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Comparison of Numerical Methods of the SEIR Epidemic Model of Fractional Order

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dc.authorscopusid15924309000
dc.authorscopusid27171676700
dc.authorscopusid35750924900
dc.authorscopusid8842321100
dc.authorscopusid16303495600
dc.contributor.authorZeb, A.
dc.contributor.authorKhan, M.
dc.contributor.authorZaman, G.
dc.contributor.authorMomani, S.
dc.contributor.authorErtürk, V.S.
dc.date.accessioned2020-06-21T13:59:11Z
dc.date.available2020-06-21T13:59:11Z
dc.date.issued2014
dc.departmentOndokuz Mayıs Üniversitesien_US
dc.department-temp[Zeb] Anwar, COMSATS University Islamabad, Abbottabad Campus, Abbottabad, Khyber Pakhtunkhwa, Pakistan; [Khan] Muhammad Sajjad Ali, COMSATS University Islamabad, Abbottabad Campus, Abbottabad, Khyber Pakhtunkhwa, Pakistan; [Zaman] Gul, Department of Mathematics, University of Malakand, Chakdara, Pakistan; [Momani] Shaher M., Department of Mathermatics, The University of Jordan, Amman, Jordan; [Ertürk] Vedat Suat, Department of Mathematics, Ondokuz Mayis University Faculty of Science and Arts, Samsun, Turkeyen_US
dc.description.abstractIn this paper, we consider the SEIR (Susceptible-Exposed-Infected-Recovered) epidemic model by taking into account both standard and bilinear incidence rates of fractional order. First, the nonnegative solution of the SEIR model of fractional order is presented. Then, the multi-step generalized differential transform method (MSGDTM) is employed to compute an approximation to the solution of the model of fractional order. Finally, the obtained results are compared with those obtained by the fourth-order Runge-Kutta method and non-standard finite difference (NSFD) method in the integer case. © 2014 Verlag der Zeitschrift für Naturforschung, Tübingen.en_US
dc.identifier.doi10.5560/ZNA.2013-0073
dc.identifier.endpage89en_US
dc.identifier.issn0932-0784
dc.identifier.issn1865-7109
dc.identifier.scopus2-s2.0-84900506541
dc.identifier.scopusqualityQ3
dc.identifier.startpage81en_US
dc.identifier.urihttps://doi.org/10.5560/ZNA.2013-0073
dc.identifier.volume69en_US
dc.identifier.wosWOS:000334264300010
dc.identifier.wosqualityQ3
dc.language.isoenen_US
dc.publisherVerlag der Zeitschrift fur Naturforschung znaturforsch.redaktion@t-online.deen_US
dc.relation.ispartofZeitschrift Fur Naturforschung Section A-A Journal of Physical Sciencesen_US
dc.relation.journalZeitschrift Fur Naturforschung Section A-A Journal of Physical Sciencesen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectDifferential Transform Methoden_US
dc.subjectEpidemic Modelen_US
dc.subjectFractional Differential Equationsen_US
dc.subjectIterative Methoden_US
dc.subjectNon-Standard Schemeen_US
dc.titleComparison of Numerical Methods of the SEIR Epidemic Model of Fractional Orderen_US
dc.typeArticleen_US
dspace.entity.typePublication

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