Observer-Based Vaccination Strategy for a True Mass Action SEIR Epidemic Model with Potential Estimation of All the Populations
This paper presents a simple continuous-time linear vaccination-based control strategy for a SEIR (susceptible plus infected plus infectious plus removed populations) propagation disease model. The model takes into account the total population amounts as a refrain for the illness transmission since...
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2011-01-01
|
| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2011/743067 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832548383726764032 |
|---|---|
| author | M. De la Sen A. Ibeas S. Alonso-Quesada |
| author_facet | M. De la Sen A. Ibeas S. Alonso-Quesada |
| author_sort | M. De la Sen |
| collection | DOAJ |
| description | This paper presents a simple continuous-time linear vaccination-based control strategy for a SEIR (susceptible plus infected plus infectious plus removed populations) propagation disease model. The model takes into account the total population amounts as a refrain for the illness transmission since its increase makes more difficult contacts among the susceptible and infected. The control objective is the asymptotically tracking of the removed-by-immunity population to the total population while achieving simultaneously the remaining population (i.e., susceptible plus infected plus infectious) to asymptotically converge to zero. A state observer is used to estimate the true various partial populations of the susceptible, infected, infectious, and immune which are assumed to be unknown. The model parameters are also assumed to be, in general, unknown. In this case, the parameters are replaced by available estimates to implement the vaccination action. |
| format | Article |
| id | doaj-art-2401677fd11247e29219e0b9aab08690 |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2011-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-2401677fd11247e29219e0b9aab086902025-02-03T06:14:13ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2011-01-01201110.1155/2011/743067743067Observer-Based Vaccination Strategy for a True Mass Action SEIR Epidemic Model with Potential Estimation of All the PopulationsM. De la Sen0A. Ibeas1S. Alonso-Quesada2Institute of Research and Development of Processes, Faculty of Science and Technology, University of the Basque Country, P. O. Box 644, 48940 Bilbao, SpainDepartment of Telecommunications and Systems Engineering, Autonomous University of Barcelona, 08193 Bellaterra, Barcelona, SpainInstitute of Research and Development of Processes, Faculty of Science and Technology, University of the Basque Country, P. O. Box 644, 48940 Bilbao, SpainThis paper presents a simple continuous-time linear vaccination-based control strategy for a SEIR (susceptible plus infected plus infectious plus removed populations) propagation disease model. The model takes into account the total population amounts as a refrain for the illness transmission since its increase makes more difficult contacts among the susceptible and infected. The control objective is the asymptotically tracking of the removed-by-immunity population to the total population while achieving simultaneously the remaining population (i.e., susceptible plus infected plus infectious) to asymptotically converge to zero. A state observer is used to estimate the true various partial populations of the susceptible, infected, infectious, and immune which are assumed to be unknown. The model parameters are also assumed to be, in general, unknown. In this case, the parameters are replaced by available estimates to implement the vaccination action.http://dx.doi.org/10.1155/2011/743067 |
| spellingShingle | M. De la Sen A. Ibeas S. Alonso-Quesada Observer-Based Vaccination Strategy for a True Mass Action SEIR Epidemic Model with Potential Estimation of All the Populations Discrete Dynamics in Nature and Society |
| title | Observer-Based Vaccination Strategy for a True Mass Action SEIR Epidemic Model with Potential Estimation of All the Populations |
| title_full | Observer-Based Vaccination Strategy for a True Mass Action SEIR Epidemic Model with Potential Estimation of All the Populations |
| title_fullStr | Observer-Based Vaccination Strategy for a True Mass Action SEIR Epidemic Model with Potential Estimation of All the Populations |
| title_full_unstemmed | Observer-Based Vaccination Strategy for a True Mass Action SEIR Epidemic Model with Potential Estimation of All the Populations |
| title_short | Observer-Based Vaccination Strategy for a True Mass Action SEIR Epidemic Model with Potential Estimation of All the Populations |
| title_sort | observer based vaccination strategy for a true mass action seir epidemic model with potential estimation of all the populations |
| url | http://dx.doi.org/10.1155/2011/743067 |
| work_keys_str_mv | AT mdelasen observerbasedvaccinationstrategyforatruemassactionseirepidemicmodelwithpotentialestimationofallthepopulations AT aibeas observerbasedvaccinationstrategyforatruemassactionseirepidemicmodelwithpotentialestimationofallthepopulations AT salonsoquesada observerbasedvaccinationstrategyforatruemassactionseirepidemicmodelwithpotentialestimationofallthepopulations |