Optimal control applied to vaccination and treatmentstrategies for various epidemiological models
Mathematical models provide a powerful tool for investigating thedynamics and control of infectious diseases, but quantifying theunderlying epidemic structure can be challenging especially for newand under-studied diseases.Variations of standard SIR, SIRS, and SEIR epidemiologicalmodels are consider...
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| Language: | English |
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AIMS Press
2009-05-01
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| Series: | Mathematical Biosciences and Engineering |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/mbe.2009.6.469 |
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| author | Holly Gaff Elsa Schaefer |
| author_facet | Holly Gaff Elsa Schaefer |
| author_sort | Holly Gaff |
| collection | DOAJ |
| description | Mathematical models provide a powerful tool for investigating thedynamics and control of infectious diseases, but quantifying theunderlying epidemic structure can be challenging especially for newand under-studied diseases.Variations of standard SIR, SIRS, and SEIR epidemiologicalmodels are considered to determine the sensitivity of these models tovarious parameter values that may not be fully known when the models areused to investigate emerging diseases. Optimal control theory is appliedto suggest the most effective mitigationstrategy to minimize the number of individuals who become infected in thecourse of an infection while efficiently balancingvaccination and treatment applied to the models with various costscenarios. The optimal control simulations suggest that regardless of theparticular epidemiological structure and of the comparative cost ofmitigation strategies, vaccination, if available, would be acrucial piece of any intervention plan. |
| format | Article |
| id | doaj-art-b2a8bbf1850d42328f602613d450c66a |
| institution | Kabale University |
| issn | 1551-0018 |
| language | English |
| publishDate | 2009-05-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | Mathematical Biosciences and Engineering |
| spelling | doaj-art-b2a8bbf1850d42328f602613d450c66a2025-01-24T01:59:54ZengAIMS PressMathematical Biosciences and Engineering1551-00182009-05-016346949210.3934/mbe.2009.6.469Optimal control applied to vaccination and treatmentstrategies for various epidemiological modelsHolly Gaff0Elsa Schaefer1Community and Environmental Health, College of Health Sciences, Old Dominion University, 3133A Technology Building, Norfolk, VA 23529Community and Environmental Health, College of Health Sciences, Old Dominion University, 3133A Technology Building, Norfolk, VA 23529Mathematical models provide a powerful tool for investigating thedynamics and control of infectious diseases, but quantifying theunderlying epidemic structure can be challenging especially for newand under-studied diseases.Variations of standard SIR, SIRS, and SEIR epidemiologicalmodels are considered to determine the sensitivity of these models tovarious parameter values that may not be fully known when the models areused to investigate emerging diseases. Optimal control theory is appliedto suggest the most effective mitigationstrategy to minimize the number of individuals who become infected in thecourse of an infection while efficiently balancingvaccination and treatment applied to the models with various costscenarios. The optimal control simulations suggest that regardless of theparticular epidemiological structure and of the comparative cost ofmitigation strategies, vaccination, if available, would be acrucial piece of any intervention plan.https://www.aimspress.com/article/doi/10.3934/mbe.2009.6.469vaccination.sirepidemicseirsirsoptimal control |
| spellingShingle | Holly Gaff Elsa Schaefer Optimal control applied to vaccination and treatmentstrategies for various epidemiological models Mathematical Biosciences and Engineering vaccination. sir epidemic seir sirs optimal control |
| title | Optimal control applied to vaccination and treatmentstrategies for various epidemiological models |
| title_full | Optimal control applied to vaccination and treatmentstrategies for various epidemiological models |
| title_fullStr | Optimal control applied to vaccination and treatmentstrategies for various epidemiological models |
| title_full_unstemmed | Optimal control applied to vaccination and treatmentstrategies for various epidemiological models |
| title_short | Optimal control applied to vaccination and treatmentstrategies for various epidemiological models |
| title_sort | optimal control applied to vaccination and treatmentstrategies for various epidemiological models |
| topic | vaccination. sir epidemic seir sirs optimal control |
| url | https://www.aimspress.com/article/doi/10.3934/mbe.2009.6.469 |
| work_keys_str_mv | AT hollygaff optimalcontrolappliedtovaccinationandtreatmentstrategiesforvariousepidemiologicalmodels AT elsaschaefer optimalcontrolappliedtovaccinationandtreatmentstrategiesforvariousepidemiologicalmodels |