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All Journal BAREKENG: Jurnal Ilmu Matematika dan Terapan Tensor: Pure and Applied Mathematics Journal PENGAMATAN: Jurnal Pengabdian Masyarakat untuk Ilmu MIPA dan Terapannya
Rumlawang, Francis Y.
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Agriculture, Biological Sciences & Forestry Chemical Engineering, Chemistry & Bioengineering Computer Science & IT Control & Systems Engineering Economics, Econometrics & Finance Energy Engineering Mathematics Mechanical Engineering Physics Transportation

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Journal : Tensor: Pure and Applied Mathematics Journal

 1 
Solusi Numerik Model Penyebaran Virus Covid-19 Dengan Vaksinasi Menggunakan Metode Runge-Kutta Fehlbrg Orde Lima Pada Provinsi Maluku Rijoly, Monalisa E.; Rumlawang, Francis Y.; Maurits, Stefalya
Tensor: Pure and Applied Mathematics Journal Vol 4 No 2 (2023): Tensor: Pure and Applied Mathematics Journal
Publisher : Department of Mathematics, Faculty of Mathematics and Natural Sciences, Pattimura University, Ambon, Indonesia

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30598/tensorvol4iss2pp93-104

Abstract

COVID-19 is a new type of disease that has never been identified in humans before. The virus that causes COVID-19 is called Servere Acute Respiratory Syndrome Coronavirus-2 (Sars-Cov-2). The purpose of this study is to predict the spread of the COVID-19 virus by vaccination in Maluku Province in the next 20 months. The mathematical model used in this study is SEIRV with five sub-populations. Susceptible sub population (S), patient under surveillance (PDP)/Exposed sub population (E), Infected (I), Recovered (R), and Vaccinated (V) sub population as initial values S0 =190.295, E0=261, R0=172, and V0=7.693. Furthermore, numerical model simulations using the fifth order Runge-Kutta Fehlberg method over the next 20 months are for the susceptible sub population (S) of 693 people, for the Patient Under Monitoring sub population (PDP) (E) of 101 people, for the sub population infected (I) of 301 people, for the rate of recovery population (R) of 704 people and for the vaccinated sub population (V) of 16,951 so that it can be concluded that the sub population (V) has effectiveness because the susceptible sub population (S) decreases so that vaccination can be a solution to prevent the spread of the COVID-19 virus in Maluku Province within the next 20 months.
The Rainbow Vertex Connection Number of Some Amalgamation of Two Cycles Taihuttu, Pranaya D. M.; Tilukay, Meilin I.; Rumlawang, Francis Y.; Wattimena, E. M. C.
Tensor: Pure and Applied Mathematics Journal Vol 6 No 2 (2025): Tensor: Pure and Applied Mathematics Journal
Publisher : Department of Mathematics, Faculty of Mathematics and Natural Sciences, Pattimura University, Ambon, Indonesia

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30598/tensorvol6iss1pp57-66

Abstract

This paper focuses on rainbow vertex coloring in a graph G, in which, for every two vertices in G, there exists a rainbow vertex path where all internal vertices have distinct colors. The rainbow vertex connection number of G, denoted by rvc(G), is the minimum number of colors required to make G rainbow-vertex connected. In this paper, we determine the rainbow vertex connection number of some amalgamation of two cycles.
Pemodelan Sistem Antrian Pelayanan BPJS (Badan Penyelenggara Jaminan Sosial) Menggunakan Petri Net dan Aljabar Max-Plus Simbolon, Yohana L.; Rumlawang, Francis Y.; Dahoklory, Novita; Patty, Henry W. M.; Taihuttu, Pranaya D. M.; Wattimena, Abraham Z. Wattimena
Tensor: Pure and Applied Mathematics Journal Vol 6 No 2 (2025): Vol 6 No 2 (2025): Tensor: Pure and Applied Mathematics Journal
Publisher : Department of Mathematics, Faculty of Mathematics and Natural Sciences, Pattimura University, Ambon, Indonesia

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30598/tensorvol6iss2pp75-86

Abstract

Hospitals are one of the health facilities that serve patients with various types of services, including BPJS patients. Like other hospitals, the queue system is a challenge in service management, especially in outpatient services. The imbalance between the number of patients coming and the service capacity can cause long waiting times. In this study, outpatient queue modeling was carried out at Leimena General Hospital, Ambon, using Petri Net to describe the service flow, and Max-Plus algebraic analysis was applied to estimate patient waiting times more accurately. The simulation results showed that increasing the number of resources, such as adding registration counters and doctors in the laboratory, was able to significantly reduce patient waiting times at various stages of service, especially in the pharmacy. This modeling shows that the Petri Net and Max-Plus approaches are not only effective in mapping the queue system, but can also be used as a basis for decision making in optimizing hospital services. This study is expected to be a reference for hospitals in improving service efficiency and for further researchers to develop more complex models by considering additional relevant variables.
Co-Authors Batkunde, Harimanus Batkunde, Harmanus H. W. M. Patty Halim, Christian Kafara, Zaenab Loklomin, Samsul B. Maurits, Stefalya Meilin Imelda Tilukay Nanlohy, Mario I. Novita Dahoklory Patty, Dyana Rijoly, Monalisa E. Simbolon, Yohana L. Sinay, Lexy J. Taihuttu, Pranaya D. M. Toamain, Adela S. Tomasouw, Berny P. Wattimena, Abraham Z. Wattimena Wattimena, E. M. C.