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Yuni Yulida
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Mathematics Department, Faculty of Mathematics and Natural Sciences, Lambung Mangkurat University. Jl. A. Yani KM.35.8 Banjarbaru, Kalimantan Selatan
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Epsilon: Jurnal Matematika Murni dan Terapan
Published by Universitas Lambung Mangkurat
ISSN : 19784422     EISSN : 26567660     DOI : http://dx.doi.org/10.20527
Core Subject : Science, Engineering,
Decision Sciences, Operations Research & Management Transportation
Jurnal Matematika Murni dan Terapan Epsilon is a mathematics journal which is devoted to research articles from all fields of pure and applied mathematics including 1. Mathematical Analysis 2. Applied Mathematics 3. Algebra 4. Statistics 5. Computational Mathematics
Arjuna Subject : Matematika - Matematika Terapan
Articles 4 Documents
 1 
Search results for , issue "Vol 20, No 1 (2026)" : 4 Documents clear
PEMODELAN MATEMATIKA PENYEBARAN PERILAKU PERUNDUNGAN DI SEKOLAH MENGGUNAKAN MODEL SBVR Aulia, Titania; Prihandono, Bayu; Kusumastuti, Nilamsari
EPSILON: JURNAL MATEMATIKA MURNI DAN TERAPAN Vol 20, No 1 (2026)
Publisher : Mathematics Study Program, Faculty of Mathematics and Natural Sciences, Lambung Mangkurat

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.20527/epsilon.v20i1.17735

Abstract

Bullying in the school environment is a social issue that adversely affects students’ psychological, social, and academic well-being. Understanding the dynamics of bullying behavior can be approached through mathematical modeling. This study develops a mathematical model of bullying behavior using the SBVR framework, which divides the population into four subpopulations: susceptible individuals, bullies, victims, and recovered individuals, to represent the dynamics of bullying behavior and evaluate the role of interventions in controlling it. The contribution of this study lies in the inclusion of a recovery compartment, which enables a more realistic representation of victim dynamics.The model is formulated as a system of nonlinear differential equations and analyzed to determine equilibrium points, compute the basic reproduction number as a key indicator of transmission potential, and evaluate the local stability of these equilibria. The results show that the model has two equilibrium points, namely a bullying-free equilibrium and a bullying-endemic equilibrium. The bullying-free equilibrium is locally asymptotically stable when the basic reproduction number is less than one, whereas the endemic equilibrium is stable when it exceeds one, indicating that this value acts as a threshold for the spread of bullying behavior. Numerical simulations show that increasing the effectiveness of interventions reduces the basic reproduction number and accelerates the decline in the number of bullies and victims. In addition, higher transition rates contribute to a faster spread of bullying behavior. These findings indicate that effective interventions play a crucial role in controlling bullying dynamics and can serve as a basis for developing strategies to reduce bullying in schools.
SIFAT INVARIAN TRANSLASI TOPOLOGI KONVERGENSI SERAGAM HAMPIR DIMANA-MANA PADA RUANG FUNGSI TERUKUR Haryadi, Haryadi -; Solikhin, Solikhin -
EPSILON: JURNAL MATEMATIKA MURNI DAN TERAPAN Vol 20, No 1 (2026)
Publisher : Mathematics Study Program, Faculty of Mathematics and Natural Sciences, Lambung Mangkurat

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.20527/epsilon.v20i1.16747

Abstract

The space of functions that is often studied is the space of functions whose members are all measurable functions. One of the methods to study the space is by forming a topology. The problem is how to construct a topology on that function space. In this paper, a topology on the space of equivalent class of measurable functions will be constructed by building a local basis. The local basis of zero functions is used to define open sets in the space. This construction yields results that a topology can be constructed on the space. The resulting topology has the properties of being invariant under translation and being Hausdorff. Furthermore, convergence in that topological space is equivalent to almost everywhere uniform convergence.
MODEL SURVIVAL HIDUP PASIEN KANKER MATA MENGGUNAKAN METODE KAPLAN-MEIER DAN REGRESI COX PROPORTIONAL HAZARD Rahmawan, Deyana Maulidya; Haliza, Delia Nur; Arifin, Samsul; Asianingrum, Al Hujjah
EPSILON: JURNAL MATEMATIKA MURNI DAN TERAPAN Vol 20, No 1 (2026)
Publisher : Mathematics Study Program, Faculty of Mathematics and Natural Sciences, Lambung Mangkurat

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.20527/epsilon.v20i1.18032

Abstract

Eye cancer is a relatively rare disease, but it can cause permanent vision impairment and even death if not treated properly. Differences in cancer type and patients’ clinical conditions are suspected to play a role in determining survival, so survival analysis is needed to describe survival patterns and identify factors affecting the risk of death. This study aims to analyze the survival of eye cancer patients and identify clinical factors influencing mortality risk using the Kaplan–Meier method and Cox Proportional Hazard regression. The research data were obtained from the Eye Cancer Patient Records dataset on the Kaggle platform, consisting of 5,000 medical records of eye cancer patients. Of these, 350 observations were used for Kaplan–Meier curve visualization so that survival patterns between groups could be more easily interpreted, while the Cox regression analysis was conducted using the prepared research data according to the modeling requirements. The results showed that cancer type was the only factor that significantly affected the risk of death. Patients with intraocular lymphoma had a hazard ratio of 1.54, meaning they had a 1.54 times higher risk of death compared to patients with retinoblastoma. Meanwhile, other variables such as gender, stage at first diagnosis, treatment type, surgery status, radiation therapy, and chemotherapy did not show a significant effect. Overall, these findings indicate that cancer type is the most prominent factor distinguishing survival between the two eye cancer groups analyzed.
KLASTERISASI GAYA BELAJAR MAHASISWA MATEMATIKA DENGAN FUZZY C-MEANS BERBASIS ATRIBUT VARK DAN HONEY-MUMFORD Febrian, Didi; Hutabarat, Hanna Dewi Marina; Siagian, Philips Pasca G
EPSILON: JURNAL MATEMATIKA MURNI DAN TERAPAN Vol 20, No 1 (2026)
Publisher : Mathematics Study Program, Faculty of Mathematics and Natural Sciences, Lambung Mangkurat

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.20527/epsilon.v20i1.17463

Abstract

Identifying student learning-style profiles is important for designing more adaptive instruction. However, prior studies on learning styles have mostly remained descriptive or correlational, while clustering-based mapping that integrates the VARK and Honey-Mumford models is still limited, particularly for Mathematics Study Program students. This study aimed to map student learning-style profiles using the Fuzzy C-Means (FCM) algorithm based on eight dimensions: Visual, Auditory, Read/Write, Kinesthetic, Activist, Reflector, Theorist, and Pragmatist. This study employed a descriptive quantitative approach involving 168 students of the Mathematics Study Program, FMIPA Universitas Negeri Medan. Data were collected through an online questionnaire; scores on the eight dimensions were averaged and combined as the input attributes for clustering. Cluster validity was evaluated using the Partition Coefficient (PC), Partition Entropy (PE), and Modified Partition Coefficient (MPC). The validity indices indicated that the two-cluster solution produced the best numerical values; however, the three-cluster solution was retained because it yielded more interpretable and less redundant profiles. For the three-cluster model, the values obtained were PC = 0.5222, PE = 0.8147, and MPC = 0.2834. The clustering results produced three profiles: Adaptive Multimodal (35.1%), Passive Kinesthetic (24.4%), and Practical Auditory (40.5%). These findings indicate that most students tend to learn more effectively through a combination of listening and direct practice.

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