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Analysis and Dynamics of Fractional Order Mathematical Model of COVID-19 in Nigeria Using Atangana-Baleanu Operator

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dc.contributor.author Peter, Olumuyiwa J.
dc.contributor.author Shaikh, Amjad S.
dc.contributor.author Ibrahim, Mohammed O.
dc.contributor.author Nisar, Kottakkaran Sooppy
dc.contributor.author Baleanu, Dumitru
dc.contributor.author Khan, Ilyas
dc.contributor.author Abioye, Adesoye I.
dc.date.accessioned 2022-03-17T08:17:39Z
dc.date.available 2022-03-17T08:17:39Z
dc.date.issued 2021
dc.identifier.citation Peter, Olumuyiwa J...et al. (2021). "Analysis and Dynamics of Fractional Order Mathematical Model of COVID-19 in Nigeria Using Atangana-Baleanu Operator", CMC-Computers Materials & Continua, Vol. 66, No. 2. tr_TR
dc.identifier.uri http://hdl.handle.net/20.500.12416/5132
dc.description.abstract We propose a mathematical model of the coronavirus disease 2019 (COVID-19) to investigate the transmission and control mechanism of the disease in the community of Nigeria. Using stability theory of differential equations, the qualitative behavior of model is studied. The pandemic indicator represented by basic reproductive number R-0 is obtained from the largest eigenvalue of the next-generation matrix. Local as well as global asymptotic stability conditions for the disease-free and pandemic equilibrium are obtained which determines the conditions to stabilize the exponential spread of the disease. Further, we examined this model by using Atangana-Baleanu fractional derivative operator and existence criteria of solution for the operator is established. We consider the data of reported infection cases from April 1, 2020, till April 30, 2020, and parameterized the model. We have used one of the reliable and efficient method known as iterative Laplace transform to obtain numerical simulations. The impacts of various biological parameters on transmission dynamics of COVID-19 is examined. These results are based on different values of the fractional parameter and serve as a control parameter to identify the significant strategies for the control of the disease. In the end, the obtained results are demonstrated graphically to justify our theoretical findings. tr_TR
dc.language.iso eng tr_TR
dc.relation.isversionof 10.32604/cmc.2020.012314 tr_TR
dc.rights info:eu-repo/semantics/openAccess tr_TR
dc.subject Mathematical Model tr_TR
dc.subject COVID-19 tr_TR
dc.subject Atangana-Baleanu Fractional Operator tr_TR
dc.subject Existence of Solutions tr_TR
dc.subject Stability Analysis tr_TR
dc.subject Numerical Simulation Operator tr_TR
dc.subject Existence of Solutions tr_TR
dc.subject Stability Analysis tr_TR
dc.subject Numerical Simulation tr_TR
dc.title Analysis and Dynamics of Fractional Order Mathematical Model of COVID-19 in Nigeria Using Atangana-Baleanu Operator tr_TR
dc.type article tr_TR
dc.relation.journal CMC-Computers Materials & Continua tr_TR
dc.contributor.authorID 56389 tr_TR
dc.identifier.volume 66 tr_TR
dc.identifier.issue 2 tr_TR
dc.contributor.department Çankaya Üniversitesi, Fen - Edebiyat Fakültesi, Matematik Bölümü tr_TR


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