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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 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 Jurnal Pengabdian Papua Trigonometri: Jurnal Matematika dan Ilmu Pengetahuan Alam Journal of Mathematics, Computation and Statistics (JMATHCOS) 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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Modeling of Abstinence Behavior on the Electoral Lists with Awareness Campaigns and Argumentative Schemes Beay, Lazarus Kalvein; Panigoro, Hasan S.; Rahmi, Emli; Savitri, Dian
Communication in Biomathematical Sciences Vol. 7 No. 2 (2024)
Publisher : The Indonesian Bio-Mathematical Society

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.5614/cbms.2024.7.2.4

Abstract

The most reasonable way to promote individual abstinence and increase voter turnout is through campaign interventions and schemes. Our paper introduces a deterministic model that captures the dynamics of citizens exercising their right to vote and the detrimental effect of abstainers on potential voters. The existence, basic reproductive number (R0) and local stability of abstinence behavior equilibrium points are determined by certain necessary conditions. The global stability of the abstaining-free point and abstaining point is achieved through the use of suitable Lyapunov functions. In addition, a sensitivity analysis of R0 was also performed. Moreover, we offer an ideal plan for an awareness program that supports politicians and officials in enhancing the registration rate of citizens on electoral lists with a level of effort. Our investigation reveals that utilizing the combination of an awareness campaign and argumentation schemes as time-dependent interventions drastically reduces abstention rates and greatly increases voter participation. By raising the values of awareness and registration rates, we can observe a decline in the basic reproductive number (R0). Our analytical results are supported by numerical simulations.
Kepraktisan E-Modul Flip Materi Lingkaran Berbasis Problem Based Learning Limalo, Sri Agustin; Abbas, Nurhayati; Panigoro, Hasan S.
Jambura Journal of Mathematics Education Vol 4, No 2: September 2023
Publisher : Department of Mathematics, Universitas Negeri Gorontalo

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.37905/jmathedu.v4i2.18204

Abstract

This study aims to test the practicality of the problem-based mathematics e-module based on circle material. The type of research used is comparative descriptive research. The subjects of this study were teachers and students of class IX at SMP Negeri 2 Tilamuta. The results showed that the assessment of using Problem Based Learning -based mathematics e-modules received positive responses from teachers with an average percentage of 87.23% and positive responses from students with an average percentage of 78.45%. The average percentage of teacher and student responses is in the very good category, the module meets the practical criteria. Based on the study result, it can be concluded that the Problem Base Learning -based mathematics e-module, Circle material, fulfils practicality so it is suitable for use in learning.
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 Kemampuan Literasi Numerasi Peserta Didik Melalui Hasil Jawaban Asesmen Madrasah Masrulkhalis, Masrulkhalis; Pomalato, Sarson W Dj; Panigoro, Hasan S
JEMS: Jurnal Edukasi Matematika dan Sains Vol. 13 No. 2 (2025)
Publisher : Universitas PGRI Madiun

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.25273/jems.v13i2.21332

Abstract

Penelitian ini bertujuan untuk menganalisis pencapaian literasi numerasi siswa berdasarkan hasil jawaban mereka pada ujian literasi numerasi. Pendekatan yang digunakan adalah deskriptif kuantitatif, dengan sampel siswa yang telah mengikuti ujian literasi numerasi di sekolah menengah pertama. Data dikumpulkan melalui jawaban peserta didik pada soal evaluasi dan dianalisis untuk mengidentifikasi tingkat kemampuan literasi numerasi, pola kesalahan, dan faktor-faktor yang mempengaruhi hasil tersebut. Hasil penelitian menunjukkan bahwa sebagian besar siswa berada pada tingkat literasi numerasi dasar hingga menengah, dengan kesulitan utama pada soal-soal yang memerlukan interpretasi data dan pemecahan masalah. Beberapa rekomendasi untuk meningkatkan pencapaian literasi numerasi di antaranya pengembangan metode pembelajaran kontekstual dan penggunaan media pembelajaran digital. Kata kunci: Literasi numerasi, analisis jawaban siswa, pencapaian pembelajaran, metode pembelajaran, pemecahan masalah
A dynamical analysis of a predator-prey model: Exploring the influence of the Allee effect, environmental protection, and supplementary food sources Resmawan, Resmawan; Suryanto, Agus; Darti, Isnani; Panigoro, Hasan S.
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.
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.
Ethno-STEM Mobile Apps in Formal Education: A Systematic Review of Design Principles, Cultural Adaptation, and Learning Outcomes Permatasari, Indah; Panigoro, Hasan S.; Rahmi, Emli
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 Agusyarif Rezka Nuha Ajiboye, Aminat Olabisi Amelia Tri Rahma Sidik Apon Ismail Armayani Arsal 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 Indah Permatasari Ismail Djakaria Isnani Darti Isnani Darti Isran K Hasan K. Nasib, Salmun Kai, Ferawati Kasim, Ranan Kaune, Nurlaila 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 Nadhilah, Farhah NISKY IMANSYAH YAHYA Novianita Achmad Nurafni, Firda Nurdia Walangadi Nurhayati Abbas Nurmardia Abdussamad, Siti Nurwan, Nurwan Nurwan, Nurwan Oguntolu, Festus Abiodun Omede, Benjamin Idoko P. K. Santra Pakaya, Revandi S. Perry Zakaria Peter, Olumuyiwa James Pomalato, Sarson W Dj Rahmi, Emli Rauf, Jayanti Resmawan Resmawan Salmun K. Nasib Sarson W DJ Pomalato Sidik, Amelia Tri Rahma Siraj, Suaib A suma, reza ardiansyah Suryanto, Agus Wungguli, Djihad Wuryansari Muharini Kusumahwinahyu Yahya, Nisky Imansyah Yayu Indriati Arifin