Optimal Conditions for the Control Problem Associated to a Biomedical Process

This paper considers a mathematical model of infectious disease of SIS type. We will analyze the problem of minimizing the cost of diseases trough medical treatment. Mathematical modeling of this process leads to an optimal control problem with a finite horizon. The necessary conditions for optimali...

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Detalles Bibliográficos
Autores principales: Bundău, O., Juratoni, A., Chevereşan, A.
Formato: Online Artículo Texto
Lenguaje:English
Publicado: American Institute of Physics 2010
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7108772/
https://www.ncbi.nlm.nih.gov/pubmed/32255867
http://dx.doi.org/10.1063/1.3497987
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author Bundău, O.
Juratoni, A.
Chevereşan, A.
author_facet Bundău, O.
Juratoni, A.
Chevereşan, A.
author_sort Bundău, O.
collection PubMed
description This paper considers a mathematical model of infectious disease of SIS type. We will analyze the problem of minimizing the cost of diseases trough medical treatment. Mathematical modeling of this process leads to an optimal control problem with a finite horizon. The necessary conditions for optimality are given. Using the optimality conditions we prove the existence, uniqueness and stability of the steady state for a differential equations system.
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spelling pubmed-71087722020-04-01 Optimal Conditions for the Control Problem Associated to a Biomedical Process Bundău, O. Juratoni, A. Chevereşan, A. AIP Conf Proc Article This paper considers a mathematical model of infectious disease of SIS type. We will analyze the problem of minimizing the cost of diseases trough medical treatment. Mathematical modeling of this process leads to an optimal control problem with a finite horizon. The necessary conditions for optimality are given. Using the optimality conditions we prove the existence, uniqueness and stability of the steady state for a differential equations system. American Institute of Physics 2010-09-30 /pmc/articles/PMC7108772/ /pubmed/32255867 http://dx.doi.org/10.1063/1.3497987 Text en All article content, except where otherwise noted, is licensed under a Creative Commons Attribution (CC BY) license ( http://creativecommons.org/licenses/by/4.0/).
spellingShingle Article
Bundău, O.
Juratoni, A.
Chevereşan, A.
Optimal Conditions for the Control Problem Associated to a Biomedical Process
title Optimal Conditions for the Control Problem Associated to a Biomedical Process
title_full Optimal Conditions for the Control Problem Associated to a Biomedical Process
title_fullStr Optimal Conditions for the Control Problem Associated to a Biomedical Process
title_full_unstemmed Optimal Conditions for the Control Problem Associated to a Biomedical Process
title_short Optimal Conditions for the Control Problem Associated to a Biomedical Process
title_sort optimal conditions for the control problem associated to a biomedical process
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7108772/
https://www.ncbi.nlm.nih.gov/pubmed/32255867
http://dx.doi.org/10.1063/1.3497987
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