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A case study of 2019-nCOV cases in Argentina with the real data based on daily cases from March 03, 2020 to March 29, 2021 using classical and fractional derivatives

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A case study of 2019-nCOV cases in Argentina with the real data based on daily cases from March 03, 2020 to March 29, 2021 using classical and fractional derivatives

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dc.contributor.author Kumar, Pushpendra es_ES
dc.contributor.author Erturk, Vedat Suat es_ES
dc.contributor.author Murillo Arcila, Marina es_ES
dc.contributor.author Banerjee, Ramashis es_ES
dc.contributor.author Manickam, A. es_ES
dc.date.accessioned 2022-05-20T18:05:56Z
dc.date.available 2022-05-20T18:05:56Z
dc.date.issued 2021-07-20 es_ES
dc.identifier.issn 1687-1847 es_ES
dc.identifier.uri http://hdl.handle.net/10251/182754
dc.description.abstract [EN] In this study, our aim is to explore the dynamics of COVID-19 or 2019-nCOV in Argentina considering the parameter values based on the real data of this virus from March 03, 2020 to March 29, 2021 which is a data range of more than one complete year. We propose a Atangana-Baleanu type fractional-order model and simulate it by using predictor-corrector (P-C) method. First we introduce the biological nature of this virus in theoretical way and then formulate a mathematical model to define its dynamics. We use a well-known effective optimization scheme based on the renowned trust-region-reflective (TRR) method to perform the model calibration. We have plotted the real cases of COVID-19 and compared our integer-order model with the simulated data along with the calculation of basic reproductive number. Concerning fractional-order simulations, first we prove the existence and uniqueness of solution and then write the solution along with the stability of the given P-C method. A number of graphs at various fractional-order values are simulated to predict the future dynamics of the virus in Argentina which is the main contribution of this paper. es_ES
dc.description.sponsorship The third author is supported by MICINN and FEDER, Project PID2019-105011GB-I00. es_ES
dc.language Inglés es_ES
dc.relation.ispartof Advances in Difference Equations es_ES
dc.rights Reconocimiento (by) es_ES
dc.subject COVID-19 es_ES
dc.subject Argentina es_ES
dc.subject Mathematical models es_ES
dc.subject TRR algorithm es_ES
dc.subject Atangana-Baleanu non-classical derivative es_ES
dc.subject.classification MATEMATICA APLICADA es_ES
dc.title A case study of 2019-nCOV cases in Argentina with the real data based on daily cases from March 03, 2020 to March 29, 2021 using classical and fractional derivatives es_ES
dc.type Artículo es_ES
dc.identifier.doi 10.1186/s13662-021-03499-2 es_ES
dc.relation.projectID info:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020/PID2019-105011GB-I00/ES/DINAMICA DE OPERADORES/ es_ES
dc.rights.accessRights Abierto es_ES
dc.contributor.affiliation Universitat Politècnica de València. Departamento de Matemática Aplicada - Departament de Matemàtica Aplicada es_ES
dc.description.bibliographicCitation Kumar, P.; Erturk, VS.; Murillo Arcila, M.; Banerjee, R.; Manickam, A. (2021). A case study of 2019-nCOV cases in Argentina with the real data based on daily cases from March 03, 2020 to March 29, 2021 using classical and fractional derivatives. Advances in Difference Equations. 2021(1):1-21. https://doi.org/10.1186/s13662-021-03499-2 es_ES
dc.description.accrualMethod S es_ES
dc.relation.publisherversion https://doi.org/10.1186/s13662-021-03499-2 es_ES
dc.description.upvformatpinicio 1 es_ES
dc.description.upvformatpfin 21 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 2021 es_ES
dc.description.issue 1 es_ES
dc.identifier.pmid 34306044 es_ES
dc.identifier.pmcid PMC8290213 es_ES
dc.relation.pasarela S\455728 es_ES
dc.contributor.funder AGENCIA ESTATAL DE INVESTIGACION es_ES
dc.contributor.funder European Regional Development Fund es_ES
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