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Stability and Numerical Solutions of Second Wave Mathematical Modeling on COVID-19 and Omicron Outbreak Strategy of Pandemic: Analytical and Error Analysis of Approximate Series Solutions by Using HPM

Author

Listed:
  • Ashwin Muniyappan

    (School of Computing Science and Engineering, VIT Bhopal University, Bhopal-Indore Highway, Sehore 466114, India)

  • Balamuralitharan Sundarappan

    (Department of Mathematics, Bharath Institute of Higher Education and Research, Chennai 600073, India)

  • Poongodi Manoharan

    (College of Science and Engineering, Hamad Bin Khalifa University, Doha 602024, Qatar)

  • Mounir Hamdi

    (College of Science and Engineering, Hamad Bin Khalifa University, Doha 602024, Qatar)

  • Kaamran Raahemifar

    (College of Information Sciences and Technology, Data Science and Artificial Intelligence Program, Penn State University, State College, PA 16801, USA
    School of Optometry and Vision Science, Faculty of Science, Department of Chemical Engineering, University of Waterloo, 200 University Ave W, Waterloo, ON N2L 3G1, Canada
    Faculty of Engineering, University of Waterloo, 200 University Ave W, Waterloo, ON N2L 3G1, Canada)

  • Sami Bourouis

    (Department of Information Technology, College of Computers and Information Technology, Taif University, P.O. Box 11099, Taif 21944, Saudi Arabia)

  • Vijayakumar Varadarajan

    (Department of Computer Science and Engineering, University of New South Wales, Sydney 56890, Australia)

Abstract

This paper deals with the mathematical modeling of the second wave of COVID-19 and verifies the current Omicron variant pandemic data in India. We also we discussed such as uniformly bounded of the system, Equilibrium analysis and basic reproduction number R 0 . We calculated the analytic solutions by HPM (homotopy perturbation method) and used Mathematica 12 software for numerical analysis up to 8th order approximation. It checked the error values of the approximation while the system has residual error, absolute error and h curve initial derivation of square error at up to 8th order approximation. The basic reproduction number ranges between 0.8454 and 2.0317 to form numerical simulation, it helps to identify the whole system fluctuations. Finally, our proposed model validated (from real life data) the highly affected five states of COVID-19 and the Omicron variant. The algorithm guidelines are used for international arrivals, with Omicron variant cases updated by the Union Health Ministry in January 2022. Right now, the third wave is underway in India, and we conclude that it may peak by the end of May 2022.

Suggested Citation

  • Ashwin Muniyappan & Balamuralitharan Sundarappan & Poongodi Manoharan & Mounir Hamdi & Kaamran Raahemifar & Sami Bourouis & Vijayakumar Varadarajan, 2022. "Stability and Numerical Solutions of Second Wave Mathematical Modeling on COVID-19 and Omicron Outbreak Strategy of Pandemic: Analytical and Error Analysis of Approximate Series Solutions by Using HPM," Mathematics, MDPI, vol. 10(3), pages 1-27, January.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:3:p:343-:d:731776
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    References listed on IDEAS

    as
    1. Fanelli, Duccio & Piazza, Francesco, 2020. "Analysis and forecast of COVID-19 spreading in China, Italy and France," Chaos, Solitons & Fractals, Elsevier, vol. 134(C).
    2. Chakraborty, Tanujit & Ghosh, Indrajit, 2020. "Real-time forecasts and risk assessment of novel coronavirus (COVID-19) cases: A data-driven analysis," Chaos, Solitons & Fractals, Elsevier, vol. 135(C).
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    Cited by:

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    2. Tamil Selvi P. & Kishore Balasubramaniam & Vidhya S. & Jayapandian N. & Ramya K. & Poongodi M. & Mounir Hamdi & Godwin Brown Tunze, 2022. "Social Network User Profiling With Multilayer Semantic Modeling Using Ego Network," International Journal of Information Technology and Web Engineering (IJITWE), IGI Global, vol. 17(1), pages 1-14, January.
    3. Dharmendra Kumar Singh Singh & Nithya N. & Rahunathan L. & Preyal Sanghavi & Ravirajsinh Sajubha Vaghela & Poongodi Manoharan & Mounir Hamdi & Godwin Brown Tunze, 2022. "Social Network Analysis for Precise Friend Suggestion for Twitter by Associating Multiple Networks Using ML," International Journal of Information Technology and Web Engineering (IJITWE), IGI Global, vol. 17(1), pages 1-11, January.

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