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Journal : Faktor Exacta

GRAF PENDULUM DENGAN PELABELAN GRACEFUL SUPER FIBONACCI Rifki Ristiawan
Faktor Exacta Vol 12, No 1 (2019)
Publisher : LPPM

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30998/faktorexacta.v12i1.3365

Abstract

Telah diterbitkan beberapa makalah yang terkait dengan pelabelan graf dengan menggunakan pelabelan Graceful Fibonacci maupun Graceful Super Fibonacci. Kathiresan dan Amutha mengemukakan ide mengenai pelabelan graceful Fibonacci dan pelabelan graceful Super Fibonacci sebagai fungsi  (dimana adalah bilangan Fibonacci ke- ) dikatakan Fibonacci graceful jika  yang didefinisikan dengan  bersifat bijektif. Dan suatu fungsi  (dimana adalah bilangan Fibonacci ke- )disebut Super Fibonacci Graceful jika pelabelan busur  yang didefinisikan dengan  bersifat bijektif. Pada makalah ini diperkenalkan graf  Pendulum, dan pelabelan graf tersebut dengan menggunakan pelabelan Super Fibonacci.
Model Matematika pada Penyebaran Penyakit Covid-19 dengan Pengaruh Vaksinasi di DKI Jakarta Rifki DIRJA Ristiawan; Annisa Ulya Solihah
Faktor Exacta Vol 15, No 4 (2022)
Publisher : LPPM

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30998/faktorexacta.v15i4.14114

Abstract

Coronavirus Disease 2019 or Covid-19 is a disease caused by a coronavirus that attacks the respiratory tract causing high fever, cough, flu, shortness of breath, and sore throat. To see the spread of Covid-19 with the effect of vaccination in DKI Jakarta, this study developed the SIR epidemic model into SVIR by adding a population of vaccinated individuals to prevent the spread of Covid-19. This model assumes that individuals are given the vaccine until the second dose. Individuals vaccinated for two doses can still be infected with Covid-19 if they interact with individuals infected with Covid-19. The population is divided into four classes: the vulnerable individual class, the vaccinated individual class, the Covid-19 infected individual class, and the recovered individual class. Construction of the models starts by making a flow chart of the spread of Covid-19 with the effect of vaccination. This model obtains two equilibrium points, namely the disease-free equilibrium  point and the endemic equilibrium point . Analysis of the system's stability around the equilibrium point gives the primary reproduction number . From the analysis results, the system around the disease-free equilibrium point is  locally asymptotically stable when . Then a numerical simulation is carried out to provide a geometric picture related to the results that have been analyzed. The simulation results show that when conditions  occur, the disease will disappear, and under conditions , the disease will become epidemic. To prevent the spread of Covid-19, efforts can be made to reduce direct contact with infected individuals, implement health protocols and increase the proportion of vaccinated individuals.
Analisis Model Matematika dan Simulasi Pada Penyebaran Hepatitis Non HepA-E Akut di Indonesia Ristiawan, Rifki; Wahyudi, Farrell; Selvia, Noni
Faktor Exacta Vol 16, No 4 (2023)
Publisher : LPPM

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30998/faktorexacta.v16i4.19670

Abstract