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Stability analysis and system properties of Nipah virus transmission: A fractional calculus case study

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dc.contributor.author Baleanu, Dumitru
dc.contributor.author Shekari, Parisa
dc.contributor.author Torkzadeh, Leila
dc.contributor.author Ranjbar, Hassan
dc.contributor.author Jajarmi, Amin
dc.contributor.author Nouri, Kazem
dc.date.accessioned 2024-01-26T07:54:55Z
dc.date.available 2024-01-26T07:54:55Z
dc.date.issued 2023-01
dc.identifier.citation Baleanu, D.;...et.al. (2023). "Stability analysis and system properties of Nipah virus transmission: A fractional calculus case study", Chaos, Solitons and Fractals, Vol.166. tr_TR
dc.identifier.issn 09600779
dc.identifier.uri http://hdl.handle.net/20.500.12416/7000
dc.description.abstract In this paper, we establish a Caputo-type fractional model to study the Nipah virus transmission dynamics. The model describes the impact of unsafe contact with an infectious corpse as a possible way to transmit this virus. The corresponding area to the system properties, including the positivity and boundedness of the solution, is explored by using the generalized fractional mean value theorem. Also, we investigate sufficient conditions for the local and global stability of the disease-free and the endemic steady-states based on the basic reproduction number R0. To show these important stability features, we employ fractional Routh–Hurwitz criterion and LaSalle's invariability principle. For the implementation of this epidemic model, we also use the Adams–Bashforth–Moulton numerical method in a fractional sense. Finally, in addition to compare the fractional and classical results, as one of the main goals of this research, we demonstrate the usefulness of minimal unsafe touch with the infectious corpse. Simulation and comparative results verify the theoretical discussions. tr_TR
dc.language.iso eng tr_TR
dc.relation.isversionof 10.1016/j.chaos.2022.112990 tr_TR
dc.rights info:eu-repo/semantics/closedAccess tr_TR
dc.subject Adams–Bashforth–Moulton Method tr_TR
dc.subject Equilibrium Points tr_TR
dc.subject Fractional Derivative tr_TR
dc.subject Nipah Virus Infection tr_TR
dc.subject SIRD Model tr_TR
dc.title Stability analysis and system properties of Nipah virus transmission: A fractional calculus case study tr_TR
dc.type article tr_TR
dc.relation.journal Chaos, Solitons and Fractals tr_TR
dc.contributor.authorID 56389 tr_TR
dc.identifier.volume 166 tr_TR
dc.contributor.department Çankaya Üniversitesi, Fen - Edebiyat Fakültesi, Matematik Bölümü tr_TR


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