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dc.contributor.authorCastilho, Cesar ( Orcid Icon 0000-0001-7820-5119 )
dc.date.accessioned2021-07-20T19:14:11Z
dc.date.available2021-07-20T19:14:11Z
dc.date.issued2006-10-11
dc.identifier.citationCastilho, C. (2006). Optimal control of an epidemic through educational campaigns. Electronic Journal of Differential Equations, 2006(125), pp. 1-11.en_US
dc.identifier.issn1072-6691
dc.identifier.urihttps://digital.library.txstate.edu/handle/10877/13998
dc.description.abstractIn this work we study the best strategy for educational campaigns during the outbreak of an epidemic. Assuming that the epidemic is described by the simplified SIR model and that the total time of the campaign is limited due to budget, we consider two possible scenarios. In the first scenario we have a campaign oriented to decrease the infection rate by stimulating susceptibles to have a protective behavior. In the second scenario we have a campaign oriented to increase the removal rate by stimulating the infected to remove themselves from the infected class. The optimality is taken to be to minimize the total number of infected by the end of the epidemic outbreak. The technical tool used to determine the optimal strategy is the Pontryagin Maximum Principle.en_US
dc.formatText
dc.format.extent11 pages
dc.format.medium1 file (.pdf)
dc.language.isoenen_US
dc.publisherTexas State University-San Marcos, Department of Mathematicsen_US
dc.sourceElectronic Journal of Differential Equations, 2006, San Marcos, Texas: Texas State University-San Marcos and University of North Texas.
dc.subjectEpidemicen_US
dc.subjectOptimal controlen_US
dc.subjectEducational campaignen_US
dc.titleOptimal control of an epidemic through educational campaignsen_US
dc.typepublishedVersion
txstate.documenttypeArticle
dc.rights.licenseCreative Commons License
This work is licensed under a Creative Commons Attribution 4.0 International License.


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