A new study on two different vaccinated fractional-order COVID-19 models via numerical algorithms

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dc.contributor.authorAnwar Zeb
dc.contributor.authorPushpendra Kumar
dc.contributor.authorVedat Suat Erturk
dc.contributor.authorThanin Sitthiwirattham
dc.contributor.correspondenceP. Kumar; Department of Mathematics and Statistics, School of Basic and Applied Sciences, Central University of Punjab, Bathinda, Punjab, 151001, India; email: kumarsaraswatpk@gmail.com
dc.date.accessioned2025-03-10T07:35:06Z
dc.date.available2025-03-10T07:35:06Z
dc.date.issued2022
dc.description.abstractThe main purpose of this paper is to provide new vaccinated models of COVID-19 in the sense of Caputo-Fabrizio and new generalized Caputo-type fractional derivatives. The formulation of the given models is presented including an exhaustive study of the model dynamics such as positivity, boundedness of the solutions, and local stability analysis. Furthermore, the unique solution existence for the proposed fractional-order models is discussed via fixed point theory. Numerical solutions are also derived by using two-steps Adams-Bashforth algorithm for Caputo-Fabrizio operator, and modified Predictor-Corrector method for generalised Caputo fractional derivative. Our analysis allows to show that the given fractional-order models exemplify the dynamics of COVID-19 much better than the classical ones. Also, the analysis on the convergence and stability for the proposed methods are performed. By this study, we see that how vaccine availability plays an important role in the control of COVID-19 infection. © 2022 The Author(s)
dc.identifier.citationJournal of King Saud University - Science
dc.identifier.doi10.1016/j.jksus.2022.101914
dc.identifier.issn10183647
dc.identifier.scopus2-s2.0-85125413987
dc.identifier.urihttps://repository.dusit.ac.th//handle/123456789/4619
dc.languageEnglish
dc.publisherElsevier B.V.
dc.rightsAll Open Access; Gold Open Access; Green Open Access
dc.rights.holderScopus
dc.subjectCaputo-Fabrizio and new generalized Caputo fractional-derivatives
dc.subjectFractional mathematical model
dc.subjectNumerical methods
dc.titleA new study on two different vaccinated fractional-order COVID-19 models via numerical algorithms
dc.typeArticle
mods.location.urlhttps://www.scopus.com/inward/record.uri?eid=2-s2.0-85125413987&doi=10.1016%2fj.jksus.2022.101914&partnerID=40&md5=c3f00348e87ad3ab5fc621ddbe2fe191
oaire.citation.issue4
oaire.citation.volume34
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