Optimal control of vaccine distribution in a rabies metapopulation model
We consider an SIR metapopulation model for the spread of rabiesin raccoons. This system of ordinary differential equations considers subpop-ulations connected by movement. Vaccine for raccoons is distributed throughfood baits. We apply optimal control theory to find the best timing for dis-tributio...
Saved in:
| Main Authors: | , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
AIMS Press
2008-02-01
|
| Series: | Mathematical Biosciences and Engineering |
| Subjects: | |
| Online Access: | https://www.aimspress.com/article/doi/10.3934/mbe.2008.5.219 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832590223690694656 |
|---|---|
| author | Erika Asano Louis J. Gross Suzanne Lenhart Leslie A. Real |
| author_facet | Erika Asano Louis J. Gross Suzanne Lenhart Leslie A. Real |
| author_sort | Erika Asano |
| collection | DOAJ |
| description | We consider an SIR metapopulation model for the spread of rabiesin raccoons. This system of ordinary differential equations considers subpop-ulations connected by movement. Vaccine for raccoons is distributed throughfood baits. We apply optimal control theory to find the best timing for dis-tribution of vaccine in each of the linked subpopulations across the landscape.This strategy is chosen to limit the disease optimally by making the numberof infections as small as possible while accounting for the cost of vaccination. |
| format | Article |
| id | doaj-art-de6e1acc1a994b2aa174978a662a7861 |
| institution | Kabale University |
| issn | 1551-0018 |
| language | English |
| publishDate | 2008-02-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | Mathematical Biosciences and Engineering |
| spelling | doaj-art-de6e1acc1a994b2aa174978a662a78612025-01-24T01:58:10ZengAIMS PressMathematical Biosciences and Engineering1551-00182008-02-015221923810.3934/mbe.2008.5.219Optimal control of vaccine distribution in a rabies metapopulation modelErika Asano0Louis J. Gross1Suzanne Lenhart2Leslie A. Real3Environmental Science, Policy and Geography, University of South Florida, St. Petersburg, FL 33701Environmental Science, Policy and Geography, University of South Florida, St. Petersburg, FL 33701Environmental Science, Policy and Geography, University of South Florida, St. Petersburg, FL 33701Environmental Science, Policy and Geography, University of South Florida, St. Petersburg, FL 33701We consider an SIR metapopulation model for the spread of rabiesin raccoons. This system of ordinary differential equations considers subpop-ulations connected by movement. Vaccine for raccoons is distributed throughfood baits. We apply optimal control theory to find the best timing for dis-tribution of vaccine in each of the linked subpopulations across the landscape.This strategy is chosen to limit the disease optimally by making the numberof infections as small as possible while accounting for the cost of vaccination.https://www.aimspress.com/article/doi/10.3934/mbe.2008.5.219optimal controlvaccine.epidemiologymathematical modelrabies in raccoons |
| spellingShingle | Erika Asano Louis J. Gross Suzanne Lenhart Leslie A. Real Optimal control of vaccine distribution in a rabies metapopulation model Mathematical Biosciences and Engineering optimal control vaccine. epidemiology mathematical model rabies in raccoons |
| title | Optimal control of vaccine distribution in a rabies metapopulation model |
| title_full | Optimal control of vaccine distribution in a rabies metapopulation model |
| title_fullStr | Optimal control of vaccine distribution in a rabies metapopulation model |
| title_full_unstemmed | Optimal control of vaccine distribution in a rabies metapopulation model |
| title_short | Optimal control of vaccine distribution in a rabies metapopulation model |
| title_sort | optimal control of vaccine distribution in a rabies metapopulation model |
| topic | optimal control vaccine. epidemiology mathematical model rabies in raccoons |
| url | https://www.aimspress.com/article/doi/10.3934/mbe.2008.5.219 |
| work_keys_str_mv | AT erikaasano optimalcontrolofvaccinedistributioninarabiesmetapopulationmodel AT louisjgross optimalcontrolofvaccinedistributioninarabiesmetapopulationmodel AT suzannelenhart optimalcontrolofvaccinedistributioninarabiesmetapopulationmodel AT leslieareal optimalcontrolofvaccinedistributioninarabiesmetapopulationmodel |