Mitigation of Epidemics in Contact Networks through Optimal Contact Adaptation

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dc.contributorVirginia Techen
dc.contributor.authorYoussef, M.en
dc.contributor.authorScoglio, C.en
dc.date.accessed2013-11-21en
dc.date.accessioned2013-12-03T16:26:15Zen
dc.date.available2013-12-03T16:26:15Zen
dc.date.issued2013-08en
dc.description.abstractThis paper presents an optimal control problem formulation to minimize the total number of infection cases during the spread of susceptible-infected-recovered SIR epidemics in contact networks. In the new approach, contact weighted are reduced among nodes and a global minimum contact level is preserved in the network. In addition, the infection cost and the cost associated with the contact reduction are linearly combined in a single objective function. Hence, the optimal control formulation addresses the tradeoff between minimization of total infection cases and minimization of contact weights reduction. Using Pontryagin theorem, the obtained solution is a unique candidate representing the dynamical weighted contact network. To find the near-optimal solution in a decentralized way, we propose two heuristics based on Bang-Bang control function and on a piecewise nonlinear control function, respectively. We perform extensive simulations to evaluate the two heuristics on different networks. Our results show that the piecewise nonlinear control function outperforms the well-known Bang-Bang control function in minimizing both the total number of infection cases and the reduction of contact weights. Finally, our results show awareness of the infection level at which the mitigation strategies are effectively applied to the contact weights.en
dc.description.sponsorshipNational Agricultural Biosecurity Center at Kansas State Universityen
dc.description.sponsorshipNational Science Foundation EPS-0919443en
dc.description.sponsorshipNational Institutes of Health and National Institute of General Medical Sciences_Models of Infectious Disease Agent Study Grant 2U01GM070694-09en
dc.format.mimetypeapplication/pdfen
dc.identifier.citationYoussef, M.; Scoglio, C., "Mitigation of epidemics in contact networks through optimal contact adaptation," Math Biosci Eng. 10(4), 1227-51, (2013); DOI: 10.3934/mbe.2013.10.1227en
dc.identifier.doihttps://doi.org/10.3934/mbe.2013.10.1227en
dc.identifier.issn1547-1063en
dc.identifier.urihttp://hdl.handle.net/10919/24368en
dc.identifier.urlhttp://www.aimsciences.org/journals/pdfs.jsp?paperID=8700&mode=fullen
dc.language.isoenen
dc.publisherAmerican Institute of Mathematical Sciencesen
dc.rightsIn Copyrighten
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subjectSpread of epidemicsen
dc.subjectoptimal control of epidemicsen
dc.subjectadaptive contact networksen
dc.subjectnetwork-based approachen
dc.subjectbehavioral responsesen
dc.subjectmodelsen
dc.subjecttransmissionen
dc.subjectstrategiesen
dc.subjectoutbreaksen
dc.subjectscaleen
dc.titleMitigation of Epidemics in Contact Networks through Optimal Contact Adaptationen
dc.title.serialMathematical Biosciences and Engineeringen
dc.typeArticle - Refereeden
dc.type.dcmitypeTexten

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Destination Area: Global Systems Science (GSS)