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All Journal Natural Science: Journal of Science and Technology Jurnal Matematika CAUCHY: Jurnal Matematika Murni dan Aplikasi JPPM (JURNAL PENELITIAN DAN PEMBELAJARAN MATEMATIKA) Journal of Mathematics and Mathematics Education (JMME) Range : Jurnal Pendidikan Matematika Jambura Journal of Biomathematics (JJBM) Jurnal Diferensial Euler : Jurnal Ilmiah Matematika, Sains dan Teknologi Journal of Innovation Research and Knowledge Jurnal Pengabdian Kepada Masyarakat (JPKM) Jurnal Matematika Integratif Jurnal Lembaga Pengabdian Kepada Masyarakat Undana
MARIA LOBO
Program Studi Matematika, Fakultas Sains Dan Teknik, Universitas Nusa Cendana
Agriculture, Biological Sciences & Forestry Humanities Computer Science & IT Control & Systems Engineering Decision Sciences, Operations Research & Management Economics, Econometrics & Finance Education Electrical & Electronics Engineering Engineering Health Professions Law, Crime, Criminology & Criminal Justice Mathematics Mechanical Engineering Public Health Social Sciences Transportation Other

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Mathematical Models of Human Papillomavirus Transmission with Vaccination Lobo, Maria; Machado, Maria; Asa, Waltrudis Adelia
CAUCHY: Jurnal Matematika Murni dan Aplikasi Vol 9, No 1 (2024): CAUCHY: JURNAL MATEMATIKA MURNI DAN APLIKASI
Publisher : Mathematics Department, Universitas Islam Negeri Maulana Malik Ibrahim Malang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.18860/ca.v9i1.25922

Abstract

The human papillomavirus (HPV) is one of the viruses that can cause cervical cancer. However, vaccination can prevent such a virus. The spread of the virus in cervical cancer can be modelled in the SI model, however, such a model has not produced accurate results. The development and extension of the model into S1S2IRC, with S1 denoting the population aged 0–10 years and S2 representing the population over 10 years, which is susceptible to HPV infection. The results produce disease-free and endemic equilibrium points. The analysis of the equilibrium points yields that the disease-free equilibrium point will be asymptotically stable for R0 1 and R0 1 for the endemic equilibrium point. The results indicate that the higher the probability of humans being prone to the HPV virus, the greater the chance of these individuals being infected by the virus. Therefore, vaccination is required to protect against the virus infection.   
ANALISIS REGRESI DATA PANEL TERHADAP FAKTOR-FAKTOR YANG MEMPENGARUHI UMUR HARAPAN HIDUP DI PROVINSI NUSA TENGGARA TIMUR Guntur, Robertus Dole; Lobo, Maria; Atti, Astri; Cindy Andini, Priscilia; Kusumaningrum, Damai
Journal of Innovation Research and Knowledge Vol. 5 No. 6 (2025): Nopember 2025
Publisher : Bajang Institute

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.53625/jirk.v5i6.11720

Abstract

Umur harapan hidup (UHH) adalah rata-rata lamanya hidup yang dapat ditempuh seseorang sejak lahir. UHH di Provinsi Nusa Tenggara Timur (NTT) hanya sekitar 68 tahun yang lebih rendah dari rata-rata nasional yaitu 72 tahun. Penelitian ini bertujuan untuk memodelkan dan mengetahui faktor-faktor yang mempengaruhi umur harapan hidup di Provinsi NTT dengan menggunakan analisis regresi data panel. Data yang digunakan dalam penelitian ini adalah data umur yang harapan hidup serta faktor-faktor yang diduga mempengaruhinya yang bersumber dari publikasi Badan Pusat Statistik Provinsi NTT dari tahun 2018 sampai tahun 2022. Variabel dependen yang digunakan dalam penelitian ini adalah umur harapan hidup (Y), sedangkan variabel independen yang digunakan adalah pengeluaran perkapita , rata-rata lama sekolah ), akses air minum layak , akses sanitasi layak dan penduduk miskin . Hasil dalam penelitian ini menunjukkan bahwa fixed effect model variasi antar individu dan waktu menjadi model terbaik dalam memodelkan faktor-faktor yang mempengaruhi umur harapan hidup di Provinsi NTT. Faktor persentasi akses sanitasi layak ( menjadi faktor yang paling berpengaruh terhadap umur harapan hidup di Provinsi NTT dengan nilai koefisien determinasi ( sebesar 99,76%. Diharapkan pemerintah Provinsi NTT meningkatan cakupan akses sanitasi layak di masyarakat agar mendukung peningkatan UHH di provinsi kepulauan ini.
Analysis of Difficulty Level on The Topic Line and Angle Kleden, Maria Agustina; Lobo, Maria; Lapenangga, Ganesha; Sugi, Yosep
Journal of Mathematics and Mathematics Education Vol 10, No 1 (2020): Journal of Mathematics and Mathematics Education (JMME)
Publisher : Universitas Sebelas Maret

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.20961/jmme.v10i1.42431

Abstract

A study on the level of difficulty of the mathematics subject has been carried out inthe Junior High Schools Aroun the City of Kupang. The samples were taken purposively among year 8 students and their mathematics teachers in the second semester from 8 public schools and 5 private schools. The number of samples was 659 students and 33 teachers. The analysis was conducted on the topics of Comparison, Aritmatic, Lines and Angles and Triangles and Quadrilateral Shapes. The study shows that the most challenging mathematic topics for the year 8 students in the City of Kupang is Lines and Angles followed by the calculation of area of irregular plane shapes particularly on pentagon forms
Penerapan Konsep Matematika dalam Pengelolaan Keuangan Rumah Tangga di Desa Penfui Timur Jusrry Rosalina Pahnael; Robertus Dole Guntur; Maria Lobo; Maria Agustina Kleden; Astri Atti; Mira Wadu; Brian Juned Septory; Sulche Ifone Nafi
Jurnal Pengabdian Kepada Masyarakat Undana Vol 19 No 1 (2025): JUNI 2025
Publisher : Lembaga Penelitian dan Pengabdian Kepada Masyarakat Universitas Nusa Cendana

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.35508/jpkmlppm.v19i1.18757

Abstract

Abstract Women in Penfui Timur Village as household financial managers mostly only depend on their husband's income which has been used or deducted by the Bank or cooperative because it is used to build a house or other business. However, some of them lack creativity in increasing other income or investing their husband's money in the form of small businesses or investments. Therefore, mathematics lecturers in collaboration with economics lecturers will provide enlightenment in the form of delivering materials and exercises and sharing experiences in terms of managing household finances fairly, wisely, and creatively innovatively. Our hope is that after receiving learning and sharing experiences from competent lecturers in mathematics and economics, women in Penfui Timur Village will be strengthened and have ideas in managing household finances efficiently and fairly and be creative in building alternative household businesses that of course see the market share to improve the economy in the home. With the aim that no family is lacking in material so that the next generation of the nation can go to school and have creativity with good nutritional value in order to achieve intelligence for all Indonesian people because they have parents who are diligent, creative, fair and wise in managing finances as a whole. Keywords: Mathematical concepts, Finance, Household, Creative, Entrepreneurship
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.
Co-Authors Albert Mario Kumanireng Apolonia Bunga Tibo Asa, Waltrudis Adelia Banni, Ervin Mawo Brian Juned Septory Cindy Andini, Priscilia Damai Kusumaningrum, Damai Elisabeth Brielin Sinu Elisabeth Brielin Sinu Esther Y Bunga Farly Oktriany Haning Hurint, Roberta U Jusrry R Pahnael Jusrry Rosalina Pahnael Lapenangga, Ganesha M. Maths Machado, Maria Maria Agustina Kleden Meksianis Z. Ndii Mira Wadu N. WIDANA Ndii, Meksianis Z Rapmaida M. Pangaribuan Robertus Dole Guntur Suci Rahmawati Sugi, Yosep Sulche Ifone Nafi Tris Mariana Ollo Yohanes Yordente Wete