Optimizing the quarantine cost for suppression of the COVID-19 epidemic in México

dc.creatorChoque-Rivero,Abdon E.
dc.creatorKhailov,Evgenii N.
dc.creatorGrigorieva,Ellina V.
dc.date2021-07-01
dc.date.accessioned2023-09-25T14:23:45Z
dc.date.available2023-09-25T14:23:45Z
dc.identifierhttp://www.scielo.sa.cr/scielo.php?script=sci_arttext&pid=S1409-24332021000100055
dc.identifier.urihttps://repositorioslatinoamericanos.uchile.cl/handle/2250/8819011
dc.descriptionAbstract This paper is one of the few attempts to use the optimal control theory to find optimal quarantine strategies for eradication of the spread of the COVID-19 infection in the Mexican human population. This is achieved by introducing into the SEIR model a bounded control function of time that reflects these quarantine measures. The objective function to be minimized is the weighted sum of the total infection level in the population and the total cost of the quarantine. An optimal control problem reflecting the search for an effective quarantine strategy is stated and solved analytically and numerically. The properties of the corresponding optimal control are established analytically by applying the Pontryagin maximum principle. The optimal solution is obtained numerically by solving the two-point boundary value problem for the maximum principle using MATLAB software. A detailed discussion of the results and the corresponding practical conclusions are presented.
dc.formattext/html
dc.languageen
dc.publisherCentro de Investigaciones en Matemática Pura y Aplicada (CIMPA) y Escuela de Matemática, San José, Costa Rica.
dc.relation10.15517/rmta.v28i1.42077
dc.rightsinfo:eu-repo/semantics/openAccess
dc.sourceRevista de Matemática Teoría y Aplicaciones v.28 n.1 2021
dc.subjectcoronavirus
dc.subjectquarantine cost
dc.subjectPontryagin maximum principal
dc.subjectoptimal control.
dc.titleOptimizing the quarantine cost for suppression of the COVID-19 epidemic in México
dc.typeinfo:eu-repo/semantics/article


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