Lyapunov stability and wave analysis of Covid-19 omicron variant of real data with fractional

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dc.authoridFarman, Dr. Muhamamd/0000-0001-7616-0500
dc.contributor.authorXu, Changjin
dc.contributor.authorFarman, Muhammad
dc.contributor.authorHasan, Ali
dc.contributor.authorAkgul, Ali
dc.contributor.authorZakarya, Mohammed
dc.contributor.authorAlbalawi, Wedad
dc.contributor.authorPark, Choonkil
dc.date.accessioned2024-12-24T19:25:12Z
dc.date.available2024-12-24T19:25:12Z
dc.date.issued2022
dc.departmentSiirt Üniversitesi
dc.description.abstractThe fractional derivative is an advanced category of mathematics for real-life problems. This work focus on the investigation of 2nd wave of the Corona virus in India. We develop a time fractional order COVID-19 model with effects of the disease which consist of a system of fractional differential equations. The fractional-order COVID-19 model is investigated with AtanganaBaleanu-Caputo fractional derivative. Also, the deterministic mathematical model for the Omicron effect is investigated with different fractional parameters. The fractional-order system is analyzed qualitatively as well as verified sensitivity analysis. Fixed point theory is used to prove the existence and uniqueness of the fractional-order model. Analyzed the model locally as well as globally using Lyapunov first and second derivative. Boundedness and positive unique solutions are verified for the fractional-order model of infection of disease. The concept of fixed point theory is used to interrogate the problem and confine the solution. Solutions are derived to investigate the influence of fractional operator which shows the impact of the disease on society. Simulation has been made to understand the behavior of the virus.(c) 2022 THE AUTHORS. Published by Elsevier BV on behalf of Faculty of Engineering, Alexandria University This is an open access article under the CC BY license (http://creativecommons.org/licenses/by/ 4.0/).
dc.description.sponsorshipDeanship of Scientific Research at King Khalid University [2/29/43]; Princess Nourah bint Abdulrahman University Researchers Supporting Project [PNURSP2022R157]
dc.description.sponsorshipThe authors extend their appreciation to the Deanship of Sci-entific Research at King Khalid University for funding this project under grant number (R.G.P. 2/29/43) . Princess Nourah bint Abdulrahman University Researchers Supporting Project number (PNURSP2022R157) , Princess Nourah bint Abdul-rahman University, Riyadh, Saudi Arabia.
dc.identifier.doi10.1016/j.aej.2022.05.025
dc.identifier.endpage11802
dc.identifier.issn1110-0168
dc.identifier.issn2090-2670
dc.identifier.issue12
dc.identifier.scopus2-s2.0-85131450065
dc.identifier.scopusqualityQ1
dc.identifier.startpage11787
dc.identifier.urihttps://doi.org/10.1016/j.aej.2022.05.025
dc.identifier.urihttps://hdl.handle.net/20.500.12604/6315
dc.identifier.volume61
dc.identifier.wosWOS:000813317000012
dc.identifier.wosqualityQ1
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherElsevier
dc.relation.ispartofAlexandria Engineering Journal
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.snmzKA_20241222
dc.subjectOmicron
dc.subjectStability
dc.subjectAtangana-Toufik
dc.subjectLyapunov stability
dc.subjectSecond derivative Equilib-rium point
dc.titleLyapunov stability and wave analysis of Covid-19 omicron variant of real data with fractional
dc.typeArticle

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