cover
Contact Name
Hasan S. Panigoro
Contact Email
hspanigoro@gammarisepub.com
Phone
+6281356190818
Journal Mail Official
editorial.indocam@gammarisepub.com
Editorial Address
Gammarise Cakrawala Globalindo, Jln. Taman Hiburan I, Kota Gorontalo 96122, Provinsi Gorontalo, Indonesia
Location
Kota gorontalo,
Gorontalo
INDONESIA
Indonesian Journal of Computational and Applied Mathematics
Published by Gammarise Publishing
ISSN : -     EISSN : 30905281     DOI : https://doi.org/10.64182/indocam.v%v.i%i.%a
Indonesian Journal of Computational and Applied Mathematics covers a broad spectrum of topics at the intersection of mathematics, computation, and applied research. We invite submissions in areas such as: 1. Mathematical Modeling and Simulation Mathematical modeling and simulation involve developing mathematical frameworks to represent real-world systems and using computational methods to analyze their behavior under various conditions. This interdisciplinary research integrates mathematical theories, numerical algorithms, and computer simulations to study complex physics, engineering, biology, and economics phenomena. Models can be deterministic or stochastic, relying on differential equations, statistical methods, or machine learning techniques. Simulations enable researchers to predict outcomes, optimize processes, and test hypotheses in a controlled virtual environment, reducing experimental costs and risks while enhancing scientific understanding and technological innovation. 2. Computational Algorithms and Optimization Research in Computational Algorithms and Optimization focuses on developing efficient algorithms to solve complex mathematical and real-world problems by optimizing resource use, computation time, and accuracy. This field integrates techniques from numerical analysis, machine learning, operations research, and high-performance computing to tackle challenges in diverse domains such as engineering, finance, logistics, artificial intelligence, and scientific simulations. Key areas of study include convex and non-convex optimization, metaheuristic algorithms (e.g., genetic algorithms, particle swarm optimization), combinatorial optimization, and large-scale data-driven approaches. Advancements in this field enable faster and more precise decision-making, improving efficiency in the healthcare and transportation industries. 3. Numerical Methods and Scientific Computing Numerical Methods and Scientific Computing is a field that focuses on developing, analyzing, and implementing algorithms to solve mathematical problems that arise in science and engineering. It combines mathematical theory, computational techniques, and software development to approximate solutions for complex problems that may not have analytical solutions, such as differential equations, optimization, linear algebra, and data-driven modeling. This field is crucial in simulations, data analysis, and large-scale computations across various disciplines, including physics, engineering, finance, and machine learning. Advances in numerical methods enhance the accuracy, stability, and efficiency of computational models, enabling researchers to tackle real-world problems that are computationally intensive. 4. Machine Learning and AI in Mathematics "Machine Learning and AI in Mathematics" is an interdisciplinary field that leverages artificial intelligence techniques, particularly machine learning, to solve mathematical problems, discover new patterns, and enhance computational efficiency. It encompasses applications such as symbolic reasoning, theorem proving, optimization, and numerical analysis, enabling AI to assist in conjecture generation, equation solving, and high-dimensional data modeling. Machine learning methods, including neural networks and reinforcement learning, are increasingly used to automate mathematical proof verification and explore unsolved problems. This synergy between AI and mathematics advances pure and applied mathematics and drives progress in physics, engineering, and data science. 5. Financial Mathematics and Quantitative Economics Financial Mathematics and Quantitative Economics is an interdisciplinary field that applies mathematical models, statistical techniques, and computational methods to analyze and solve complex problems in finance and economics. It encompasses risk management, asset pricing, portfolio optimization, derivative pricing, and econometrics, using tools from probability theory, stochastic processes, and optimization. This field is crucial for data-driven financial markets, banking, insurance, and economic policy decisions. Integrating advanced quantitative methods with economic theory enables professionals to model financial systems, assess risks, and develop investment and economic growth strategies. 6. Data Science and Statistical Applications Data Science and Statistical Applications involve using mathematical and computational techniques to extract insights, make predictions, and inform decision-making from structured and unstructured data. Data science integrates statistics, machine learning, programming, and domain knowledge to analyze large datasets, uncover patterns, and develop predictive models. Statistical applications provide the theoretical foundation for data analysis, ensuring rigor in hypothesis testing, probability modeling, and inferential statistics. They drive healthcare, finance, marketing, and artificial intelligence advancements, enabling data-driven decision-making and innovation across industries. 7. Mathematical-based Signal and Image Processing Mathematical-based Signal and Image Processing involves applying advanced mathematical techniques to analyze, manipulate, and interpret signals and images for various engineering and scientific applications. It leverages concepts from linear algebra, Fourier analysis, wavelet transforms, probability theory, and optimization to enhance signal clarity, compress data, detect patterns, and extract meaningful information. This approach is fundamental in medical imaging, telecommunications, remote sensing, and artificial intelligence, where precise and efficient processing of signals and images is crucial for decision-making, automation, and technological advancements. 8. Computational Mechanics and Engineering Applications Computational Mechanics and Engineering Applications is an interdisciplinary field that integrates numerical methods, physics-based modeling, and computer simulations to analyze and solve complex engineering problems. It encompasses finite element analysis (FEA), computational fluid dynamics (CFD), structural mechanics, material modeling, and multi-physics simulations. By leveraging high-performance computing, artificial intelligence, and data-driven techniques, this field enables the optimization and innovation of engineering designs across various industries, including aerospace, automotive, civil engineering, and biomedical engineering. Advances in computational mechanics enhance predictive capabilities, improve efficiency, and support the development of next-generation engineering solutions. 9. Bioinformatics and Computational Biology Bioinformatics and Computational Biology are interdisciplinary fields that combine biology, computer science, mathematics, and statistics to analyze and interpret biological data. Bioinformatics focuses on developing algorithms, databases, and computational tools to manage and process large-scale biological datasets, such as genomic sequences and protein structures. Conversely, computational biology involves modeling and simulating biological systems to understand complex biological processes, such as gene regulation and protein interactions. Together, these fields play a crucial role in advancing research in genomics, drug discovery, personalized medicine, and systems biology by leveraging computational techniques to uncover insights from biological data.
Articles 5 Documents
Search results for , issue "Vol. 1 No. 2: June 2025" : 5 Documents clear
Dynamics of Alcohol Consumption Model with Public Awareness and Saturated Incidence Beay, Lazarus Kalvein; Saija, Maryone; Rijoly, Monalisa E.; Lesnussa, Yopi Andry; Talakua, Mozart Winston; Ilwaru, Venn Yan Ishak
Indonesian Journal of Computational and Applied Mathematics Vol. 1 No. 2: June 2025
Publisher : Gammarise Publishing

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.64182/indocam.v1i2.14

Abstract

This article develops a mathematical model for studying the impact of public awareness and intervention strategies on alcohol consumption patterns. To protect populations from addiction, we are focusing on educational campaigns and interventions. Alcohol consumption cases decrease as the model variable awareness susceptible class is increased through awareness campaigns and interventions. The nonnegativity and boundedness of the model's solutions are analyzed. A qualitative analysis of the model's equilibrium points and the alcohol reproductive number, R0, was performed. Global stability was analyzed for alcohol consumption at the positive equilibrium point via a suitable Lyapunov function. When the alcohol reproductive number (R0) is less than one, the alcohol-free equilibrium is globally asymptotically stable; otherwise, it is unstable. Although educational campaigns protect vulnerable people, their impact on the model is substantial. The simulation shows that the intervention directly and drastically reduces the target alcoholic population.
Developing a Python-Based Application for a Discrete-Time Population Dynamics Model Nadhilah, Farhah; Panigoro, Hasan S.; Arsal, Armayani; Nurwan, Nurwan; Wungguli, Djihad; Hasan, Isran K.
Indonesian Journal of Computational and Applied Mathematics Vol. 1 No. 2: June 2025
Publisher : Gammarise Publishing

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.64182/indocam.v1i2.20

Abstract

Difference equation is a type of equation in mathematics that is widely used to describe certain phenomena as time changes, one of which is in the field of population dynamics. In various studies, it is explained that solving complex population dynamics models is by using numerical simulations. Along with the development of technology, computational science is used to help solve mathematical problems that are difficult to solve analytically. One of them is to use a programming language, such as Python, to help present data in a graphical form. This research aims to develop an application that presents a computational solution to a difference equation using Python. The numerical results begin by entering the equation and variable values into the application, which then automatically generates a figure according to the entered equation. The figures generated in the application include one-dimensional and two-dimensional time series, as well as a Bifurcation diagram.
Dynamic Analysis of the Modified Leslie Gower Model with Harvesting of Prey and Holling Type II Functional Response Eghary, Nabila Kholifatul Yuniar; Savitri, Dian
Indonesian Journal of Computational and Applied Mathematics Vol. 1 No. 2: June 2025
Publisher : Gammarise Publishing

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.64182/indocam.v1i2.32

Abstract

This article studies the Modified Leslie-Gower model with constant business harvesting on the prey and functional response of Holling Type II. This approach is more realistic in several phenomena, one of which is in the phenomenon of rice fields, jali snakes, and owls. The research method begins by determining the assumptions for constructing models, stability analysis, and numerical simulations. Analysis of the equilibrium points was carried out to determine the condition of its stability locally using the Jacobian approach and the Routh-Hurwitz criteria by obtaining five existing points. Analysis of stability using the Jacobian matrix shows that the equilibrium point is an asymptotic node in certain conditions. Numerical simulations are carried out to determine the suitability of the results of the analysis using the software Maple and Python. Numerical simulation results show differences in the value of environmental carrying capacity affect changes in system solutions. Thus, the change in the value of carrying capacity does not always produce the same stability because the stability of the system depends on the sensitivity of the parameter to the overall dynamic structure. This finding provides a foundation for the management of biological resources, especially in controlling harvesting so that the population remains balanced.
Analysis of a Predator-Prey Model incorporating Prey Cannibalism and Intraspecific Competition on Predator Biduli, Meiske; Rahmi, Emli; Nasib, Salmun K.
Indonesian Journal of Computational and Applied Mathematics Vol. 1 No. 2: June 2025
Publisher : Gammarise Publishing

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.64182/indocam.v1i2.33

Abstract

In this research, we formulated a predator-prey model by considering cannibalism in the prey and intraspecific competition on predator population. We found three types of equilibrium points existed under certain condition, except the extinction of all population equilibrium point. Further, we analyzed the local stability of each equilibrium point via linearization method. We found that the extinction of all population equilibrium point is always unstable and the other points locally asymptotically stable under some conditions. Finally, the numerical simulation carried out to verify the analytical results and to perform the impact of prey cannibalism rate.
Dynamic Analysis of an Ecological Model with Fear Effect on Prey and Additional Food for Predator Using Ratio-Dependent Functional Response Salsabillah, Atiyah Safitri; Savitri, Dian
Indonesian Journal of Computational and Applied Mathematics Vol. 1 No. 2: June 2025
Publisher : Gammarise Publishing

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.64182/indocam.v1i2.34

Abstract

This study discusses the dynamic analysis of a predator-prey model that incorporates the fear effect on prey and supplemental food for predators, using a ratio-dependent functional response. The fear effect reduces the prey’s intrinsic growth rate due to behavioral changes under predation risk, while supplemental food enables the predator to survive even when prey density is low. The analysis begins with the formulation of the model equations, followed by the identification of equilibrium points, linearization of the system, and local stability analysis using eigenvalues. Numerical simulations are carried out using \textit{Matcont} and \textit{Pplane} to verify the analytical results and to illustrate the system’s qualitative behavior. The model parameters are based on the interaction between elk (\textit{ELK}) as prey and wolves (\textit{Canis lupus}) as predators. The results reveal four equilibrium points: $E_0=(0,0)$ is an unstable nodal source, $E_1=\left(0,\dfrac{nA(c\gamma - e\alpha)}{em}\right)$ and $E_2=\left(\dfrac{r-a}{b},0\right)$ are unstable saddle points, while the coexistence equilibrium $E_3=(x^*, y^*)$ is a stable spiral sink under certain parameter conditions. Bifurcation analysis with respect to the fear parameter $f$ and the supplemental food parameter $A$ reveals the occurrence of a transcritical bifurcation, where two equilibrium branches exchange stability. The system tends toward the equilibrium point $E_1$ when either $f$ or $A$ exceeds a critical threshold, indicating that predators can persist even as prey populations decline significantly. These findings suggest that predator survival is not solely dependent on prey availability but also influenced by the availability of alternative food sources and the intensity of the prey’s fear response.

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