{"title":"通过比较直接法和庞特里亚金极大值原理解决最优控制问题,联合治疗对慢性乙型肝炎病毒的影响","authors":"J. Ntaganda","doi":"10.1504/ijcsm.2021.116765","DOIUrl":null,"url":null,"abstract":"This paper aims at using direct approach and Pontryagin's maximum principle to solve a hepatitis B virus dynamics optimal control problem. The controls consist of combination therapy of two treatments. The numerical implementation is done using MATLAB packages. Comparative results from these two methods show they are so close in optimal trajectories of determinant variables. Furthermore, both numerical methods are in good agreement with experimental data. In particular, combination of two treatments controls hepatitis B virus to ensure healthy.","PeriodicalId":399731,"journal":{"name":"Int. J. Comput. Sci. Math.","volume":"8 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2021-07-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Effects of combination of therapies on chronic hepatitis B virus through resolution of an optimal control problem using comparative of direct method and Pontryagin's maximum principle\",\"authors\":\"J. Ntaganda\",\"doi\":\"10.1504/ijcsm.2021.116765\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"This paper aims at using direct approach and Pontryagin's maximum principle to solve a hepatitis B virus dynamics optimal control problem. The controls consist of combination therapy of two treatments. The numerical implementation is done using MATLAB packages. Comparative results from these two methods show they are so close in optimal trajectories of determinant variables. Furthermore, both numerical methods are in good agreement with experimental data. In particular, combination of two treatments controls hepatitis B virus to ensure healthy.\",\"PeriodicalId\":399731,\"journal\":{\"name\":\"Int. J. Comput. Sci. Math.\",\"volume\":\"8 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2021-07-25\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Int. J. Comput. Sci. Math.\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1504/ijcsm.2021.116765\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Int. J. Comput. Sci. Math.","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1504/ijcsm.2021.116765","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Effects of combination of therapies on chronic hepatitis B virus through resolution of an optimal control problem using comparative of direct method and Pontryagin's maximum principle
This paper aims at using direct approach and Pontryagin's maximum principle to solve a hepatitis B virus dynamics optimal control problem. The controls consist of combination therapy of two treatments. The numerical implementation is done using MATLAB packages. Comparative results from these two methods show they are so close in optimal trajectories of determinant variables. Furthermore, both numerical methods are in good agreement with experimental data. In particular, combination of two treatments controls hepatitis B virus to ensure healthy.