A SEIR model for control of infectious diseases with constraints
Optimal control can be of help to test and compare different vaccination strategies of a certain disease.In this paper we propose the introduction ofconstraints involving state variables on an optimal control problem applied to a compartmental SEIR (Susceptible. Exposed, Infectious and Recovered) m...
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
AIMS Press
2014-02-01
|
| Series: | Mathematical Biosciences and Engineering |
| Subjects: | |
| Online Access: | https://www.aimspress.com/article/doi/10.3934/mbe.2014.11.761 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832590095378546688 |
|---|---|
| author | M. H. A. Biswas L. T. Paiva MdR de Pinho |
| author_facet | M. H. A. Biswas L. T. Paiva MdR de Pinho |
| author_sort | M. H. A. Biswas |
| collection | DOAJ |
| description | Optimal control can be of help to test and compare different vaccination strategies of a certain disease.In this paper we propose the introduction ofconstraints involving state variables on an optimal control problem applied to a compartmental SEIR (Susceptible. Exposed, Infectious and Recovered) model. We study the solution of such problems when mixed state control constraints are used to impose upper bounds on the available vaccines at each instant of time. We also explore the possibility of imposing upper bounds on the number of susceptible individuals with and without limitations on the number of vaccines available. In the case of mere mixed constraints a numerical and analytical study is conducted while in the other two situations only numerical results are presented. |
| format | Article |
| id | doaj-art-06f6d5222f2a4c88bd0e5131815b8f8d |
| institution | Kabale University |
| issn | 1551-0018 |
| language | English |
| publishDate | 2014-02-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | Mathematical Biosciences and Engineering |
| spelling | doaj-art-06f6d5222f2a4c88bd0e5131815b8f8d2025-01-24T02:28:18ZengAIMS PressMathematical Biosciences and Engineering1551-00182014-02-0111476178410.3934/mbe.2014.11.761A SEIR model for control of infectious diseases with constraintsM. H. A. Biswas0L. T. Paiva1MdR de Pinho2Faculdade de Engenharia da Universidade do Porto, DEEC and ISR-Porto, Rua Dr. Roberto Frias, s/n, 4200-465 PortoFaculdade de Engenharia da Universidade do Porto, DEEC and ISR-Porto, Rua Dr. Roberto Frias, s/n, 4200-465 PortoFaculdade de Engenharia da Universidade do Porto, DEEC and ISR-Porto, Rua Dr. Roberto Frias, s/n, 4200-465 PortoOptimal control can be of help to test and compare different vaccination strategies of a certain disease.In this paper we propose the introduction ofconstraints involving state variables on an optimal control problem applied to a compartmental SEIR (Susceptible. Exposed, Infectious and Recovered) model. We study the solution of such problems when mixed state control constraints are used to impose upper bounds on the available vaccines at each instant of time. We also explore the possibility of imposing upper bounds on the number of susceptible individuals with and without limitations on the number of vaccines available. In the case of mere mixed constraints a numerical and analytical study is conducted while in the other two situations only numerical results are presented.https://www.aimspress.com/article/doi/10.3934/mbe.2014.11.761optimal controlnumerical applications.seir modelmaximum principlestate constraintsmixed constraints |
| spellingShingle | M. H. A. Biswas L. T. Paiva MdR de Pinho A SEIR model for control of infectious diseases with constraints Mathematical Biosciences and Engineering optimal control numerical applications. seir model maximum principle state constraints mixed constraints |
| title | A SEIR model for control of infectious diseases with constraints |
| title_full | A SEIR model for control of infectious diseases with constraints |
| title_fullStr | A SEIR model for control of infectious diseases with constraints |
| title_full_unstemmed | A SEIR model for control of infectious diseases with constraints |
| title_short | A SEIR model for control of infectious diseases with constraints |
| title_sort | seir model for control of infectious diseases with constraints |
| topic | optimal control numerical applications. seir model maximum principle state constraints mixed constraints |
| url | https://www.aimspress.com/article/doi/10.3934/mbe.2014.11.761 |
| work_keys_str_mv | AT mhabiswas aseirmodelforcontrolofinfectiousdiseaseswithconstraints AT ltpaiva aseirmodelforcontrolofinfectiousdiseaseswithconstraints AT mdrdepinho aseirmodelforcontrolofinfectiousdiseaseswithconstraints AT mhabiswas seirmodelforcontrolofinfectiousdiseaseswithconstraints AT ltpaiva seirmodelforcontrolofinfectiousdiseaseswithconstraints AT mdrdepinho seirmodelforcontrolofinfectiousdiseaseswithconstraints |