{"title":"Optimal antiviral treatment strategies for the control of pandemic influenza","authors":"Qingxin Zhang","doi":"10.1109/ICCWAMTIP.2014.7073427","DOIUrl":null,"url":null,"abstract":"This paper discusses an optimal antiviral treatment strategy for the outbreak of influenza. The optimal control problem is formulated by minimizing the number of infected individuals at a minimal intervention cost. The existence of an optimal solution for the control problem is proved. In addition, with the Pontryagin's Maximum Principle, the time-varying optimal strategy of antiviral treatment is obtained.","PeriodicalId":211273,"journal":{"name":"2014 11th International Computer Conference on Wavelet Actiev Media Technology and Information Processing(ICCWAMTIP)","volume":"25 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2014-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"2014 11th International Computer Conference on Wavelet Actiev Media Technology and Information Processing(ICCWAMTIP)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ICCWAMTIP.2014.7073427","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
This paper discusses an optimal antiviral treatment strategy for the outbreak of influenza. The optimal control problem is formulated by minimizing the number of infected individuals at a minimal intervention cost. The existence of an optimal solution for the control problem is proved. In addition, with the Pontryagin's Maximum Principle, the time-varying optimal strategy of antiviral treatment is obtained.
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