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All Journal Journal of the Indonesian Mathematical Society Delta-Pi : Jurnal Matematika dan Pendidikan Matematika JPPM (JURNAL PENELITIAN DAN PEMBELAJARAN MATEMATIKA) Journal of Mathematics and Mathematics Education (JMME) BAREKENG: Jurnal Ilmu Matematika dan Terapan Unisda Journal of Mathematics and Computer Science (UJMC) SELAPARANG: Jurnal Pengabdian Masyarakat Berkemajuan Jurnal Pendidikan dan Pembelajaran Sains Indonesia (JPPSI) Jurnal LENTERA: Jurnal Studi Pendidikan Jurnal Pendidikan dan Pembelajaran Sains Indonesia (JPPSI) ESTIMASI: Journal of Statistics and Its Application Jurnal Pengabdian kepada Masyarakat Nusantara Jambura Journal of Biomathematics (JJBM) International Journal of Educational Management and Innovation (IJEMI) Jurnal Diferensial Euler : Jurnal Ilmiah Matematika, Sains dan Teknologi Jurnal Media Informatika Jurnal Cakrawala Ilmiah Jurnal Pengabdian Kepada Masyarakat (JPKM) Jurnal Lembaga Pengabdian Kepada Masyarakat Undana STATISTIKA BAKTI : Jurnal Pengabdian Kepada Masyarakat
Maria Agustina Kleden
Program Studi Matematika, Universitas NUsa Cendana
Agriculture, Biological Sciences & Forestry Humanities Computer Science & IT Control & Systems Engineering Decision Sciences, Operations Research & Management Economics, Econometrics & Finance Education Energy Engineering Environmental Science Health Professions Languange, Linguistic, Communication & Media Law, Crime, Criminology & Criminal Justice Materials Science & Nanotechnology Mathematics Mechanical Engineering Medicine & Pharmacology Nursing Physics Public Health Social Sciences Transportation Other

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Recidivism-Driven Persistence in Crime Dynamics: A Comparative S–C–P–R Compartmental Model for Kupang City, Indonesia Yohanes Yordente Wete; Maria Lobo; Maria Agustina Kleden; Albert Mario Kumanireng
Euler : Jurnal Ilmiah Matematika, Sains dan Teknologi Volume 14 Issue 2 August 2026
Publisher : Universitas Negeri Gorontalo

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.37905/euler.v14i2.38389

Abstract

Crime remains a significant social problem in Kupang City, which recorded 2,173 criminal cases in the first half of 2024, necessitating a quantitative approach to understand its dynamics. This study aims to construct and analyze mathematical models of crime dynamics in Kupang City by considering the role of recidivism. Two compartmental models (S–C–P–R) are developed: a model with recidivism and a model without recidivism, each formulated as a system of ordinary differential equations. The analysis includes the determination of equilibrium points, the basic reproduction number (R0) using the Next Generation Matrix method, stability analysis via the Jacobian matrix and the Routh–Hurwitz criterion, sensitivity analysis, and numerical simulation using a Nonstandard Finite Difference (NSFD) scheme. Parameter estimation is performed through exponential regression based on crime data from Kupang City for the period 2013–2024. The results show that the model without recidivism yields R0 = 2.3525, indicating that criminal activity will persist and grow over time. The crime-free equilibrium point is locally asymptotically stable when R0  1, and sensitivity analysis identifies the transmission rate β as the most influential parameter affecting R0. In the model with recidivism, the feedback loop from the recovered compartment to the criminal compartment causes the crime-free equilibrium point to become unstable, and R0 is not well-defined due to the absence of a clear generational structure. These findings suggest that recidivism significantly complicates crime control and that strategies focused on reducing the transmission rate β are essential for suppressing criminal activity in Kupang City.
Analisis Pola Hubungan Jenis dan Komponen Limbah Rumah Sakit Berdasarkan Tahun Pengamatan Menggunakan Model Log-Linear Tiga Dimensi Maria Helena K. Goma; Maria A. Kleden; Robertus D. Guntur
UJMC (Unisda Journal of Mathematics and Computer Science) Vol. 12 No. 1 (2026): Unisda Journal of Mathematics and Computer Science
Publisher : Mathematics Department, Faculty of Sciences and Technology Unisda Lamongan

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.52166/ujmc.v12i1.13640

Abstract

Hospital waste has the potential to adversely affect human health and the environment if not properly managed. This study aims to analyze the relationship between waste type, waste components, and year of observation, and to determine the best three-dimensional log-linear model for waste data from Dr. Hendrikus Fernandes Larantuka Regional General Hospital for the period 2023–2025. The data used were secondary data from the Environmental Health Administration Department of Dr. Hendrikus Fernandes Larantuka Regional General Hospital. The variables analyzed included the year of observation, waste type, and waste components. The analysis was conducted using a three-dimensional log-linear model through a goodness-of-fit test, a partial association test, selection of the best model using the backward elimination method, and relative risk analysis. The results showed that the model fit the data based on the goodness-of-fit test, with a Pearson Chi-Square value of 2.170 and a significance level of 0.950 (>0.05). The partial association test indicated no significant association between waste type and waste components after controlling for year (p = 0.862). The best model obtained was the main effects model of waste components, with a Likelihood Ratio Chi-Square value of 2.943 and a significance level of 0.983 (>0.05). The relative risk analysis yielded an RR value of 2.32, indicating that the likelihood of solid waste components being present in non-infectious waste is 2.32 times greater than in infectious waste.
Peningkatan Kemampuan Literasi Numerasi Melalui Pembelajaran Matematika Berbasis Media Interaktif di SD Inpres Naimata Maria Agustina Kleden; Astri Atti; Elisabeth Brielin Sinu; Wenefrida Tulit Ina; Diah Ayu Saptyaningtyas; Romaito Br Silalahi; Nikmatul Ajizah Ambao
Jurnal Media Informatika Vol. 6 No. 6 (2025): Edisi Desember 2025
Publisher : Lembaga Dongan Dosen

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.55338/jumin.v6i6.7475

Abstract

Kemampuan literasi numerasi merupakan kompetensi yang harus dimiliki oleh siswa sekolah dasar sebagai fondasi dalam menguasai berbagai mata pelajaran. Namun, hasil asesmen nasional menunjukkan capaian literasi dan numerasi siswa tergolong rendah. Kegiatan pengabdian kepada masyarakat ini bertujuan untuk meningkatkan kemampuan literasi dan numerasi siswa melalui pembelajaran matematika berbasis media interaktif di SD Inpres Naimata. Metode yang digunakan adalah menerapkan pembelajaran berbasis media interaktif menggunakan aplikasi Kahoot pada materi operasi bilangan serta evaluasi melalui pre-test dan post-test bagi kelas 5 SD Inpres Naimata. Sebanyak 19 siswa dengan rerata nilai pre test adalah 70,53 dan rerata nilai post test adalah 91,32. Hasil analisis uji t menunjukkan adanya peningkatan antara nilai rata-rata pre-test dan post-test siswa. Hal ini membuktikan penggunaan media interaktif berdampak nyata terhadap peningkatan kemampuan literasi dan numerasi serta meningkatkan motivasi belajar siswa. Dengan demikian, pembelajaran matematika berbasis media interaktif direkomendasikan sebagai salah satu strategi inovatif dalam meningkatkan kualitas pembelajaran di sekolah dasar.
Co-Authors Agustinus P. Carvallo Albert Mario Kumanireng Aplonia Dima Apolonia Bunga Tibo Babe, Sofia P. Banni, Ervin Mawo Benedikta O. Balun Brian Juned Septory Carvallo, Agustina Ph. Damianus Dao Samo Dappa, Jelita S. B. Diah Ayu Saptyaningtyas Dominggus Godlief Heryson Adoe Elisabeth Brielin Sinu Gerda K Pakem Here, Alfonsius Israel Hurit, Roberta Uron I Made S. Aryanta Indah Magfirrah Jamaludin Irvandi Gorby Pasangka Irwanius P. Muaraya Jelita S. B. Dappa Jusrry Rosalina Pahnael Karlinda De Rozaro Katarina K. Gasul Kelen, Stefanus W. Keristina Br. Ginting Kristomus Boimau Lapenangga, Ganesha Mari Lobo Maria F Muda Maria Helena K. Goma MARIA LOBO Maria Magdalena K. O. Waton Balun Maria R Jelita Marlen F. Paru Mira Wadu Muaraya, Irwanius Piter Ndii, Meksianis Z Nikmatul Ajizah Ambao Nony Lenama Paru, Marlen F. Philiphi de Rozari Philipi De Rozari Purnami, Ndaru Atmi Rima Nindia Selan Robertus D. Guntur Robertus Dole Guntur Romaito Br Silalahi Ronaldus Lahi Selung, Yosefina L. Sinu, Elisabeth B Sinu, Elisabeth B. Sinu, Elisabeth Brielin Stefanus W. Kelen Sugi, Yosep Sulche Ifone Nafi Talahatu, Anna Henny Tobe, Adi Yermia Tris Mariana Ollo Wenefrida T Ina Werang, Gabriela T. Yohanes Yordente Wete Yoseph B. Ujan Yoseph P. Ola Yoseph Sugi