Impact of vaccine arrival on the optimal control of a newly emerging infectious disease: A theoretical study
When a newly emerging human infectious disease spreads through a host population, it may be that public health authorities must begin facing the outbreaks and planning an intervention campaign when not all intervention tools are readily available. In such cases, the problem of finding optimal interv...
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| Format: | Article |
| Language: | English |
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AIMS Press
2012-06-01
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| Series: | Mathematical Biosciences and Engineering |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/mbe.2012.9.539 |
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| author | Bruno Buonomo Eleonora Messina |
| author_facet | Bruno Buonomo Eleonora Messina |
| author_sort | Bruno Buonomo |
| collection | DOAJ |
| description | When a newly emerging human infectious disease spreads through a host population, it may be that public health authorities must begin facing the outbreaks and planning an intervention campaign when not all intervention tools are readily available. In such cases, the problem of finding optimal intervention strategies to minimize both the disease burden and the intervention costs may be addressed by considering multiple intervention regimes. In this paper, we consider the scenario in which authorities may rely initially only on non-pharmaceutical interventions at the beginning of the campaign, knowing that a vaccine will later be available, at an exogenous and known switching time. We use a two-stage optimal control problem over a finite time horizon to analyze the optimal intervention strategies during the whole campaign, and to assess the effects of the new intervention tool on the preceding stage of the campaign. We obtain the optimality systems of two connected optimal control problems, and show the solution profiles through numerical simulations. |
| format | Article |
| id | doaj-art-76b2c59af3824c5ca56a8581de902f14 |
| institution | Kabale University |
| issn | 1551-0018 |
| language | English |
| publishDate | 2012-06-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | Mathematical Biosciences and Engineering |
| spelling | doaj-art-76b2c59af3824c5ca56a8581de902f142025-01-24T02:07:00ZengAIMS PressMathematical Biosciences and Engineering1551-00182012-06-019353955210.3934/mbe.2012.9.539Impact of vaccine arrival on the optimal control of a newly emerging infectious disease: A theoretical studyBruno Buonomo0Eleonora Messina1Department of Mathematics and Applications, University of Naples Federico II, via Cintia, I-80126 NaplesDepartment of Mathematics and Applications, University of Naples Federico II, via Cintia, I-80126 NaplesWhen a newly emerging human infectious disease spreads through a host population, it may be that public health authorities must begin facing the outbreaks and planning an intervention campaign when not all intervention tools are readily available. In such cases, the problem of finding optimal intervention strategies to minimize both the disease burden and the intervention costs may be addressed by considering multiple intervention regimes. In this paper, we consider the scenario in which authorities may rely initially only on non-pharmaceutical interventions at the beginning of the campaign, knowing that a vaccine will later be available, at an exogenous and known switching time. We use a two-stage optimal control problem over a finite time horizon to analyze the optimal intervention strategies during the whole campaign, and to assess the effects of the new intervention tool on the preceding stage of the campaign. We obtain the optimality systems of two connected optimal control problems, and show the solution profiles through numerical simulations.https://www.aimspress.com/article/doi/10.3934/mbe.2012.9.539two-stageepidemic modelsvaccination.optimal controlnon-pharmaceutical intervention |
| spellingShingle | Bruno Buonomo Eleonora Messina Impact of vaccine arrival on the optimal control of a newly emerging infectious disease: A theoretical study Mathematical Biosciences and Engineering two-stage epidemic models vaccination. optimal control non-pharmaceutical intervention |
| title | Impact of vaccine arrival on the optimal control of a newly emerging infectious disease: A theoretical study |
| title_full | Impact of vaccine arrival on the optimal control of a newly emerging infectious disease: A theoretical study |
| title_fullStr | Impact of vaccine arrival on the optimal control of a newly emerging infectious disease: A theoretical study |
| title_full_unstemmed | Impact of vaccine arrival on the optimal control of a newly emerging infectious disease: A theoretical study |
| title_short | Impact of vaccine arrival on the optimal control of a newly emerging infectious disease: A theoretical study |
| title_sort | impact of vaccine arrival on the optimal control of a newly emerging infectious disease a theoretical study |
| topic | two-stage epidemic models vaccination. optimal control non-pharmaceutical intervention |
| url | https://www.aimspress.com/article/doi/10.3934/mbe.2012.9.539 |
| work_keys_str_mv | AT brunobuonomo impactofvaccinearrivalontheoptimalcontrolofanewlyemerginginfectiousdiseaseatheoreticalstudy AT eleonoramessina impactofvaccinearrivalontheoptimalcontrolofanewlyemerginginfectiousdiseaseatheoreticalstudy |