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Agus Suryanto
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Faculty of Mathematics and Natural Sciences, Brawijaya University. Jl. Veteran, Malang City, East Java, Indonesia
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INDONESIA
Indonesian Journal of Mathematics and Applications
Published by Universitas Brawijaya
ISSN : -     EISSN : 29868149     DOI : https://doi.org/10.21776/ub.ijma
Core Subject : Science, Education,
Computer Science & IT Education Mathematics Other
The Indonesian Journal of Mathematics and Applications is a journal managed by Universitas Brawijaya, Malang, Indonesia, that is published twice a year (in March and September). IJMA is devoted to research articles of the highest quality in all areas of mathematics and its applications, statistics, and data science. The journal covers the following topics: Mathematical Analysis, Algebra, Biomathematics, Industrial Mathematics, Operasion Research, and Optimization, Data Sciences/Soft computing, Mathematical Physics, Financial Mathematics and Actuarial Sciences, Statictics. Upon its submission, the Editor-in-Chief decides on the suitability of the paper’s content for the aim and scope of the IJMA. If the Editor in Chief considers the paper is suitable, then the paper will be sent for peer reviewing by two peer reviewers. The Indonesian Journal of Mathematics and Applications maintains double anonymity, so neither the peer reviewers nor the author(s) can be identified by one another. The peer reviewers are respected scholars in the areas. The Indonesian Journal of Mathematics and Applications is an open access, peer-reviewed journal that considers articles describing novel computational algorithms and software, models and tools, including statistical methods, machine learning, and artificial intelligence, as well as systems biology.
Arjuna Subject : Matematika - Matematika Terapan
Articles 65 Documents
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Predator Interference-Induced Bistability and Hopf Bifurcation in a Predator–Prey Model with Prey Group Defense and Alternative Food Resmawan, Resmawan; Huda , Moh Nurul; Amanah, Ayu
Indonesian Journal of Mathematics and Applications Vol. 4 No. 2 (2026): Indonesian Journal of Mathematics and Applications
Publisher : Universitas Brawijaya

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.21776/ub.ijma.2026.004.02.1

Abstract

This paper investigates an extended predator–prey model incorporating logistic prey growth, prey group defense, alternative food for the predator, and predator interference. The extension is constructed by adding a predator interference term to the denominator of the functional response, so that predation efficiency is affected not only by prey density and alternative food, but also by predator density. The analysis focuses on the existence of equilibrium points, local stability, and bifurcation behavior of the model. The analytical results show that the model admits a predator-free equilibrium, a predator-only equilibrium, and coexistence equilibria. The predator-only equilibrium arises because the predator can persist by utilizing alternative food, even when the main prey becomes extinct. The bifurcation analysis shows the occurrence of transcritical bifurcations at the predator-free and predator-only equilibria, a saddle-node bifurcation at the interior equilibrium, and a Hopf bifurcation at the coexistence equilibrium. Furthermore, variation in the predator interference parameter generates two bistability regimes, namely bistability between the predator-only and predator-free equilibria, and bistability between the predator-free and coexistence equilibria. Numerical simulations support the analytical results and show that the model can exhibit convergence to equilibrium points, structural changes in equilibrium branches, bistability, and a stable limit cycle. These results indicate that the combination of alternative food, prey group defense, and predator interference enriches the dynamics of the predator–prey model. Numerical simulations support the analytical results and show that the model can exhibit convergence to equilibrium points, structural changes in equilibrium branches, bistability, and a numerically observed limit cycle. Ecologically, these dynamics indicate that the long-term outcome of predator–prey interactions may depend on initial population densities and resource conditions, so conservation or management strategies should consider possible shifts among predator extinction, predator persistence supported by alternative food, coexistence, and recurrent population oscillations.
Existence, Uniqueness, and Convergence of the Coupled Mahgoub-Adomian Decomposition Method for Volterra-Fredholm Integro-Differential Equations Bello, Kareem; Adepoju, Julius; Onitilo, Sefiu A.; Ogundele
Indonesian Journal of Mathematics and Applications Vol. 4 No. 2 (2026): Indonesian Journal of Mathematics and Applications
Publisher : Universitas Brawijaya

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.21776/ub.ijma.2026.004.02.2

Abstract

The current paper presents a detailed study of the application of the Coupled Mahgoub-Adomian Decomposition Method (CMADM) to solve both linear and nonlinear Volterra and Fredholm IDEs. The current method includes the effectiveness of the application of the Mahgoub integral transform along with the efficiency of the use of the ADM to handle the nonlinearity in the problem. In addition, existence and uniqueness theorems for the solutions of IDEs via the Banach fixed point theorem and the Picard iteration process are proved for the first time. Convergence of the generated series via the current method is investigated via the Cauchy-estimate bound on the Adomian polynomials, which replaces the unjustified linear estimate used in a previous version of this paper, and norm estimates in a suitable Banach space. Conditions under which the accuracy of the result after truncation of the series can be achieved are derived. We specify what is new in comparison with the existing Laplace, Sumudu, and Elzaki Adomian methods; we fix two inaccuracies found in the referee review process: an erroneous “exact solution” of one nonlinear problem, and an arithmetic mistake in the Fredholm example; and we add one more nonlinear problem with an oscillatory kernel along with convergence rate tables and error graphs. As an illustration, four examples, including one linear and three nonlinear integro-differential equations, are considered.
A Delay Differential Equation Model for Nipah Virus Transmission with Vaccination and Hospital Amplification Onitilo, Sefiu; Adepoju, Julius; Ajani, Abiodun S.; Haruna, Hammed A.; Ayeni, Sheriffat T.; Odetunde, Opeyemi
Indonesian Journal of Mathematics and Applications Vol. 4 No. 2 (2026): Indonesian Journal of Mathematics and Applications
Publisher : Universitas Brawijaya

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.21776/ub.ijma.2026.004.02.5

Abstract

Nipah virus (NiV) is a deadly zoonosis capable of human-to-human transmission and amplification via hospital settings. In this paper, we formulate a delay differential equations model of NiV with seven states (susceptible, vaccinated, exposed, asymptomatically infected, symptomatically infected, hospitalized, and recovered) considering incubation delay, partial vaccine efficacy, waning immunity, and transmission within hospitals. The basic reproduction number R₀ is calculated using the next-generation matrix approach. If R₀ < 1, then there is global stability of the disease-free equilibrium; and an endemic equilibrium exists uniquely when R₀ > 1. Simulations using parameter values based on outbreaks in Bangladesh and Malaysia reveal that human-to-human transmission outdoes zoonotic spillover, while vaccination rate and efficacy and recovery rate in hospitals emerge as key control parameters.
Dynamical Analysis and Data-Driven Parameter Estimation of a Multi-Stage Toyota Manufacturing System Using Machine Learning Habibah, Ummu; Hidayat, Fatah; Ardiana, Dita; Andawaningtyas, Kwardiniya; Karim, Corina; Marjono; Maulana, Avin; Kurniawaty, Mila; Muthuvalu, Mohana Sundaram; Gunaningtyas, Almira Jorydanta
Indonesian Journal of Mathematics and Applications Vol. 4 No. 2 (2026): Indonesian Journal of Mathematics and Applications
Publisher : Universitas Brawijaya

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.21776/ub.ijma.2026.004.02.4

Abstract

Efficient buffering and material flow synchronization are foundational to maintaining high-volume throughput in modern automotive assembly networks, such as the Toyota Production System (TPS). However, real-time control utility optimization and predictive scheduling are often constrained by hidden or variable workshop capacities (μᵢ). This paper proposes a comprehensive data-driven parameter estimation and continuous-time dynamical analysis framework to model a multi-stage automotive manufacturing queueing network under Just-In-Time (JIT) control policies. The plant is formalized using a continuous state-space model governed by ordinary differential equations (ODEs), incorporating a non-linear minimum (min) operator at multi-input junctions to capture the vehicle-engine synchronization (marriage process). Local stability analysis rigorously establishes that the network converges asymptotically toward a unique steady-state equilibrium vector X̄, behaving as a globally attractive Stable Node capable of neutralizing severe initial line imbalances. To make the model adaptive to factory floor environments, a machine learning least-squares optimization loop backed by MATLAB’s adaptive numerical solvers is deployed to identify hidden processing capacities from noisy, discrete work-in-progress (WIP) time-series data. Goodness-of-fit validations against synthetic datasets contaminated with 2% Gaussian white noise demonstrate exceptional tracking fidelity, yielding minimal residual thresholds (RMSE ≤ 0.029). The results confirm that integrating continuous-time differential equations with data-driven optimization establishes a robust, highly scalable, and structurally stable digital twin framework for real-time manufacturing system calibration and throughput optimization.
Fuzzy Multi-Objective Transportation Problem with Gaussian Fuzzy Numbers Pandapotan, Daniel; Marjono; Hidayat, Noor
Indonesian Journal of Mathematics and Applications Vol. 4 No. 2 (2026): Indonesian Journal of Mathematics and Applications
Publisher : Universitas Brawijaya

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.21776/ub.ijma.2026.004.02.3

Abstract

This study presents an adapted solution procedure for solving a fuzzy multi-objective transportation problem (FMOTP) using Gaussian Fuzzy Numbers (GFNs). Previous harmonic mean-based FMOTP studies have mainly employed Triangular Fuzzy Numbers (TFNs), while the use of GFNs remains less explored in this context. To address this gap, the procedure integrates TFN-to-GFN conversion, centroid-based defuzzification, harmonic mean aggregation, matrix reduction, and an explicit priority-cell allocation rule. The numerical example shows that the resulting allocation produces lower total transportation time and distance than the recalculated reference allocation, while the total transportation cost increases only slightly. The sensitivity analysis shows that the base allocation remains unchanged when either selected transportation-time parameter is increased by up to 15%. These findings indicate that the adapted procedure offers a systematic and reproducible approach for obtaining a feasible trade-off allocation when transportation time and distance are important operational considerations.

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