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Banach contraction method for solving the epidemic model with constant vaccination / Mat Salim Selamat … [et al.]

In this study, we employed the Runge-Kutta Fourth Order (RK4) method and the Banach Contraction Method (BCM) to simulate an epidemiological model with constant vaccination, utilizing parameters and initial conditions established according to Fauzi et al. (2021). The solutions for susceptible (S), in...

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Main Authors: Selamat, Mat Salim, Zi, Nur Afiqah, Ahmazi, Nurul Nadira, Khairudin, Ruwaidah
Format: Article
Language:English
Published: Universiti Teknologi MARA, Negeri Sembilan 2024
Subjects:
QA Mathematics
Online Access:https://ir.uitm.edu.my/id/eprint/98111/1/98111.pdf
https://ir.uitm.edu.my/id/eprint/98111/
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spelling my.uitm.ir.981112024-08-22T17:44:37Z https://ir.uitm.edu.my/id/eprint/98111/ Banach contraction method for solving the epidemic model with constant vaccination / Mat Salim Selamat … [et al.] Selamat, Mat Salim Zi, Nur Afiqah Ahmazi, Nurul Nadira Khairudin, Ruwaidah QA Mathematics In this study, we employed the Runge-Kutta Fourth Order (RK4) method and the Banach Contraction Method (BCM) to simulate an epidemiological model with constant vaccination, utilizing parameters and initial conditions established according to Fauzi et al. (2021). The solutions for susceptible (S), infected (I), and recovered (R) individuals were obtained and compared between RK4 and BCM over a time range of 0 to 2. Although an exact solution reference was unavailable, our comparative analysis revealed consistent results between RK4 and BCM at the initial time steps for all variables. However, as time progressed, minor differences emerged between the solutions obtained from RK4 and BCM, albeit these differences were relatively small. While the variations observed may not be significant in magnitude, they underscore the importance of selecting appropriate numerical techniques in epidemiological modeling to ensure accurate predictions over time. Universiti Teknologi MARA, Negeri Sembilan 2024-05 Article PeerReviewed text en https://ir.uitm.edu.my/id/eprint/98111/1/98111.pdf Banach contraction method for solving the epidemic model with constant vaccination / Mat Salim Selamat … [et al.]. (2024) Journal of Exploratory Mathematical Undergraduate Research (JEMUR) <https://ir.uitm.edu.my/view/publication/Journal_of_Exploratory_Mathematical_Undergraduate_Research_=28JEMUR=29/>. ISSN 3030-5411
institution Universiti Teknologi Mara
building Tun Abdul Razak Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Teknologi Mara
content_source UiTM Institutional Repository
url_provider http://ir.uitm.edu.my/
language English
topic QA Mathematics
spellingShingle QA Mathematics
Selamat, Mat Salim
Zi, Nur Afiqah
Ahmazi, Nurul Nadira
Khairudin, Ruwaidah
Banach contraction method for solving the epidemic model with constant vaccination / Mat Salim Selamat … [et al.]
description In this study, we employed the Runge-Kutta Fourth Order (RK4) method and the Banach Contraction Method (BCM) to simulate an epidemiological model with constant vaccination, utilizing parameters and initial conditions established according to Fauzi et al. (2021). The solutions for susceptible (S), infected (I), and recovered (R) individuals were obtained and compared between RK4 and BCM over a time range of 0 to 2. Although an exact solution reference was unavailable, our comparative analysis revealed consistent results between RK4 and BCM at the initial time steps for all variables. However, as time progressed, minor differences emerged between the solutions obtained from RK4 and BCM, albeit these differences were relatively small. While the variations observed may not be significant in magnitude, they underscore the importance of selecting appropriate numerical techniques in epidemiological modeling to ensure accurate predictions over time.
format Article
author Selamat, Mat Salim
Zi, Nur Afiqah
Ahmazi, Nurul Nadira
Khairudin, Ruwaidah
author_facet Selamat, Mat Salim
Zi, Nur Afiqah
Ahmazi, Nurul Nadira
Khairudin, Ruwaidah
author_sort Selamat, Mat Salim
title Banach contraction method for solving the epidemic model with constant vaccination / Mat Salim Selamat … [et al.]
title_short Banach contraction method for solving the epidemic model with constant vaccination / Mat Salim Selamat … [et al.]
title_full Banach contraction method for solving the epidemic model with constant vaccination / Mat Salim Selamat … [et al.]
title_fullStr Banach contraction method for solving the epidemic model with constant vaccination / Mat Salim Selamat … [et al.]
title_full_unstemmed Banach contraction method for solving the epidemic model with constant vaccination / Mat Salim Selamat … [et al.]
title_sort banach contraction method for solving the epidemic model with constant vaccination / mat salim selamat … [et al.]
publisher Universiti Teknologi MARA, Negeri Sembilan
publishDate 2024
url https://ir.uitm.edu.my/id/eprint/98111/1/98111.pdf
https://ir.uitm.edu.my/id/eprint/98111/
_version_ 1808976018301517824
score 13.211869

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