{"title":"控制大流行性流感的最佳抗病毒治疗策略","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":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2014-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"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\":null,\"pages\":null},\"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}","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}
Optimal antiviral treatment strategies for the control of pandemic influenza
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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