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Optimal control model for the transmission of novel COVID-19

dc.contributor.authorBaba, Isa Abdullahi
dc.contributor.authorNasidi, Bashir Ahmad
dc.contributor.authorBaleanu, Dumitru
dc.contributor.authorID56389tr_TR
dc.date.accessioned2022-12-02T08:02:52Z
dc.date.available2022-12-02T08:02:52Z
dc.date.issued2021
dc.departmentÇankaya Üniversitesi, Fen - Edebiyat Fakültesi, Matematik Bölümüen_US
dc.description.abstractAs 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.en_US
dc.identifier.citationBaba, 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.en_US
dc.identifier.doi10.32604/cmc.2021.012301
dc.identifier.endpage3106en_US
dc.identifier.issn1546-2218
dc.identifier.issue3en_US
dc.identifier.startpage3089en_US
dc.identifier.urihttp://hdl.handle.net/20.500.12416/5900
dc.identifier.volume66en_US
dc.language.isoenen_US
dc.relation.ispartofComputers, Materials and Continuaen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectCOVID-19en_US
dc.subjectExistence of Controlen_US
dc.subjectMathematical Modelen_US
dc.subjectOptimal Controlen_US
dc.subjectPontryaging Maximum Principleen_US
dc.subjectStability Analysisen_US
dc.titleOptimal control model for the transmission of novel COVID-19tr_TR
dc.titleOptimal Control Model for the Transmission of Novel Covid-19en_US
dc.typeArticleen_US
dspace.entity.typePublication

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