Optimal control of a SIR epidemic model with general incidence function and a time delays

ABSTRACT In this paper, we introduce an optimal control for a SIR model governed by an ODE system with time delay. We extend the stability studies of model (2.2) in section 2, by incorporating suitable controls. We consider two control strategies in the optimal control model, namely: the vaccination...

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Autores principales:	Barro,Moussa, Guiro,Aboudramane, Ouedraogo,Dramane
Lenguaje:	English
Publicado:	Universidad de La Frontera. Departamento de Matemática y Estadística. 2018
Materias:	SIR general incidence delays optimal control epidemic models Hamiltonian.
Acceso en línea:	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462018000200053
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spelling	oai:scielo:S0719-064620180002000532019-02-13Optimal control of a SIR epidemic model with general incidence function and a time delaysBarro,MoussaGuiro,AboudramaneOuedraogo,Dramane SIR general incidence delays optimal control epidemic models Hamiltonian. ABSTRACT In this paper, we introduce an optimal control for a SIR model governed by an ODE system with time delay. We extend the stability studies of model (2.2) in section 2, by incorporating suitable controls. We consider two control strategies in the optimal control model, namely: the vaccination and treatment strategies. The model has a time delays that represent the incubation period. We derive the first-order necessary conditions for the optimal control and perform numerical simulations to show the effectiveness as well as the applicability of the model for different values of the time delays. These numerical simulations show that the model is sensitive to the delays representing the incubation period.info:eu-repo/semantics/openAccessUniversidad de La Frontera. Departamento de Matemática y Estadística.Cubo (Temuco) v.20 n.2 20182018-06-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462018000200053en10.4067/S0719-06462018000200053
institution	Scielo Chile
collection	Scielo Chile
language	English
topic	SIR general incidence delays optimal control epidemic models Hamiltonian.
spellingShingle	SIR general incidence delays optimal control epidemic models Hamiltonian. Barro,Moussa Guiro,Aboudramane Ouedraogo,Dramane Optimal control of a SIR epidemic model with general incidence function and a time delays
description	ABSTRACT In this paper, we introduce an optimal control for a SIR model governed by an ODE system with time delay. We extend the stability studies of model (2.2) in section 2, by incorporating suitable controls. We consider two control strategies in the optimal control model, namely: the vaccination and treatment strategies. The model has a time delays that represent the incubation period. We derive the first-order necessary conditions for the optimal control and perform numerical simulations to show the effectiveness as well as the applicability of the model for different values of the time delays. These numerical simulations show that the model is sensitive to the delays representing the incubation period.
author	Barro,Moussa Guiro,Aboudramane Ouedraogo,Dramane
author_facet	Barro,Moussa Guiro,Aboudramane Ouedraogo,Dramane
author_sort	Barro,Moussa
title	Optimal control of a SIR epidemic model with general incidence function and a time delays
title_short	Optimal control of a SIR epidemic model with general incidence function and a time delays
title_full	Optimal control of a SIR epidemic model with general incidence function and a time delays
title_fullStr	Optimal control of a SIR epidemic model with general incidence function and a time delays
title_full_unstemmed	Optimal control of a SIR epidemic model with general incidence function and a time delays
title_sort	optimal control of a sir epidemic model with general incidence function and a time delays
publisher	Universidad de La Frontera. Departamento de Matemática y Estadística.
publishDate	2018
url	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462018000200053
work_keys_str_mv	AT barromoussa optimalcontrolofasirepidemicmodelwithgeneralincidencefunctionandatimedelays AT guiroaboudramane optimalcontrolofasirepidemicmodelwithgeneralincidencefunctionandatimedelays AT ouedraogodramane optimalcontrolofasirepidemicmodelwithgeneralincidencefunctionandatimedelays
_version_	1714206800098623488

Optimal control of a SIR epidemic model with general incidence function and a time delays

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