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Mathematical study of sir epidemic model under convex incidence rate

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dc.contributor.author Din, Rahim Ud
dc.contributor.author Shah, Kamal
dc.contributor.author Alqudah, Manar A.
dc.contributor.author Abdeljawad, Thabet
dc.contributor.author Jarad, Fahd
dc.date.accessioned 2022-06-17T12:18:05Z
dc.date.available 2022-06-17T12:18:05Z
dc.date.issued 2020
dc.identifier.citation Din, Rahim Ud...et al. (2020). "Mathematical study of sir epidemic model under convex incidence rate", AIMS Mathematics, Vol. 5, No. 6, pp. 7548-7561. tr_TR
dc.identifier.issn 2473-6988
dc.identifier.uri http://hdl.handle.net/20.500.12416/5654
dc.description.abstract In this manuscript, we examine the SIR model under convex incidence rate. We first formulate the famous SIR model under the aforesaid incidence rate. Further, we develop some sufficient analysis to examine the dynamical behavior of the model under consideration. We compute the basic reproductive number R0. Also we study the global attractivity results via using Dulac function theory. Further, we also provide some information about the stability of the endemic and disease free equilibria for the considered model. In addition, we use nonstandard finite difference scheme to perform numerical simulation of the considered model via using Matlab. We provide different numerical plots for two different values of contact rate and taking various initial values for compartments involved in the considered model. © 2020 the Author(s), licensee AIMS Press. tr_TR
dc.language.iso eng tr_TR
dc.relation.isversionof 10.3934/math.2020483 tr_TR
dc.rights info:eu-repo/semantics/openAccess tr_TR
dc.subject Convex Incidence Rate tr_TR
dc.subject Global Analysis tr_TR
dc.subject Reproductive Number tr_TR
dc.subject SIR Model tr_TR
dc.subject Used Dulac Function tr_TR
dc.title Mathematical study of sir epidemic model under convex incidence rate tr_TR
dc.type article tr_TR
dc.relation.journal AIMS Mathematics tr_TR
dc.contributor.authorID 234808 tr_TR
dc.identifier.volume 5 tr_TR
dc.identifier.issue 6 tr_TR
dc.identifier.startpage 7548 tr_TR
dc.identifier.endpage 7561 tr_TR
dc.contributor.department Çankaya Üniversitesi, Fen - Edebiyat Fakültesi, Matematik Bölümü tr_TR


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