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Global stability and sensitivity analysis of parameters of Omicron variant epidemic in diverse susceptible classes incorporating vaccination stages

  • Algebraic and Analytical Methods in Soft Computing
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Abstract

In this study, a mathematical Omicron model has been studied in view of the densities of a susceptible population without a vaccine, with the first dose of vaccine, with the second dose of vaccine and with a booster dose of vaccine respectively, at the time t. The impact of the Omicron variant virus reservoir has been analysed. The basic reproduction number (\(R_0\)) of the system at the disease-free equilibrium for all positive parameters has been discussed. An analysis of local and global stability under various conditions at disease-free and endemic equilibrium points has been conducted. The sensitivity analysis is performed and the most sensitive parameter of the system is identified. On the basis of the effect of various parameters on the system, we perform numerical simulation of the Omicron variant system in Indian population.

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All data included in this manuscript are available upon request by contacting with the corresponding author.

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Acknowledgements

The authors extend their appreciation to the Prince Sattam bin Abdulaziz University for supported this study. The authors also would like to thank the Editor and anonymous Reviewers for their useful suggestions and comments which further enhanced this work.

Funding

This study is supported via funding from Prince Sattam bin Abdulaziz University project number (PSAU/2023/R/1444).

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Authors and Affiliations

  1. Department of Mathematics, National Institute of Technology Puducherry, Karaikal, 609609, India

    R. Prem Kumar & G. S. Mahapatra

  2. Department of Mathematics, Avvaiyar Government College for Women, Karaikal, Puducherry, 609602, India

    R. Prem Kumar

  3. Department of Mathematics, Arignar Anna Government Arts and Science College, Karaikal, Puducherry, 609605, India

    Sanjoy Basu

  4. Dr. Kalaignar M. Karunanidhi Government Institute for P.G. Studies and Research, Karaikal, Puducherry, 609605, India

    Sanjoy Basu

  5. Maulana Abul Kalam Azad University of Technology, Kolkata, 700064, India

    P. K. Santra

  6. Department of Mathematics, College of Science and Humanities, Prince Sattam Bin Abdulaziz University, Al-Kharj, 11942, Saudi Arabia

    Abdelalim A. Elsadany & Amr Elsonbaty

  7. Department of Basic Science, Faculty of Computers and Informatics, Suez Canal University, Ismailia, 41522, Egypt

    Abdelalim A. Elsadany

  8. Department of Engineering Mathematics and Physics, Faculty of Engineering, Mansoura University, Mansoura, 35516, Egypt

    Amr Elsonbaty

  9. Department of Statistics and Operations Research, College of Science, King Saud University, P.O. Box 2455, Riyadh, 11451, Saudi Arabia

    A. Al-khedhairi

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  1. R. Prem Kumar
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Correspondence to Abdelalim A. Elsadany.

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Prem Kumar, R., Basu, S., Santra, P.K. et al. Global stability and sensitivity analysis of parameters of Omicron variant epidemic in diverse susceptible classes incorporating vaccination stages. Soft Comput 28, 4689–4713 (2024). https://doi.org/10.1007/s00500-023-09170-0

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