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
Descripción
Sumario: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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