Open Access

ARTICLE

A Restricted SIR Model with Vaccination Effect for the Epidemic Outbreaks Concerning COVID-19

Ibtehal Alazman¹, Kholoud Saad Albalawi¹, Pranay Goswami^2,*, Kuldeep Malik²

1 Department of Mathematics and Statistics, College of Science, Imam Mohammad Ibn Saud Islamic University, Riyadh, 11566, Saudi Arabia
2 School of Liberal Studies, Dr. B. R. Ambedkar University Delhi, Delhi, 110006, India

* Corresponding Author: Pranay Goswami. Email:

(This article belongs to the Special Issue: Recent Developments on Computational Biology-I)

Computer Modeling in Engineering & Sciences 2023, 137(3), 2409-2425. https://doi.org/10.32604/cmes.2023.028674

Received 31 December 2022; Accepted 09 March 2023; Issue published 03 August 2023

Abstract

This paper presents a restricted SIR mathematical model to analyze the evolution of a contagious infectious disease outbreak (COVID-19) using available data. The new model focuses on two main concepts: first, it can present multiple waves of the disease, and second, it analyzes how far an infection can be eradicated with the help of vaccination. The stability analysis of the equilibrium points for the suggested model is initially investigated by identifying the matching equilibrium points and examining their stability. The basic reproduction number is calculated, and the positivity of the solutions is established. Numerical simulations are performed to determine if it is multipeak and evaluate vaccination’s effects. In addition, the proposed model is compared to the literature already published and the effectiveness of vaccination has been recorded.

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Keywords

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