisa Nur Diny Zulkarnaen, Diny Hajar, Muhammad Ibnu Ikhtiyar, Zakaria Bani Iktiyar, Zakaria Bani Khumaeroh, Mia Siti Mahardika, Dhimas Muhammad Sulthan, Muhammad Rahmasari, Shafira Meiria Romadan, Gilang Romadon, Gilang Sakti, Ayutdi Purbo Sari, Virgania Shiddiqie, Ichwal Afrizan Sulthan Madani, Muhammad