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All Journal JURNAL DERIVAT: JURNAL MATEMATIKA DAN PENDIDIKAN MATEMATIKA Journal of Mathematics Education and Application (JMEA) Jurnal Sains Matematika dan Statistika JURNAL ILMIAH MATEMATIKA DAN TERAPAN Jambura Journal of Mathematics JAMBURA JOURNAL OF PROBABILITY AND STATISTICS Research in the Mathematical and Natural Sciences Islamic Economics and Finance Journal Journal of Principles Management and Bussines Journal of Mathematics, Computation and Statistics (JMATHCOS) Indonesian Journal of Computational and Applied Mathematics
Armayani Arsal
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Computer Science & IT Decision Sciences, Operations Research & Management Economics, Econometrics & Finance Education Engineering Environmental Science Mathematics Social Sciences

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Model Matematika Penyebaran Penyakit Demam Berdarah Dengue dengan Faktor Kesadaran Sosial: Analisis dan Simulasi Djuma, Clara Anggriani; Achmad, Novianita; Nuha, Agusyarif Rezka; Hasan, Isran K.; Arsal, Armayani
Jambura Journal of Mathematics Vol 7, No 2: August 2025
Publisher : Department of Mathematics, Universitas Negeri Gorontalo

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.37905/jjom.v7i2.33921

Abstract

Dengue haemorrhagic fever (DHF) is a serious health problem in many tropical regions, including Indonesia. The spread of this disease is influenced by various factors, one of which is the level of social awareness in the prevention and control of infection. This study developed a mathematical model of DHF spread by integrating social awareness as an additional compartment. The model was analysed by determining the equilibrium points and the basic reproduction number (R0), as well as stability analysis using the Routh–Hurwitz criterion. The analysis results show the existence of two types of equilibrium points: the disease-free equilibrium point (T1) and the endemic equilibrium point (T2). Point T1 is locally asymptotically stable when R0 1 and unstable when R0 1, while point T2 is locally asymptotically stable when R0 1. Sensitivity analysis shows that the social awareness parameter significantly influences the value of R0. Additionally, numerical simulations indicate that increasing social awareness can effectively reduce disease spread and drive the system toward a disease-free state. These findings underscore the importance of community-based awareness interventions in dengue control strategies.
The Occurrence of a Neimark-Sacker Bifurcation on a Discrete-Time Predator-Prey Model Involving Fear Effect and Linear Harvesting Kasim, Ranan; Panigoro, Hasan S.; Rahmi, Emli; Nuha, Agusyarif Rezka; Arsal, Armayani
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.v1i1.5

Abstract

This study investigates the dynamics of a discrete-time predator-prey model incorporating the fear effect and linear harvesting. The model assumes that both prey and predator populations are harvested proportionally to their densities, while the growth rate of the prey population is negatively impacted by predator presence due to fear. The analytical exploration identifies three fixed points: the extinction point, the predator-free equilibrium, and the coexistence equilibrium. Stability analysis and numerical simulations confirm the occurrence of a Neimark-Sacker bifurcation at the interior equilibrium, demonstrating the model's complex dynamical behaviors. The findings provide insights into population sustainability under different harvesting and predation conditions, highlighting how fear and harvesting jointly influence ecosystem stability.
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.
Operasi Cross-Union pada Koleksi Himpunan Koteri Majority Armayani Arsal; Setia Ningsih
Research in the Mathematical and Natural Sciences Vol. 1 No. 2 (2022): May-October 2022
Publisher : Scimadly Publishing

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (216.923 KB) | DOI: 10.55657/rmns.v1i2.61

Abstract

Coterie is a collection of sets called quorum which satisfies that any two sets have a non-empty intersection and are not property contained in one another. Based on topology, there are many types of coterie, for example, majority coterie. The majority coterie is a type of coterie with more availability than others to solve the problem of a distributed system. There are two types of majority coterie, dominated and non-dominated. The coterie join algorithm is an easy way to construct a new coterie with sizes larger quorum. In this study, we define a union operation for a majority coterie, called a cross-union operation. Then we prove that by using this algorithm, a new coterie is non-dominated if and only if the initial coteries are non-dominated.
Penerapan Simulasi Monte Carlo untuk Pengukuran Value at Risk (VaR) Setia Ningsih; Armayani Arsal
Research in the Mathematical and Natural Sciences Vol. 1 No. 2 (2022): May-October 2022
Publisher : Scimadly Publishing

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (279.896 KB) | DOI: 10.55657/rmns.v1i2.62

Abstract

The purpose of this study was to determine the measurement of value at risk (VaR) in Islamic stocks using the Monte Carlo simulation. The population used in this study are companies whose shares are listed on the Jakarta Islamic Index (JII). For the selection of samples using purposive sampling with the criteria of selecting companies engaged in the mining sector, namely ADRO, ANTM, INCO and PTBA. The results showed that the difference in VaR values ​​in each replication was caused by differences in the results of each simulation carried out, but the results were not different. far from each other because the parameters used in the simulation are the same. Therefore, in order to stabilize the results, the average value of the resulting VaR is taken. Based on the calculation results, the average value obtained is Rp. 1.132.721 at a 95% confidence level in a period of one day.
Co-Authors Agusyarif Rezka Nuha Al Fajri, Iman Aliwu, Randa Resvitasari Asriadi Daud, Sriwati M. Djihad Wungguli Djuma, Clara Anggriani Dukalang, Hendra Hartayuni Sain Hasan S. Panigoro Ismail Djakaria Isran K Hasan Jeffry Kusuma Kasim, Ranan Lailany Yahya Muhammad Rifai Katili Nadhilah, Farhah Nasria Nacong Ningsih, Setia NISKY IMANSYAH YAHYA Nurwan Nurwan, Nurwan Nurwijayanti Rahim, Delvira Masita Rahmi, Emli Selvy Musdalifah Setia Ningsih Setia Ningsih siswanto, Navira Tahir, Fauzia D.