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Positivity and boundedness preserving numerical algorithm for the solution of fractional nonlinear epidemic model of HIV/AIDS transmission

dc.contributor.authorIqbal, Zafar
dc.contributor.authorAhmed, Nauman
dc.contributor.authorBaleanu, Dumitru
dc.contributor.authorAdel, Waleed
dc.contributor.authorRafiq, Muhammad
dc.contributor.authorRehman, Muhammad Aziz-ur
dc.contributor.authorAlshomrani, Ali Saleh
dc.contributor.authorID56389tr_TR
dc.date.accessioned2021-01-28T12:20:01Z
dc.date.available2021-01-28T12:20:01Z
dc.date.issued2020
dc.departmentÇankaya Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bölümüen_US
dc.description.abstractIn this article, an integer order nonlinear HIV/AIDS infection model is extended to the non-integer nonlinear model. The Grunwald Letnikov nonstandard finite difference scheme is designed to obtain the numerical solutions. Structure preservence is one of the main advantages of this scheme. Reproductive number R-0 is worked out and its key role in disease dynamics and stability of the system is investigated with the following facts, if R-0 < 1 the disease will be diminished and it will persist in the community for R-0 > 1. On the other hand, it is sought out that system is stable when R-0 < 1 and R-0 > 1 implicates that system is locally asymptotically stable. Positivity and boundedness of the scheme is also proved for the generalized system. Two steady states of the system are computed and verified by computer simulations with the help of some suitable test problem. (C) 2020 Elsevier Ltd. All rights reserved.en_US
dc.description.publishedMonth5
dc.identifier.citationIqbal, Zafar...et al. (2020). "Positivity and boundedness preserving numerical algorithm for the solution of fractional nonlinear epidemic model of HIV/AIDS transmission", Chaos Solitons & Fractals, Vol. 134.en_US
dc.identifier.doi10.1016/j.chaos.2020.109706
dc.identifier.issn0960-0779
dc.identifier.issn1873-2887
dc.identifier.urihttp://hdl.handle.net/20.500.12416/4480
dc.identifier.volume134en_US
dc.language.isoenen_US
dc.relation.ispartofChaos Solitons & Fractalsen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectHIV/AIDS Disease Transmissionen_US
dc.subjectStructure Preserving Algorithmen_US
dc.subjectFractional Order Epidemic Modelen_US
dc.subjectSimulationsen_US
dc.titlePositivity and boundedness preserving numerical algorithm for the solution of fractional nonlinear epidemic model of HIV/AIDS transmissiontr_TR
dc.titlePositivity and Boundedness Preserving Numerical Algorithm for the Solution of Fractional Nonlinear Epidemic Model of Hiv/Aids Transmissionen_US
dc.typeArticleen_US
dspace.entity.typePublication

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