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All Journal Jurnal Statistika Universitas Muhammadiyah Semarang Jurnal Sains Matematika dan Statistika BAREKENG: Jurnal Ilmu Matematika dan Terapan Pendas : Jurnah Ilmiah Pendidikan Dasar Communication in Biomathematical Sciences Limits: Journal of Mathematics and Its Applications Jambura Journal of Mathematics MONSU'ANI TANO Jurnal Pengabdian Masyarakat Jurnal Matematika UNAND Contemporary Mathematics and Applications (ConMathA) Jambura Journal of Mathematics Education Jambura Journal of Biomathematics (JJBM) Jurnal Diferensial MATHunesa: Jurnal Ilmiah Matematika Jurnal Pengabdian Papua Trigonometri: Jurnal Matematika dan Ilmu Pengetahuan Alam Journal of Mathematics, Computation and Statistics (JMATHCOS) Limits: Journal of Mathematics and Its Applications Indonesian Journal of Computational and Applied Mathematics
Hasan S. Panigoro
Universitas Negeri Gorontalo
Agriculture, Biological Sciences & Forestry Humanities Biochemistry, Genetics & Molecular Biology Chemical Engineering, Chemistry & Bioengineering Civil Engineering, Building, Construction & Architecture Computer Science & IT Control & Systems Engineering Decision Sciences, Operations Research & Management Economics, Econometrics & Finance Education Energy Engineering Languange, Linguistic, Communication & Media Materials Science & Nanotechnology Mathematics Mechanical Engineering Medicine & Pharmacology Physics Public Health Social Sciences Transportation Other

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Journal : Indonesian Journal of Computational and Applied Mathematics

 1 
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.
Particle Swarm Optimization-Enhanced DBSCAN for Clustering Malnutrition Data on Java Island, Indonesia Nurafni, Firda; Nashar, La Ode; Panigoro, Hasan S.
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.v1i1.7

Abstract

This manuscript proposes an approach that uses the Particle Swarm Optimization (PSO) algorithm to optimize the parameters of the DBSCAN (Density-Based Spatial Clustering of Applications with Noise) method in mapping the spatial pattern of malnutrition in Java. Results showed that with a Silhouette Coefficient value close to 1 (0.134) and the lowest Davies-Bouldin Index (1.80), PSO successfully determined the optimal epsilon (eps) value of 1.76 and the optimal minimum number of points of 3. Index validation showed that DBSCAN could map the study area into three clusters that reflected the level of malnutrition, where 82 districts/cities were included in Cluster 0, 5 districts/cities in Cluster 1, and 3 districts/cities in Cluster 2. In contrast, 29 districts/cities were identified as noise. This finding confirms that the PSO approach in optimizing DBSCAN parameters can improve the method's effectiveness in handling complex cases such as malnutrition in a geospatial context.
A Mathematical Model of the Mud Crab (Scylla Sp.) Involving Cannibalism and Refuge Abubakar, Agung Sucipto; Panigoro, Hasan S.; Djakaria, Ismail; Nuha, Agusyarif Rezka; Hasan, Isran K.; Asriadi, Asriadi
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.v1i1.12

Abstract

Cannibalism, a common ecological phenomenon in various species, significantly impacts the population dynamics of mud crabs (Scylla sp.). This study develops a mathematical model to analyze the effects of cannibalism and protective refuges on the population sustainability of juvenile and adult mud crabs. The model identifies two equilibrium points: the extinction equilibrium and the coexistence equilibrium. Stability analysis using the Jacobian matrix reveals that the extinction equilibrium is locally asymptotically stable under specific conditions. In contrast, the coexistence equilibrium depends on the transition rate from juvenile to adult crabs and the effectiveness of protective measures. Numerical simulations demonstrate that increasing the transition rate and implementing higher levels of refuge protection mitigate the adverse effects of cannibalism, enhancing population stability. These findings provide a quantitative foundation for sustainable fisheries management and conservation strategies for mud crab populations in mangrove ecosystems.
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.
Co-Authors Abubakar, Agung Sucipto Agus Suryanto Agusyarif Rezka Nuha Ajiboye, Aminat Olabisi Amelia Tri Rahma Sidik Apon Ismail Armayani Arsal Asriadi Asriadi Asriadi Asriadi, Asriadi Balogun, Ghaniyyat Bolanle Beay, Lazarus Kalvein Cabelita Husuna Darti, Isnani Datu, Pratiwi Ardin Daud, Sriwati M. Dewi Rahmawaty Isa DIAN SAVITRI Dian Savitri Djihad Wungguli Femy Mahmud Sahami G. S. Mahapatra Gani, Friansyah Hadi Susanto Hamani, Mohamad Taufik Harto Malik Hidajati, Ninik Wahju Ismail Djakaria Isnani Darti Isnani Darti Isran K Hasan K. Nasib, Salmun Kai, Ferawati Kasim, Ranan Kusumahwinahyu, Wuryansari Muharini La Ode Nashar Lahay, Anatasya Lailany Yahya Lakoro, Tiara Lamuda, Zulfatra Lanto Ningrayati Amali LIMALO, SRI AGUSTIN Mahmud, Sri Lestari Nadhilah, Farhah Nisky I. Yahya NISKY IMANSYAH YAHYA Novianita Achmad Nurafni, Firda Nurdia Walangadi Nurhayati Abbas Nurmardia Abdussamad, Siti Nurwan Nurwan, Nurwan Nurwan, Nurwan Oguntolu, Festus Abiodun Omede, Benjamin Idoko P. K. Santra Pakaya, Revandi S. Perry Zakaria Peter, Olumuyiwa James Rahmi, Emli Rauf, Jayanti Resmawan Resmawan Salmun K. Nasib Sarson W DJ Pomalato Sidik, Amelia Tri Rahma Siraj, Suaib A Suaib A. Siraj suma, reza ardiansyah Suryanto, Agus Wungguli, Djihad Wuryansari Muharini Kusumahwinahyu Yahya, Nisky Imansyah Yayu Indriati Arifin