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Yahya, Amelia Nur
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Education Mathematics Social Sciences

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Mathematical modelling of covid-19 using health mask, vaccination, quarantine, and asymptomatic case Manaqib, Muhammad; Wijaya, Madona Yunita; Yahya, Amelia Nur
Desimal: Jurnal Matematika Vol. 7 No. 3 (2024): Desimal: Jurnal Matematika
Publisher : Universitas Islam Negeri Raden Intan Lampung

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24042/djm.v7i3.24397

Abstract

This study develops a SEIR (Susceptible, Exposed, Infectious, and Recovered) model to model the spread of COVID-19 by adding the use of health masks, vaccinations, quarantines, and asymptomatic compartments. The model is analyzed using equilibrium point stability analysis and numerical simulation. Based on the system, two equilibrium points are obtained, namely the disease-free equilibrium point and the endemic equilibrium point, and the basic reproduction number (Ro). The stability analysis of the disease-free equilibrium point will be locally asymptotically stable if Ro<1. The numerical simulation results show that the disease will disappear from the population if Ro<1  and remain in the population if Ro>1 . Based on the sensitivity analysis, parameters with significant impact are the level of awareness of individuals in using health masks, vaccination rates, contact rates with symptomatic or asymptomatic infected individuals, and quarantine rates for symptomatic infected individuals.
Co-Authors Muhammad Manaqib, Muhammad Wijaya, Madona Yunita