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Mathematical Model of COVID-19 Spread with Vaccination in Mataram City

Authors :
Muhammad Putra Sani Hattamurrahman
Paian Sianturi
Hadi Sumarno
Source :
JTAM (Jurnal Teori dan Aplikasi Matematika), Vol 8, Iss 4, Pp 1067-1081 (2024)
Publication Year :
2024
Publisher :
Universitas Muhammadiyah Mataram, 2024.

Abstract

The COVID-19 pandemic has had a significant impact on public health worldwide.. Mathematical modeling is considered an alternative tool for understanding real-life problems, including the dynamics of COVID-19 spread. This is an applied research that purpose adds vaccination to Zeb et al. (2020) SEIQR model of COVID-19 spread and examines the dynamic of COVID-19 spread in Mataram City. First, we construct the new model by making assumptions. The fixed point and basic reproduction number (R_0 ) are then used to analyze the model using the next-generation matrix method. The next-generation matrix method is utilized to estimate the R_0 in a compartmental disease model. Two fixed points are acquired, specifically the disease-free fixed point, which is locally asymptotically stable under the condition R_01 indicated by Lyapunov function. The population dynamics when R_01 can also be observed through numerical simulation. The results of a numerical simulation indicate that giving the proportion of number vaccinated 62 per cent is effective in suppressing the number of infections.

Details

Language :
English, Indonesian
ISSN :
25977512 and 26141175
Volume :
8
Issue :
4
Database :
Directory of Open Access Journals
Journal :
JTAM (Jurnal Teori dan Aplikasi Matematika)
Publication Type :
Academic Journal
Accession number :
edsdoj.1a0b011101be49b89f6d63d2facdba00
Document Type :
article
Full Text :
https://doi.org/10.31764/jtam.v8i4.23113