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All Journal dCartesian: Jurnal Matematika dan Aplikasi JURNAL MATEMATIKA STATISTIKA DAN KOMPUTASI SAINSMAT CAUCHY: Jurnal Matematika Murni dan Aplikasi AKSIOMA JURNAL ILMIAH MATEMATIKA DAN TERAPAN JMPM: Jurnal Matematika dan Pendidikan Matematika Desimal: Jurnal Matematika BAREKENG: Jurnal Ilmu Matematika dan Terapan Dinamisia: Jurnal Pengabdian Kepada Masyarakat JTAM (Jurnal Teori dan Aplikasi Matematika) Indiktika : Jurnal Inovasi Pendidikan Matematika Jambura Journal of Mathematics Al-Khwarizmi: Jurnal Pendidikan Matematika dan Ilmu Pengetahuan Alam Delta: Jurnal Ilmiah Pendidikan Matematika Transformasi : Jurnal Pendidikan Matematika dan Matematika ALGORITMA : Journal of Mathematics Education Vygotsky: Jurnal Pendidikan Matematika dan Matematika InPrime: Indonesian Journal Of Pure And Applied Mathematics Jurnal Bakti Masyarakat Indonesia Majalah Ilmiah Matematika dan Statistika (MIMS) Jurnal Statistika dan Aplikasinya Jambura Journal of Mathematics Education Jambura Journal of Biomathematics (JJBM) JAMBURA JOURNAL OF PROBABILITY AND STATISTICS Euler : Jurnal Ilmiah Matematika, Sains dan Teknologi Journal of Science and Technology Journal of Mathematics: Theory and Applications Research in the Mathematical and Natural Sciences Aceh International Journal of Science and Technology Euclid Jurnal Matematika Integratif JNPM (Jurnal Nasional Pendidikan Matematika) Indonesian Journal of Mathematics and Applications d'Cartesian: Jurnal Matematika dan Aplikasi Differential: Journal on Mathematics Education Jambura Journal of Biomathematics (JJBM) Sainsmat : Jurnal Ilmiah Ilmu Pengetahuan Alam
Resmawan Resmawan
Department Of Mathematics, Universitas Negeri Gorontalo
Agriculture, Biological Sciences & Forestry Chemical Engineering, Chemistry & Bioengineering Computer Science & IT Control & Systems Engineering Decision Sciences, Operations Research & Management Earth & Planetary Sciences Economics, Econometrics & Finance Education Electrical & Electronics Engineering Energy Engineering Environmental Science Mathematics Mechanical Engineering Physics Public Health Social Sciences Transportation Other

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Analisis Cluster Fuzzy C-Means dan Diskriminan untuk Pengelompokan Data Kesejahteraan Rakyat Moh. Wahyu Warolemba; Resmawan; Dewi Rahmawaty Isa
SAINSMAT: Jurnal Ilmiah Ilmu Pengetahuan Alam Vol. 12 No. 2 (2023): Volume 12 Nomor 2 (September 2023)
Publisher : Fakultas Matematika dan Ilmu Pengetahuan Alam Universitas Negeri Makassar

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

Abstract

Cluster analysis is a multivariate method that aims to classify objects into a cluster based on different characteristics. The statistical technique that can be used for clustering is Fuzzy C-means (FCM). The FCM uses membership degree to determine the existence of each data point in a cluster. To ensure accurate clustering and that the criteria are met, cluster validation must be done to produce good data clustering. Moreover, this study uses a discriminant analysis test to validate the results of cluster solutions. The study aims to classify 34 provinces in Indonesia based on the level of people's welfare. The data used in this study is data on indicators of people's welfare in Indonesia in 2021. The variables used in this study were age/life expectancy, the average length of schooling, the 16-18 years of enrollment, and households with proper access to water. Based on the study results, two clusters were formed: cluster 1, areas with low people’s welfare indicator values in 16 provinces, and Cluster 2, regions with high people's welfare indicator values in 18 provinces.
Predator Interference-Induced Bistability and Hopf Bifurcation in a Predator–Prey Model with Prey Group Defense and Alternative Food Resmawan, Resmawan; Huda , Moh Nurul; Amanah, Ayu
Indonesian Journal of Mathematics and Applications Vol. 4 No. 2 (2026): Indonesian Journal of Mathematics and Applications
Publisher : Universitas Brawijaya

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.21776/ub.ijma.2026.004.02.1

Abstract

This paper investigates an extended predator–prey model incorporating logistic prey growth, prey group defense, alternative food for the predator, and predator interference. The extension is constructed by adding a predator interference term to the denominator of the functional response, so that predation efficiency is affected not only by prey density and alternative food, but also by predator density. The analysis focuses on the existence of equilibrium points, local stability, and bifurcation behavior of the model. The analytical results show that the model admits a predator-free equilibrium, a predator-only equilibrium, and coexistence equilibria. The predator-only equilibrium arises because the predator can persist by utilizing alternative food, even when the main prey becomes extinct. The bifurcation analysis shows the occurrence of transcritical bifurcations at the predator-free and predator-only equilibria, a saddle-node bifurcation at the interior equilibrium, and a Hopf bifurcation at the coexistence equilibrium. Furthermore, variation in the predator interference parameter generates two bistability regimes, namely bistability between the predator-only and predator-free equilibria, and bistability between the predator-free and coexistence equilibria. Numerical simulations support the analytical results and show that the model can exhibit convergence to equilibrium points, structural changes in equilibrium branches, bistability, and a stable limit cycle. These results indicate that the combination of alternative food, prey group defense, and predator interference enriches the dynamics of the predator–prey model. Numerical simulations support the analytical results and show that the model can exhibit convergence to equilibrium points, structural changes in equilibrium branches, bistability, and a numerically observed limit cycle. Ecologically, these dynamics indicate that the long-term outcome of predator–prey interactions may depend on initial population densities and resource conditions, so conservation or management strategies should consider possible shifts among predator extinction, predator persistence supported by alternative food, coexistence, and recurrent population oscillations.
Multiple Coexistence Equilibria, Stability Switching, and Bifurcations in a Plant-Pest-Predator Model Eduart Wolok; Resmawan Resmawan; Mehmet Yavuz; Olumuyiwa James Peter; Sharifah Sakinah Syed Ahmad
Jambura Journal of Biomathematics (JJBM) Vol. 7 No. 3: September 2026
Publisher : Department of Mathematics, Universitas Negeri Gorontalo

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.37905/jjbm.v7i3.107

Abstract

This study formulates and analyzes a three-dimensional plant-pest-predator model with logistic plant growth and nonlinear trophic interactions. The main objective is to investigate how pest conversion efficiency influences population persistence, equilibrium stability, and changes in long-term dynamics. The model is shown to preserve nonnegativity and boundedness of solutions, ensuring its biological feasibility. Several equilibrium states are identified, including the pest-free equilibrium, the predator-free equilibrium, and two possible coexistence equilibria. Local stability analysis reveals that the pest-free state is stable when the pest cannot invade the plant population, whereas the predator-free state may become stable when the pest persists but the predator cannot establish. The two coexistence equilibria exhibit different dynamical properties: the branch associated with the lower plant density is unstable, while the branch associated with the higher plant density can be locally asymptotically stable. Bifurcation analysis shows that variation in pest conversion efficiency generates multiple transcritical bifurcations connecting the pest-free, predator-free, and coexistence states. The stable coexistence equilibrium may subsequently lose stability through a Hopf bifurcation, leading to oscillatory population dynamics. Numerical simulations support the analytical findings and illustrate the transitions from pest extinction to predator-free persistence, stable coexistence, and oscillatory behavior. These results demonstrate that pest conversion efficiency plays a central role in determining predator invasion, coexistence stability, and the effectiveness of biological pest control.
A Non-Autonomous (Time-Varying) Lotka–Volterra Competition Model for Conventional and Islamic Banking Assets in Indonesia Rusdi, Wahyudi; Resmawan, Resmawan
Desimal: Jurnal Matematika Vol. 9 No. 3 (2026): Desimal
Publisher : Universitas Islam Negeri Raden Intan Lampung

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24042/desimal.v9i3.32950

Abstract

This study examines the joint evolution of conventional and Islamic banking assets in Indonesia using a non-autonomous Lotka–Volterra competition model. The model was calibrated to a compiled annual series for 2016–2024 with time-dependent intrinsic growth and capacity terms, constrained nonlinear least squares, and adaptive Runge–Kutta integration. The working series includes two interpolated observations (2017–2018). For these inputs, the time-dependent model achieved in-sample MAPE of 1.52% for Islamic banking and 2.22% for conventional banking, while the fitted interaction coefficients were near zero under the imposed bounds. Nevertheless, the constant-parameter model had the lowest reported AICc, and five rolling-origin tests produced mean errors of 7.69% and 5.50%, respectively. Bootstrap and enlarged-bound analyses indicated weak identification of several growth and capacity parameters. Frozen-time Jacobian calculations yielded locally stable equilibria for the autonomous systems evaluated at the observed years, without establishing stability of the full non-autonomous system. A continuation to 2028 produced a conditional Islamic-market-share median near 7.2% and a reported 90% bootstrap interval of 6.4–9.2%. These outputs describe the behavior of the retained dataset and model assumptions rather than a causal effect of the 2021 BSI merger or a validated financial forecast. The results underscore the importance of complexity penalties, identifiability analysis, and source-data provenance in aggregate financial-dynamics modeling.
Co-Authors Abdul Djabar Mohidin Abdul Djabar Mohidin Abdul Wahab Abdullah Abdul, Nur Safitri Achmad, N Adrian Patingki Agus Suryanto Agus Suryanto Agusyarif Rezka Nuha Ainun Sukmawati Al Idrus Akolo, Ingka Rizkiyani Al Idrus, Ainun Sukmawati Amalia Tatu Amanah, Ayu Amanda Adityaningrum Amelia Tri Rahma Sidik Andi Agung Anissa Dwi Wijayanti Apon Ismail Arianto A. Diu Asriadi Asriadi Asriadi Asriadi Bertu Rianto Takaendengan Binti Mualifatul Rosydah Binti Mualifatul Rosydah, Binti Mualifatul Boby Rantow Payu Brahim, Annisa Maharani Cabelita Husuna Dangkua, Sri Rahayu Dewi Rahmawati Isa Dewi Rahmawaty Isa Dewinta Mamula Djihad Wungguli Eduart Wolok Eka, M Endar Hasafah Nugrahani Evi Hulukati Febriolah Lamusu Gaib, Muhammad Bachtiar Gledisya Polontalo Handayani, Rizka Putri Hasan S. Panigoro Hawai Abas Kue Hayatun Napsia R. Tangahu Hendra Andrianto Yusuf Huda , Moh Nurul Husain, Moh Rizal Ibrahim, Rusdianto Ingka Rizkiyani Akolo Ismail Djakaria Isnani Darti Isnani Darti Isran K Hasan Jefriyanto Ibrahim Kartin Usman La Ode Nashar Lailany Yahya Laita, Nazrilla Hasan LIHAWA, SRIRAPI H Lindrawati Abdjul Mahading, Tria Susilowati Mahmud, Sri Lestari Majid Majid Megawati Megawati Mehmet Yavuz Moh. Wahyu Warolemba Moh. Wahyu Warolemba Mohamad, Regina Muthahharah, Isma Napui, Ismawanti Napui, Ismawanti NISKY IMANSYAH YAHYA Novianita Achmad Nuha, A R Nurdia Walangadi Nurfajria Rahim Nurhalis Hasan Nurmala Niode Nursiya Bito Nurwan Nurwan Nurwan Nurwan, Nurwan Olii, Isran R. Olumuyiwa James Peter Paian Sianturi Pakaya, Revandi S. Pauweni, Khardiyawan A.Y. Perry Zakaria Qur'ani, Fahma Mu'jizatil Rafika Pomalingo Rahasia, Zulaiha Rahasia, Zulaiha Rahmat Hidayat Rahmawati Yusuf RAHMAWATY AHMAD Rahmi, Emli RAJAK, SANDIKA S. Rasmawati Rasmawati Rasyid, Kamelia Rizka Putri Handayani Rosiana Jupri Rusdi, Wahyudi Rusniwati S. Imran Salmun K. Nasib Saltina, Saltina Sari, Septi Rahmita Sarson W DJ Pomalato Sartika Sari Dewi Selfiani Selfiani Sembiring, Rinawati Sharifah Sakinah Syed Ahmad Sidik, Amelia Tri Rahma Siti Hardiyanti Arsyad Siti Maisaroh Siti Zakiyah Siti Zakiyah Sitti Khadijah Sofyan Nuna Sri Istiyarti Uswatun Chasanah Sri Maryam Mohungo Sri Meylanti S. Ali Sumarno Ismail Susanti Susanti Syamsu Qomar Badu Taki, Febriani Tedy Machmud Tria Susilowati Mahading Vemsi Damopolii WA SALMI WD Rifqah Amalliah Ndangi Yamin Ismail Yusuf, Hendra Andrianto Zian Bula