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

Ibtehal Alazman1, Kholoud Saad Albalawi1, Pranay Goswami2,*, 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: 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

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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APA Style
Alazman, I., Albalawi, K.S., Goswami, P., Malik, K. (2023). A restricted SIR model with vaccination effect for the epidemic outbreaks concerning COVID-19. Computer Modeling in Engineering & Sciences, 137(3), 2409-2425. https://doi.org/10.32604/cmes.2023.028674
Vancouver Style
Alazman I, Albalawi KS, Goswami P, Malik K. A restricted SIR model with vaccination effect for the epidemic outbreaks concerning COVID-19. Comput Model Eng Sci. 2023;137(3):2409-2425 https://doi.org/10.32604/cmes.2023.028674
IEEE Style
I. Alazman, K.S. Albalawi, P. Goswami, and K. Malik "A Restricted SIR Model with Vaccination Effect for the Epidemic Outbreaks Concerning COVID-19," Comput. Model. Eng. Sci., vol. 137, no. 3, pp. 2409-2425. 2023. https://doi.org/10.32604/cmes.2023.028674



cc This work is licensed under a Creative Commons Attribution 4.0 International License , which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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