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Optimal control model for the transmission of novel COVID-19

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dc.contributor.author Baba, Isa Abdullahi
dc.contributor.author Nasidi, Bashir Ahmad
dc.contributor.author Baleanu, Dumitru
dc.date.accessioned 2022-12-02T08:02:52Z
dc.date.available 2022-12-02T08:02:52Z
dc.date.issued 2021
dc.identifier.citation Baba, Isa Abdullahi; Nasidi, Bashir Ahmad; Baleanu, Dumitru (2021). "Optimal control model for the transmission of novel COVID-19", Computers, Materials and Continua, Vol. 66, No. 3, pp. 3089-3106. tr_TR
dc.identifier.issn 1546-2218
dc.identifier.uri http://hdl.handle.net/20.500.12416/5900
dc.description.abstract As the corona virus (COVID-19) pandemic ravages socio-economic activities in addition to devastating infectious and fatal consequences, optimal control strategy is an effective measure that neutralizes the scourge to its lowest ebb. In this paper, we present a mathematical model for the dynamics of COVID-19, and then we added an optimal control function to the model in order to effectively control the outbreak. We incorporate three main control efforts (isolation, quarantine and hospitalization) into the model aimed at controlling the spread of the pandemic. These efforts are further subdivided into five functions; u1(t) (isolation of the susceptible communities), u2(t) (contact track measure by which susceptible individuals with contact history are quarantined), u3(t) (contact track measure by which infected individualsare quarantined), u4(t) (control effort of hospitalizing the infected I1) and u5(t) (control effort of hospitalizing the infected I2). We establish the existence of the optimal control and also its characterization by applying Pontryaging maximum principle. The disease free equilibrium solution (DFE) is found to be locally asymptotically stable and subsequently we used it to obtain the key parameter; basic reproduction number. We constructed Lyapunov function to which global stability of the solutions is established. Numerical simulations show how adopting the available control measures optimally, will drastically reduce the infectious populations. tr_TR
dc.language.iso eng tr_TR
dc.relation.isversionof 10.32604/cmc.2021.012301 tr_TR
dc.rights info:eu-repo/semantics/openAccess tr_TR
dc.subject COVID-19 tr_TR
dc.subject Existence of Control tr_TR
dc.subject Mathematical Model tr_TR
dc.subject Optimal Control tr_TR
dc.subject Pontryaging Maximum Principle tr_TR
dc.subject Stability Analysis tr_TR
dc.title Optimal control model for the transmission of novel COVID-19 tr_TR
dc.type article tr_TR
dc.relation.journal Computers, Materials and Continua tr_TR
dc.contributor.authorID 56389 tr_TR
dc.identifier.volume 66 tr_TR
dc.identifier.issue 3 tr_TR
dc.identifier.startpage 3089 tr_TR
dc.identifier.endpage 3106 tr_TR
dc.contributor.department Çankaya Üniversitesi, Fen - Edebiyat Fakültesi, Matematik Bölümü tr_TR


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