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All Journal Jurnal Statistika Universitas Muhammadiyah Semarang Jurnal Pendidikan Matematika RAFA Jurnal Edukasi Matematika dan Sains Jurnal Sains Matematika dan Statistika BAREKENG: Jurnal Ilmu Matematika dan Terapan Pendas : Jurnah Ilmiah Pendidikan Dasar Communication in Biomathematical Sciences Jambura Journal of Mathematics MONSU'ANI TANO Jurnal Pengabdian Masyarakat Jurnal Matematika UNAND JP2M (Jurnal Pendidikan dan Pembelajaran Matematika) Contemporary Mathematics and Applications (ConMathA) Jambura Journal of Mathematics Education Jambura Journal of Biomathematics (JJBM) Jurnal Diferensial Euler : Jurnal Ilmiah Matematika, Sains dan Teknologi MATHunesa: Jurnal Ilmiah Matematika Pedagogy : Jurnal Pendidikan Matematika Jurnal Pengabdian Papua Bulletin of Applied Mathematics and Mathematics Education 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 Jambura Journal of Biomathematics (JJBM)
Hasan S. Panigoro
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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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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.
Analisis Butir Soal Matematika  Materi Persamaan Linier Dua Variabel Berbasis Google Sites Di Smp Negeri 3 Telaga Kaune, Nurlaila; Panigoro, Hasan S; Majid3, Majid
Jurnal Pendidikan Matematika RAFA Vol 11 No 2 (2025): Jurnal Pendidikan Matematika RAFA
Publisher : Program Studi Pendidikan Matematika, Universitas Islam Negeri Raden Fatah Palembang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.19109/jpmrafa.v11i2.32194

Abstract

Penelitian ini bertujuan pada upaya untuk mengetahui kualitas butir soal matematika untuk materi persamaan linier dua variable berbasis Google Sites di sekolah SMP Negeri 3 Telaga. Sampel penelitian terdiri dari 26 siswa dengan instrumen penelitian berupa tes pilihan ganda sebanyak 10 butir soal. Pengumpulan data dilakukan melalui tes online yang terdapat pada media Google Sites dan analisis menggunakan metode kuantitatif untuk menentukan kualitas butir soal. Hasil analisis menunjukkan bahwa kualitas butir soal dari tingkat validitas soal, yang valid sebesar 90% dan tidak valid sebesar 10%. Dari tingkat reliabilitas soal dengan nilai reliabilitas sebesar 0.825 dinyatakan reliabel. Jika dilihat dari segi tingkat kesukaran, sebagian besar soal berada pada kategori sedang sebanyak 55,56%, sedangkan 44,44% tergolong mudah. Sedangkan dari aspek daya pembeda, hasil analisis menunjukkan bahwa 77,78% butir soal termasuk dalam kategori sangat baik, 11,11% berkategori baik, dan 11,11% lainnya berada pada kategori cukup (perlu perbaikan). Temuan penelitian memberikan kontribusi signifikan dalam pengembangan instrumen evaluasi pembelajaran matematika, dengan implikasi penting bagi perbaikan kualitas tes dan peningkatan proses penilaian hasil belajar.
Sifat Fundamental Pada Granum Eulerian Suaib A. Siraj; Asriadi; Djihad Wungguli; Hasan S. Panigoro; Nurwan; Nisky I. Yahya
Limits: Journal of Mathematics and Its Applications Vol. 21 No. 2 (2024): Limits: Journal of Mathematics and Its Applications Volume 21 Nomor 2 Edisi Ju
Publisher : Pusat Publikasi Ilmiah LPPM Institut Teknologi Sepuluh Nopember

Show Abstract | Download Original | Original Source | Check in Google Scholar

Abstract

Mathematical analysis has several important connections with graph theory. Although initially, they may seem like two separate branches of mathematics, there are relationship between them in several aspects, such as graphs as mathematical objects that can be analyzed using concepts from analytic mathematics. In graph theory, one often studies distance, connectivity, and paths within a graph. These can be further analyzed using analytic mathematics, such as in the structure of natural numbers. Literature studies on graph theory, especially Eulerian graphs, are interesting to explore. An Eulerian path in a graph G is a path that includes every edge of graph G exactly once. An Eulerian path is called closed if it starts and ends at the same vertex. The concept of granum theory as a generalization of undirected graphs on number structures provides a rigorous approach to graph theory and demonstrates some fundamental properties of undirected graph generalization. The focus of this study is to introduce the connectivity properties of Eulerian granum. The granum G(e,M) is called connected if for every u,v E M with u != v there exists a path subgranumG^' (e,M^' )c G(e,M)  where u,v E M^' and is called an Eulerian granum if there exists a surjective mapping O: [||E(G(e,M))|| + 1]-> M such that e(o(n),o(n+1))=1 for every n E [||E(G(e,M))||]. This property provides a deeper understanding of the structure and characteristics of Eulerian granum, which have not been fully comprehended until now.
Optimal Diabetic Therapy Selection under Uncertainty: A Sinusoidal Pythagorean Fuzzy MOORA and TOPSIS Approach Vishalakshi Kuppusamy; Prasantha Dhandapani; Kalarani Murugesan; Kavitha Arumugam; Hasan Panigoro; Rebecca Nalule
Jambura Journal of Biomathematics (JJBM) Vol. 7 No. 2: June 2026
Publisher : Department of Mathematics, Universitas Negeri Gorontalo

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.37905/jjbm.v7i2.60

Abstract

Sinusoidal waves are fundamental to the analysis and synthesis of signals in engineering, physics, and applied sciences. Their periodic nature and mathematical simplicity make them essential in modelling oscillations, communication signals, and even artificial intelligence systems where signal patterns matter. In this paper, we introduce a new class of sinusoidal Pythagorean fuzzy set. We define a sinusoidal Pythagorean fuzzy average aggregation operator and discuss its properties. This operator is then applied in decision-making problems using sinusoidal Pythagorean fuzzy CRITIC method, sinusoidal Pythagorean fuzzy MOORA method, and sinusoidal Pythagorean fuzzy TOPSIS method for optimal diabetic therapy selection under uncertain clinical judgements.
APPLICATION OF BINARY LOGISTICS REGRESSION AND RANDOM FOREST TO CIGARETTE CONSUMPTION EXPENDITURE IN GORONTALO REGENCY 2022 Mohamad Taufik Hamani; Dewi Rahmawaty Isa; Salmun K. Nasib; Hasan S. Panigoro; Isran K. Hasan; Nisky Imansyah Yahya
Jurnal Statistika Universitas Muhammadiyah Semarang Vol 13, No 1 (2025): Jurnal Statistika Universitas Muhammadiyah Semarang
Publisher : Department Statistics, Faculty Mathematics and Natural Science, UNIMUS

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.26714/jsunimus.13.1.2025.14-22

Abstract

The goal of this research is to predict or identify an object's class using its available attributes through classification. The aim of this research is to use the random forest method to develop a classification model and the binary logistic regression method to discover significant determinants in cigarette consumption expenditure in Gorontalo Regency. The findings indicated that the size of the home, the number of family members, and the head of the household's educational attainment all had a considerable impact. Only the household head's educational attainment, however, consistently influences the model and satisfies the goodness of fit requirements. In contrast, the random forest model outperformed binary logistic regression in the classification analysis when classification characteristics including accuracy, precision, recall, and f1-score were assessed. Consequently, random forest was found to be the most effective classification model in this investigation.
A dynamical analysis of a predator-prey model: Exploring the influence of the Allee effect, environmental protection, and supplementary food sources Resmawan Resmawan; Agus Suryanto; Isnani Darti; Hasan S. Panigoro
Jambura Journal of Biomathematics (JJBM) Volume 6, Issue 4: December 2025
Publisher : Department of Mathematics, Universitas Negeri Gorontalo

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.37905/jjbm.v6i4.32685

Abstract

This paper introduces a new predator-prey model with supplementary food sorces for the predator and the Allee effect on prey. Analytical proof of the existence, uniqueness, non-negativity, and boundedness of the solutions validates the model. Three equilibrium points are found: a trivial point, whose local stability depends on the Allee effect’s strength; a semi-trivial point, and an interior point whose local stability depends on certain conditions. The Lyapunov function and La Salle invariance principle show that each equilibrium point is globally asymptotically stable. The system displays intricate dynamical behaviors, including forward and Hopf bifurcations, along with bistability, which is regulated by critical parameters such as the predation conversion rate, environmental protection rate, and supplementary food sources. Under a weak Allee effect, increasing the predation conversion rate or supplementary food can shift the system from predator extinction to oscillatory coexistence. In contrast, under a strong Allee effect, these increases may instead drive both species to extinction if thresholds are exceeded. Moreover, variations in environmental protection rate yield contrasting outcomes: while a higher rate under weak Allee conditions may stabilize prey and eliminate predators, under strong Allee conditions, it may lead to total extinction. These findings illustrate the intricate relationship between biological and environmental components, highlighting the necessity for preventive measures and supplementary resources in population outcomes. The findings indicate that environmental protection and supplementary food sources influence species persistence and extinction in predator-prey dynamics, which is crucial for ecological conservation.
Ethno-STEM Mobile Apps in Formal Education: A Systematic Review of Design Principles, Cultural Adaptation, and Learning Outcomes Indah Permatasari; Hasan S. Panigoro; Emli Rahmi
Euler : Jurnal Ilmiah Matematika, Sains dan Teknologi Volume 14 Issue 1 April 2026
Publisher : Universitas Negeri Gorontalo

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.37905/euler.v14i1.37935

Abstract

This study presents a systematic literature review examining the development and educational impact of ethno-STEM mobile applications used in formal education. The review aims to synthesize evidence regarding three main aspects: design principles and technical features of ethno-STEM mobile apps, the integration and cultural adaptation of local knowledge, and the learning outcomes reported for students. The review followed the PRISMA 2020 framework to ensure transparency and methodological rigor in the identification, screening, and synthesis of relevant studies. Literature was retrieved from the SCOPUS database using Boolean keywords covering publications from 2016 to 2026. After a structured screening process involving document type filtering and content-based eligibility criteria, five studies were included in the final qualitative synthesis. The findings reveal that most ethno-STEM mobile applications are developed using Android platforms and instructional design frameworks such as ADDIE, emphasizing multimedia integration, interactive visualization, and guided inquiry structures. Cultural knowledge is incorporated through approaches such as ethnopedagogy, ethnomathematics, ethnoscience, and dual representation of indigenous and scientific knowledge systems. However, cultural validation processes are commonly limited to expert reviews and user evaluations rather than participatory collaboration with community knowledge holders. The reviewed studies report positive educational outcomes, including improvements in mathematical problem solving, creative thinking, scientific literacy, and student engagement. Nevertheless, most evaluations rely on short-term interventions and limited methodological rigor, with little evidence of long-term learning impacts or identity development. Overall, the findings suggest that ethno-STEM mobile applications show strong pedagogical potential but require more robust cultural validation frameworks and longitudinal evaluation to support sustainable and culturally responsive STEM learning.
Co-Authors Abubakar, Agung Sucipto Agus Suryanto Agus Suryanto Agusyarif Rezka Nuha Ajiboye, Aminat Olabisi Ali Rusman Amanda Adityaningrum Amelia Tri Rahma Sidik Apon Ismail Armayani Arsal Armayani Arsal Asriadi Asriadi 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 M. Sahami Ferawati Kai G. S. Mahapatra Gani, Friansyah Gitami Suleman Hadi Susanto Harto Malik Hidajati, Ninik Wahju Indah Permatasari Ismail Djakaria Isnani Darti Isnani Darti Isnani Darti Isran K Hasan Isran K. Hasan K. Nasib, Salmun Kalarani Murugesan Kasim, Ranan Kaune, Nurlaila Kavitha Arumugam Kusumahwinahyu, Wuryansari Muharini La Ode Nashar Lahay, Anatasya Lailany Yahya Lakoro, Tiara Lamuda, Zulfatra Lanto Ningrayati Amali LIMALO, SRI AGUSTIN Mahmud, Sri Lestari Majid3, Majid Masrulkhalis Masrulkhalis Mohamad Hidayat Hala Mohamad Taufik Hamani Nadhilah, Farhah Nisky I. Yahya NISKY IMANSYAH YAHYA Nisky Imansyah 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 Prasantha Dhandapani Rahmi, Emli Rauf, Jayanti Rebecca Nalule Resmawan Resmawan Resmawan Resmawan Salmun K. Nasib Sarson W DJ Pomalato Sarson W. Dj Pomalato Sianne Sarif Sidik, Amelia Tri Rahma Siraj, Suaib A Suaib A. Siraj suma, reza ardiansyah Suryanto, Agus Taulia Damayanti Vishalakshi Kuppusamy Wuryansari Muharini Kusumahwinahyu Yahya, Nisky Imansyah Yayu Indriati Arifin