A novel mathematics model of covid-19 with fractional derivative. Stability and numerical analysis

dc.creatorSaad, Badr
dc.creatorAlkahtani, T
dc.creatorAlzaid, Sara Salem
dc.date.accessioned2020-07-27T15:07:54Z
dc.date.available2020-07-27T15:07:54Z
dc.date.created2020-09
dc.description.abstractenglishA mathematical model depicting the spread of covid-19 epidemic and implementation of population covid-19 intervention in Italy. The model has 8 components leading to system of 8 ordinary differential equations. In this paper, we investigate the model using the concept of fractional differential operator. A numerical method based on the Lagrange polynomial was used to solve the system equations depicting the spread of COVID-19. A detailed investigation of stability including reproductive number using the next generation matrix, and the Lyapunov were presented in detail. Numerical simulations are depicted for various fractional orders.spa
dc.format.extent11 páginasspa
dc.format.mimetypeapplication/pdfspa
dc.identifier.doihttps://doi.org/10.1016/j.chaos.2020.110006spa
dc.identifier.issn0960-0779spa
dc.identifier.otherhttps://www.sciencedirect.com/science/article/pii/S0960077920304045?via%3Dihubspa
dc.identifier.urihttps://hdl.handle.net/20.500.12010/11163
dc.publisherChaos, Solitons and Fractalseng
dc.rights.accessrightsinfo:eu-repo/semantics/openAccessspa
dc.sourcereponame:Expeditio Repositorio Institucional UJTLspa
dc.sourceinstname:Universidad de Bogotá Jorge Tadeo Lozanospa
dc.subjectNúmeros de reproductividadspa
dc.subject.keywordCovid-19 modelspa
dc.subject.keywordNon-local operatorsspa
dc.subject.keywordReproductivity numbersspa
dc.subject.keywordLagrange polynomialspa
dc.subject.lembSíndrome respiratorio agudo gravespa
dc.subject.lembCOVID-19spa
dc.subject.lembSARS-CoV-2spa
dc.subject.lembCoronavirusspa
dc.titleA novel mathematics model of covid-19 with fractional derivative. Stability and numerical analysisspa
dc.type.hasversioninfo:eu-repo/semantics/acceptedVersionspa
dc.type.localArtículospa

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