A SEIR Model of Covid-19 to Study the Effect of Vaccination

  • Unique Paper ID: 165880
  • Volume: 11
  • Issue: 1
  • PageNo: 2277-2286
  • Abstract:
  • In this work, we analyse and suggest a generalized mathematical model to comprehend the effects of vaccination on COVID-19 transmission. Susceptible (S), vaccinated (V), exposed (E), symptomatically infected (Is), asymptomatically infected (Ia), quarantined (Q), and recovered (R), are the seven compartmental classifications introduced. Using the next-generation matrix technique, the fundamental reproduction number (abbreviated R0) of the suggested model was calculated. The findings indicate that the disease-free equilibrium (DFE) is globally asymptotically stable for R0 < 1. The model’s mathematical analysis is bolstered by computational modelling. Furthermore, the numerical outcomes demonstrate that proper implementation of vaccination would contribute significantly to limiting the COVID-19 epidemic or any pandemic situation.

Copyright & License

Copyright © 2025 Authors retain the copyright of this article. This article is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

BibTeX

@article{165880,
        author = {Shraddha Malviya and Sarla Chouhan and Souvik Kundu and Ramakant Bhardwaj},
        title = {A SEIR Model of Covid-19 to Study the Effect of Vaccination},
        journal = {International Journal of Innovative Research in Technology},
        year = {2024},
        volume = {11},
        number = {1},
        pages = {2277-2286},
        issn = {2349-6002},
        url = {https://ijirt.org/article?manuscript=165880},
        abstract = {In this work, we analyse and suggest a generalized mathematical model to comprehend the effects of vaccination on COVID-19 transmission. Susceptible (S), vaccinated (V), exposed (E), symptomatically infected (Is), asymptomatically infected (Ia), quarantined (Q), and recovered (R), are the seven compartmental classifications introduced. Using the next-generation matrix technique, the fundamental reproduction number (abbreviated R0) of the suggested model was calculated. The findings indicate that the disease-free equilibrium (DFE) is globally asymptotically stable for R0 < 1. The model’s mathematical analysis is bolstered by computational modelling. Furthermore, the numerical outcomes demonstrate that proper implementation of vaccination would contribute significantly to limiting the COVID-19 epidemic or any pandemic situation.},
        keywords = {Covid-19 Pandemic, Mathematical Modelling, SEIR Model, Vaccination.},
        month = {June},
        }

Cite This Article

  • ISSN: 2349-6002
  • Volume: 11
  • Issue: 1
  • PageNo: 2277-2286

A SEIR Model of Covid-19 to Study the Effect of Vaccination

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