Analysis and simulation of modified susceptible-infected-recovered model with vaccination for COVID-19 outbreak
by Teoh Yeong Kin; Rizauddin Saian; Suzanawati Abu Hasan
International Journal of Mathematics in Operational Research (IJMOR), Vol. 24, No. 4, 2023

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.

Online publication date: Wed, 05-Apr-2023

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