Optimal control of combined antiretroviral therapies in an HIV infection model with cure rate and fusion effect  

作　　者：Bhagya Jyoti Nath Kaushik Dehingia Khadijeh Sadri Hemanta Kumar Sarmah Kamyar Hosseini Choonkil Park 

机构地区：[1]Department of Mathematics,Barnagar College Sorbhog 781317,Barpeta,Assam,India [2]Department of Mathematics,Sonari College Sonari 785690,Charaideo,Assam,India [3]Department of Mathematics,Rasht Branch Islamic Azad University,Rasht,Iran [4]Department of Mathematics,Gauhati University Guwahati781014,Assam,India [5]Department of Mathematics,Near East University TRNC Mersin10,Turkey [6]Research Institute for Natural Sciences Hanyang University,Seoul 04763,South Korea

出　　处：《International Journal of Biomathematics》2023年第1期29-51,共23页生物数学学报（英文版）

摘　　要：This paper mainly targets to deduce an optimal treatment strategy for combined antiretroviral drugs,which can maximize healthy CD4^(+)T cells level with minimum side effects and cost.For this purpose,we consider a within-host treatment model for the HIV infection with two controls incorporating full logistic proliferation of healthy CD4^(+)T cells,cure rate and fusion effect.These two controls represent the effects of reverse transcriptase inhibitors(RTIs)and protease inhibitors(PIs),respectively.The model analysis begins with proving different basic properties like non-negativity,boundedness of the model solutions and calculation of the basic reproduction number of the model under consideration.Then,stability results are obtained for HIV infection-free equilibrium point and also,a critical efficacy for the combined therapies is calculated.After that,the optimal control problem is proposed and solved numerically using a forwardbackward iterative method.Finally,we obtain an optimal treatment strategy that can maximize healthy CD4^(+)T cells count and control the viral load,and HIV-infected CD4^(+)T cells count to an undetectable level resulting in improved health conditions of infected individuals.

关 键 词：HIV infection antiretroviral drugs critical efficacy optimal control Pontryagin's maximum principle. 

分 类 号：O17[理学—数学]