Please use this identifier to cite or link to this item: http://hdl.handle.net/1822/42983

TitleOn application of optimal control to SEIR normalized models: Pros and cons
Author(s)de Pinho, Maria Rosário
Nogueira, Filipa Nunes
KeywordsEpidemiology
Necessary confitions
Normalized SEIR model
Optimal control
Public health
Issue dateFeb-2017
PublisherAmerican Institute of Mathematical Sciences (AIMS)
JournalMathematical Biosciences and Engineering
Citationde Pinho M. R., Nogueira F. N. ON APPLICATION OF OPTIMAL CONTROL TO SEIR NORMALIZED MODELS: PROS AND CONS, MATHEMATICAL BIOSCIENCES AND ENGINEERING, Vol. 14, Issue 1, pp. 111-126, doi:10.3934/mbe.2017008, 2017
Abstract(s)In this work we normalize a SEIR model that incorporates exponential natural birth and death, as well as disease-caused death. We use optimal control to control by vaccination the spread of a generic infectious disease described by a normalized model with L1 cost. We discuss the pros and cons of SEIR normalized models when compared with classical models when optimal control with L1 costs are considered. Our discussion highlights the role of the cost. Additionally, we partially validate our numerical solutions for our optimal control problem with normalized models using the Maximum Principle.
TypeArticle
URIhttp://hdl.handle.net/1822/42983
DOI10.3934/mbe.2017008
ISSN1547-1063
1551-0018
Publisher versionhttp://www.aimsciences.org/journals/displayArticlesnew.jsp?paperID=13077
Peer-Reviewedyes
AccessRestricted access (UMinho)
Appears in Collections:C-TAC - Artigos em Revistas Internacionais

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