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DYNAMICS OF A SIRV MODEL FOR THE SPREAD OF COVID-19 IN MALUKU PROVINCE Sapulette, Nona Tjie; Lesnussa, Yopi Andry; Rijoly, Monalissa E
BAREKENG: Jurnal Ilmu Matematika dan Terapan Vol 17 No 3 (2023): BAREKENG: Journal of Mathematics and Its Applications
Publisher : PATTIMURA UNIVERSITY

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30598/barekengvol17iss3pp1673-1684

Abstract

COVID-19 (Coronavirus Disease 2019) is caused by the SARS-CoV-2 (Severe Acute Respiratory Syndrome Coronavirus 2) coronavirus spreading around the world. In this study, the SIRV model was used, which is an epidemic model carried out by grouping the population into four subpopulations, namely the subpopulation of susceptible individuals who can be infected (Susceptible), the subpopulation of infected individuals (Infected), the subpopulation of individuals who recover from illness (Recovered), and the subpopulation of individuals who have been vaccinated (Vaccination). Based on the dynamic system analysis conducted, two equilibrium points were obtained, namely the disease-free equilibrium point and the endemic equilibrium point. In addition, based on data processing and model simulation results obtained, was obtained so that it can be concluded that the higher the number of vaccinated populations, the lower the level of Covid-19 spread, which means that vaccines can suppress cases of Covid-19 spread in Maluku Province
DYNAMIC ANALYSIS OF SEITR MATHEMATICAL MODEL ON THE SPREAD OF HEPATITIS B DISEASE IN AMBON CITY Larubun, Swine Enggelina; Leleury, Zeth Arthur; Lesnussa, Yopi Andry; Tahalea, Sylvert Prian; Warong, Maria Marlein
BAREKENG: Jurnal Ilmu Matematika dan Terapan Vol 18 No 3 (2024): BAREKENG: Journal of Mathematics and Its Application
Publisher : PATTIMURA UNIVERSITY

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30598/barekengvol18iss3pp1989-2000

Abstract

Hepatitis B is a disease caused by infection with the HBV (Hepatitis B Virus) virus that commonly infects the liver and can develop into liver cancer. The disease can be transmitted through blood, semen, breast milk, saliva, vaginal fluids, and sperm. One effective way to prevent Hepatitis B disease is by vaccination. This study will construct a mathematical model, such as the SEITR model, to study the spread of Hepatitis B disease in Ambon City. The SEITR epidemic model is a disease spread model that divides the population into five subpopulation classes, namely the susceptible individual subpopulation class, the exposed individual subpopulation class, the infected individual subpopulation class, the treatment individual subpopulation class, and the recovered individual subpopulation class. Based on the dynamic system analysis conducted, two equilibrium points were obtained, namely the disease-free equilibrium point and the endemic equilibrium point. In addition, based on the data and simulation results, it can be concluded that the spread of Hepatitis B in Ambon City depends on the transmission rate from infected individuals to susceptible individuals
NUMERICAL SOLUTION OF THE SEIR MODEL USING THE FOURTH-ORDER RUNGE-KUTTA METHOD TO PREDICT THE SPREAD OF HEPATITIS B DISEASE IN AMBON CITY Papalia, Anita; Lesnussa, Yopi Andry; Rijoly, Monalisa E.; Peter, Olumuyiwa James
BAREKENG: Jurnal Ilmu Matematika dan Terapan Vol 18 No 3 (2024): BAREKENG: Journal of Mathematics and Its Application
Publisher : PATTIMURA UNIVERSITY

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30598/barekengvol18iss3pp2047-2056

Abstract

Hepatitis B is a dangerous type of hepatitis and has a high risk of death. This research aims to predict the spread of Hepatitis B in Ambon using the fourth-order Runge-Kutta method. The mathematical model for the spread of Hepatitis B takes the form of a system of differential equations that includes the variables Susceptible (S) namely the subpopulation that is susceptible to infection with the hepatitis B virus, Exposed (E), namely the subpopulation that is exposed to the hepatitis B virus when it comes into contact with the Infected (I) subpopulation, I, namely the subpopulation infected with hepatitis B and Recovered (R), namely the recovered subpopulation. The values ​​ , , , , , , , and are the parameter values ​​used to be solved numerically using the fourth order Runge Kutta method which was carried out in 20 iterations with step size h=1 using data from the Maluku Provincial Health Service and the Central Bureau of Statistics from 2013 to 2022. Hepatitis B is classified as a type of hepatitis disease that is dangerous and has a high risk of death. This study aimed to construct a model of the spread of Hepatitis B disease in Ambon City and solve the model using the fourth-order Runge-Kutta method. In the research results, it was obtained that subpopulation decreased significantly in the 20th year with a total of 299,239 people, for subpopulation increased in 18th year with a total of 4,309 people, and decreased in 20th year with a total of 4,298 people, for subpopulation subpopulation increased until 20th year with a total of 254 people, and for subpopulation subpopulation increased significantly in 20th year with a total of 10,776 people.
COMPARATIVE ANALYSIS OF NUMERICAL SOLUTIONS OF EULER, RK-4, ABM-4 AND RKCOM4 METHODS OF INITIAL VALUE PROBLEMS IN NONHOMOGENEOUS SECOND ORDER DIFFERENTIAL EQUATIONS Lesnussa, Yopi Andry; Marsudi, Marsudi
Parameter: Jurnal Matematika, Statistika dan Terapannya Vol 4 No 1 (2025): Parameter: Jurnal Matematika, Statistika dan Terapannya
Publisher : Jurusan Matematika FMIPA Universitas Pattimura

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30598/parameterv4i1pp123-140

Abstract

Non-homogeneous second-order differential equations are often used in various mathematical models in physics, engineering, and system dynamics. Numerical solutions are the main alternative when analytical solutions are difficult to obtain. This study compares the performance of the Euler, Runge-Kutta 4th order (RK-4), Adams-Bashforth-Moulton 4th order (ABM-4), and Runge-Kutta Contra Harmonic Mean 4 (RKCoM4) numerical methodsin solving initial value problems (MNAs) in non-homogeneous second-order differential equations. The analysis was carried out by comparing the numerical calculation results of each method using the Mean Absolute Error (MAE) method. The results of numerical calculations and simulations show that the RK-4 and ABM4 methods provide higher accuracy than the Euler and RKCoM4 methods for 2 cases of non-homogeneous second-order differential equations
INOVASI PEMBELAJARAN MATEMATIKA PADA SD NEGERI 230 MALUKU TENGAH BERBASIS KEARIFAN LOKAL Lesnussa, Yopi Andry; Wattimury, Welminci W; Salamahu, Leberima; Matdoan, M Y
PAKEM : Jurnal Pengabdian Kepada Masyarakat Vol 3 No 1 (2023): Pakem : Jurnal Pengabdian Kepada Masyarakat
Publisher : Universitas Pattimura

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30598/pakem.3.1.49-55

Abstract

Mathematics learning activities at SD Negeri 230 Maluku Tengah is a form of community service activity from a series of Teaching Assistance activities carried out by Pattimura University. From the results of the mathematics learning activities on 28 students in grade 5 and grade 6 at SD Negeri 230 Maluku Tengah, it was found that there was a significant increase from the pre-test results. Where the value of the post-test results is higher than the pre-test results, then according to statistics descriptive there is a difference in the average student learning outcomes before being given training (pre-test) with student learning outcomes after being given training (post-test). The test results with the pair sample test method obtained a significance value (Sig.) of 0.038 <0.05, so it can be concluded that there is a real difference (significant) in the average between the pre-test and post-test learning outcomes. Apart from that, learning materials raised from the local context also encourage and facilitate students in understanding the process of learning mathematics based on local wisdom
APLIKASI PERSAMAAN DIFERENSIAL PADA PENYEBARAN PENYAKIT BERBASIS SOFTWARE MAPLE UNTUK SISWA SMA NEGERI 3 AMBON Beay, Lazarus Kalvein; Wattimena, Abraham Zacaria; Lesnussa, Yopi Andry; Rahakbauw, Dorteus Lodewyik
PAKEM : Jurnal Pengabdian Kepada Masyarakat Vol 4 No 1 (2024): Pakem : Jurnal Pengabdian Kepada Masyarakat
Publisher : Universitas Pattimura

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30598/pakem.4.1.52-58

Abstract

Persamaan diferensial telah menjadi salah satu topik matematika yang menarik pada kemajuan ilmu pengetahuan dan teknologi. Salah satu bentuk aplikasinya, yaitu pada penyebaran penyakit menular. Pada kenyataannya, pembelajaran matematika di sekolah masih bersifat teoritis, sehingga pembelaran bermakna sulit tercapai. Materi matematika yang diberikan oleh guru sulit untuk dipahami oleh siswa karena bersifat abstrak. Hal ini mendorong pembelajaran untuk mengaplikasikan materi tentang persamaan diferensial pada kehidupan nyata di sekitar siswa. Selain itu, pesatnya kemajuan ilmu pengetahuan dan teknologi menuntut adanya kemampuan adaptasi dari siswa, guru, dan sekolah. Melalui kegiatan pengabdian ini, upaya adaptasi terhadap perkembangan ilmu pengetahuan dan teknologi dilakukan melalui peningkatkan kualitas pembelajaran pada SMA Negeri 3 Ambon. Kegiatan yang dilakukan meliputi upaya meningkatkan kemampuan siswa tentang penerapan materi persamaan differensial pada kehidupan nyata. Pada akhirnya, Software Maple digunakan untuk mendukung proses pembelajaran matematika.
Dynamics of Alcohol Consumption Model with Public Awareness and Saturated Incidence Beay, Lazarus Kalvein; Saija, Maryone; Rijoly, Monalisa E.; Lesnussa, Yopi Andry; Talakua, Mozart Winston; Ilwaru, Venn Yan Ishak
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.v1i2.14

Abstract

This article develops a mathematical model for studying the impact of public awareness and intervention strategies on alcohol consumption patterns. To protect populations from addiction, we are focusing on educational campaigns and interventions. Alcohol consumption cases decrease as the model variable awareness susceptible class is increased through awareness campaigns and interventions. The nonnegativity and boundedness of the model's solutions are analyzed. A qualitative analysis of the model's equilibrium points and the alcohol reproductive number, R0, was performed. Global stability was analyzed for alcohol consumption at the positive equilibrium point via a suitable Lyapunov function. When the alcohol reproductive number (R0) is less than one, the alcohol-free equilibrium is globally asymptotically stable; otherwise, it is unstable. Although educational campaigns protect vulnerable people, their impact on the model is substantial. The simulation shows that the intervention directly and drastically reduces the target alcoholic population.
ANALISIS KETERLIBATAN PENULIS BERDASARKAN JENIS KELAMIN DALAM PUBLIKASI JURNAL BAREKENG Maloky, Jessica Kezia; Rumaropen, Teodora Jessical; Bakarbessy, Lusye; Patty, Dyana; Lesnussa, Yopi Andry
PAKEM: Jurnal Pengabdian Kepada Masyarakat Vol 6 No 1 (2026): Pakem : Jurnal Pengabdian Kepada Masyarakat
Publisher : Universitas Pattimura

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30598/pakem.6.1.47-56

Abstract

Professional scientific journal management requires transparent, inclusive, and data-driven governance practices, including in terms of author involvement based on gender. This article aims to analyze the involvement of male and female authors in Berekeng journal publications as part of the reflection and contribution of the scientific journal management profession. The method used is quantitative descriptive analysis that analyzes the dynamics of gender participation in scientific publications during the 2007–2025 period. The results of the study show that the 2007–2018 period was significantly dominated by male authors (peaking at 84.44% in 2018). However, there was a rapid transition towards balance in 2019–2021, where female participation began to prevail (54.63% in 2021). This pattern continued in the 2023–2025 period, showing a new significant dominance by female authors (peaking at 56.45% in 2024). Overall, the total number of female authors (50.81%) slightly exceeded that of male authors (49.19%). This dramatic shift implies a fundamental change in the academic community. Specifically in the context of Mathematics, this trend is predicted to encourage diversification of research topics into Applied Mathematics and Data Science, strengthen interdisciplinary collaboration, and create a more inclusive research environment. This study concludes that gender equality efforts have fundamentally changing the landscape of publishing. These activities are expected to strengthen the capacity of journal managers in implementing data-driven management while promoting fair and sustainable scientific publishing practices as a tangible manifestation of professional dedication in the field of scientific journal management.
ANALISIS TREN KERAGAMAN PENULIS DOMESTIK DAN INTERNASIONAL PADA PUBLIKASI JURNAL BAREKENG Rahangmetan, Keizya; Pokar, Esteria; Lewaherilla, Norisca; Patty, Dyana; Lesnussa, Yopi Andry
PAKEM: Jurnal Pengabdian Kepada Masyarakat Vol 6 No 1 (2026): Pakem : Jurnal Pengabdian Kepada Masyarakat
Publisher : Universitas Pattimura

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30598/pakem.6.1.70-80

Abstract

This study was conducted as part of the Internship Program (PKL) of the Statistics Study Program, carried out in the administrative editorial management division of the BAREKENG Journal. The activities included collecting and processing publication data to support the evaluation of editorial performance and the mapping of the journal’s internationalization process. This research aims to analyze trends in the diversity of domestic and international authors in BAREKENG Journal publications during the 2007–2025 period. The data were obtained from the journal’s publication archives and processed through several stages, including author affiliation classification, grouping by publication period, and analyzing the development of domestic and international author proportions. The analysis was conducted using descriptive quantitative methods and presented in the form of trend graphs. The results show that the number of domestic authors increased significantly after 2020, reaching 864 authors in 2025. Contributions from international authors first appeared in 2021 and continued to grow, with the highest number recorded at 61 authors in 2025. These findings indicate that the BAREKENG Journal is not only growing at the national level but is also beginning to attract attention from the international academic community. This study is expected to provide an overview of the dynamics of author contributions and the journal’s position in the internationalization process, as well as serve as a basis for strengthening future journal management strategies.
Notes on 2-Normed Spaces Through Their Quotient Spaces Francis Yunito Rumlawang; Hernita Hernita; Yopi Andry Lesnussa; Harmanus Batkunde
CAUCHY: Jurnal Matematika Murni dan Aplikasi Vol 10, No 2 (2025): CAUCHY: JURNAL MATEMATIKA MURNI DAN APLIKASI
Publisher : Mathematics Department, Maulana Malik Ibrahim State Islamic University of Malang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.18860/cauchy.v10i2.35824

Abstract

In this paper, we defined new norms in 2-normed spaces derived from the 2-norm with respect to its quotient spaces. Moreover, these norms were used to observe some aspects of 2-normed spaces namely, a Convergent sequence, a Cauchy sequence, completeness, a closed set, and a bounded set. Furthermore, we used these aspects to prove the Fixed-Point Theorem in a 2-Banach Space.
Co-Authors Abdul Malik Balami Abraham Z Wattimena Abraham Z. Wattimena Abraham Zakaria Wattimena Abraham Zakharia Wattimena Abrahams, H. Apituley, Fredrylo Alberth Noel Joddy Astrid A Titahena Astrid G. Heumasse Aulele, Salmon Notje Batkunde, Harmanus Beay, Lazarus Kalvein C. G. Mustamu Charlita Fhilya Chrisani Waas Citra Fathia Palembang D Patty D. L. Rahakbauw Damani, Nur Mila Dewi Ls E R Persulessy E. R. Persulessy Elvinus P. Persulessy Endro Risamasu F. Kondo Lembang Fauzan Samallo Fhilya, Charlitta Filiany S. Tutupary H. Kelian H. Lellolsima H. W. M. Patty Harmanus Batkunde Hayoto, Sasmita Hernita Hernita Hukubun, V Idah, Mus Rika Ilwaru, Venn Y. I. Ilwaru, Venn Yan Ishak Jefri Esna Thomas Radjabaycolle Johan Bruiyf Bension Julianty Madiuw Lakotany, Jemsry E. Larubun, Swine Enggelina Latumeten, Ralf Leleury, Zeth A. Lewaherilla, Norisca Lexy Jansen Sinay Lusye Bakarbessy M. S. Noya Van Delsen M. W. Talakua M. W. Talakua Madiuw, Julianty Maloky, Jessica Kezia Marlon Stivo Noya van Delzen Marsudi Marsudi Matdoan, M Y Mozart W. Talakua Muhammad Y. Matdoan Muhammad Yahya Matdoan Muhammad Yahya Matdoan Munahaji Lukaraja Mus Rika Idah Nanang Ondi Natasian, Nehemia Trianto Noya van Delsen, Marlon S. Nurhidayah Nurhidayah Ojo, Mayowa Micheal Ondi, Nanang Papalia, Anita Patty, Dyana Patty, Henry Willyam Michel Persulessy, Elvinus R. Peter, Olumuyiwa James Pokar, Esteria R. J. Djami Rahakbauw, Dorteus L. RAHAKBAUW, DORTEUS LODEWYIK Rahangmetan, Keizya Rijoly, Monalisa E Rijoly, Monalisa E. Rijoly, Monalissa E Ronald John Djami Rumaropen, Teodora Jessical Rumlawang, F Y Rumlawang, Francis Y RUMLAWANG, FRANCIS YUNITO Sahusilawane, Maria Engeline Saija, Maryone Salamahu, Leberima Sapulette, Nona Tjie Set Sasake Sinay, Lexy Jansen Stevanny Tamaela Subchan Subchan Sumah, Tesa Tahalea, Sylvert Prian Talakua, Mozart W. Talakua, Mozart Winston Tamaela, Stevanny Tentua, Jesica Tomasouw, Berny Pebo Umi Sari Rumata Venn Y.I. Ilwaru Vynska Amalia Permadi Waas, Rethalina Warong, Maria Marlein Wattimena, Abraham Zacaria Wattimury, Welminci W Yulia S. Kakisina Zakheus Putlely Zeth Arthur Leleury, Zeth Arthur