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
<p dir="ltr">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 R0. We calcula...
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2022
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| _version_ | 1864513505705590784 |
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| author | Ashwin Muniyappan (19570051) |
| author2 | Balamuralitharan Sundarappan (19570054) Poongodi Manoharan (17727687) Mounir Hamdi (14150652) Kaamran Raahemifar (707645) Sami Bourouis (18394812) Vijayakumar Varadarajan (13518823) |
| author2_role | author author author author author author |
| author_facet | Ashwin Muniyappan (19570051) Balamuralitharan Sundarappan (19570054) Poongodi Manoharan (17727687) Mounir Hamdi (14150652) Kaamran Raahemifar (707645) Sami Bourouis (18394812) Vijayakumar Varadarajan (13518823) |
| author_role | author |
| dc.creator.none.fl_str_mv | Ashwin Muniyappan (19570051) Balamuralitharan Sundarappan (19570054) Poongodi Manoharan (17727687) Mounir Hamdi (14150652) Kaamran Raahemifar (707645) Sami Bourouis (18394812) Vijayakumar Varadarajan (13518823) |
| dc.date.none.fl_str_mv | 2022-01-24T09:00:00Z |
| dc.identifier.none.fl_str_mv | 10.3390/math10030343 |
| dc.relation.none.fl_str_mv | https://figshare.com/articles/journal_contribution/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/26976502 |
| dc.rights.none.fl_str_mv | CC BY 4.0 info:eu-repo/semantics/openAccess |
| dc.subject.none.fl_str_mv | Health sciences Epidemiology Public health Mathematical sciences Numerical and computational mathematics COVID-19 omicron variant pandemic HPM stability and numerical analysis error analysis |
| dc.title.none.fl_str_mv | 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 |
| dc.type.none.fl_str_mv | Text Journal contribution info:eu-repo/semantics/publishedVersion text contribution to journal |
| description | <p dir="ltr">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 R0. 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.</p><h2>Other Information</h2><p dir="ltr">Published in: Mathematics<br>License: <a href="https://creativecommons.org/licenses/by/4.0/" target="_blank">https://creativecommons.org/licenses/by/4.0/</a><br>See article on publisher's website: <a href="https://dx.doi.org/10.3390/math10030343" target="_blank">https://dx.doi.org/10.3390/math10030343</a></p> |
| eu_rights_str_mv | openAccess |
| id | Manara2_2169da1b6d169e36b1fb7a77c62fd0c0 |
| identifier_str_mv | 10.3390/math10030343 |
| network_acronym_str | Manara2 |
| network_name_str | Manara2 |
| oai_identifier_str | oai:figshare.com:article/26976502 |
| publishDate | 2022 |
| repository.mail.fl_str_mv | |
| repository.name.fl_str_mv | |
| repository_id_str | |
| rights_invalid_str_mv | CC BY 4.0 |
| spelling | 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 HPMAshwin Muniyappan (19570051)Balamuralitharan Sundarappan (19570054)Poongodi Manoharan (17727687)Mounir Hamdi (14150652)Kaamran Raahemifar (707645)Sami Bourouis (18394812)Vijayakumar Varadarajan (13518823)Health sciencesEpidemiologyPublic healthMathematical sciencesNumerical and computational mathematicsCOVID-19omicron variantpandemicHPMstability and numerical analysiserror analysis<p dir="ltr">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 R0. 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.</p><h2>Other Information</h2><p dir="ltr">Published in: Mathematics<br>License: <a href="https://creativecommons.org/licenses/by/4.0/" target="_blank">https://creativecommons.org/licenses/by/4.0/</a><br>See article on publisher's website: <a href="https://dx.doi.org/10.3390/math10030343" target="_blank">https://dx.doi.org/10.3390/math10030343</a></p>2022-01-24T09:00:00ZTextJournal contributioninfo:eu-repo/semantics/publishedVersiontextcontribution to journal10.3390/math10030343https://figshare.com/articles/journal_contribution/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/26976502CC BY 4.0info:eu-repo/semantics/openAccessoai:figshare.com:article/269765022022-01-24T09:00:00Z |
| spellingShingle | 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 Ashwin Muniyappan (19570051) Health sciences Epidemiology Public health Mathematical sciences Numerical and computational mathematics COVID-19 omicron variant pandemic HPM stability and numerical analysis error analysis |
| status_str | publishedVersion |
| title | 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 |
| title_full | 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 |
| title_fullStr | 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 |
| title_full_unstemmed | 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 |
| title_short | 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 |
| title_sort | 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 |
| topic | Health sciences Epidemiology Public health Mathematical sciences Numerical and computational mathematics COVID-19 omicron variant pandemic HPM stability and numerical analysis error analysis |