Title: Analysis and simulation of modified susceptible-infected-recovered model with vaccination for COVID-19 outbreak

Authors: Teoh Yeong Kin; Rizauddin Saian; Suzanawati Abu Hasan

Addresses: Faculty of Computer and Mathematical Sciences, Universiti Teknologi MARA, Cawangan Perlis, Kampus Arau, 02600 Arau, Perlis, Malaysia ' Faculty of Computer and Mathematical Sciences, Universiti Teknologi MARA, Cawangan Perlis, Kampus Arau, 02600 Arau, Perlis, Malaysia ' Faculty of Computer and Mathematical Sciences, Universiti Teknologi MARA, Cawangan Perlis, Kampus Arau, 02600 Arau, Perlis, Malaysia

Abstract: In this paper, we develop and analyse a modified susceptible-infected-recovered (SIR) compartment model by integrating the vaccination factor as a model parameter to investigate the effect of vaccination parameter on the long-term outcomes of the COVID-19 pandemic. Mathematical analysis is used to determine the disease-free equilibrium, the endemic equilibrium, and the basic reproduction number of the developed model. The stability of the model is studied using the Routh-Hurwitz criterion, and numerical simulations are conducted to assess the impact of vaccination on the disease at different rates. The findings suggest that vaccination rate influences the transmission dynamics, and the vaccine can speed up the COVID-19 recovery and contain the outbreak.

Keywords: simulation; susceptible-infected-recovered model; vaccination; coronavirus; disease free equilibrium; endemic equilibrium; basic reproduction number; stability analysis; Routh-Hurwitz criterion.

DOI: 10.1504/IJMOR.2023.130117

International Journal of Mathematics in Operational Research, 2023 Vol.24 No.4, pp.537 - 553

Received: 23 Sep 2021
Accepted: 16 Apr 2022
Published online: 05 Apr 2023 *

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