Centro de Território, Ambiente e Construção
Escola de Engenharia da Universidade do Minho
Campus de Azurém
4800-058 Guimarães, Portugal
Phone: + 351 253 510 200 (517 206)
Fax: + 351 253 510 217
Email: geral@ctac.uminho.pt
Title | ON APPLICATION OF OPTIMAL CONTROL TO SEIR NORMALIZED MODELS: PROS AND CONS |
Publication Type | Papers in International Journals |
Year of Publication | 2017 |
Authors | de Pinho M. R., and Nogueira F. N. |
Abstract | 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. |
Journal | MATHEMATICAL BIOSCIENCES AND ENGINEERING |
Volume | 14 |
Edition | 2017 |
Issue | 1 |
Pagination | 111-126 |
Date Published | 2017-02-28 |
Publisher | American Institute of Mathematical Sciences |
ISSN | 1547-1063 (print); 1551-0018 (online) |
DOI | 10.3934/mbe.2017008 |
URL | http://www.aimsciences.org/journals/contentsListnew.jsp?pubID=890 |
Keywords | epidemiology, necessary confitions, normalized SEIR model, Optimal control, Public health |
Rights | restrictedAccess |
Peer reviewed | yes |
Status | published |
The Centre for Territory, Environment and Construction (CTAC) is a research unit of the School of Engineering of University of Minho (UMinho), recognised by the “FCT – Fundação para a Ciência e Tecnologia” (Foundation for Science and Technology), associated to the Department of Civil Engineering (DEC), with whom it shares resources and namely human resources.
Currently CTAC aggregates 25 researchers holding a PhD of which 20 are faculty professors of the Civil Engineering Department. Read more
Centro de Território, Ambiente e Construção
Escola de Engenharia da Universidade do Minho
Campus de Azurém
4800-058 Guimarães, Portugal
Phone: + 351 253 510 200 (517 206)
Fax: + 351 253 510 217
Email: geral@ctac.uminho.pt