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Optimal treatment strategies to control acute HIV infection

Infectious Disease Modelling 2021年第1期6卷 1202-1219页

作者： Shohel Ahmed Sumaiya Rahman Md Kamrujjaman Department of Mathematics Bangladesh University of Engineering and TechnologyDhaka1000Bangladesh Department of Statistics University of DhakaDhaka1000Bangladesh Department of Mathematics University of DhakaDhaka1000Bangladesh

Various antiretroviral therapies(ART)are administered to symptomatic human immunodeficiency virus(HIV)infected individuals to improve their *** treatment effectiveness may depend on suppressing development of drug resistance,reduce evolution of new viral strains,minimize serious side effects and the costs of *** paper deals with some results concerning optimal drug administration scheme successful in improving patients'health especially in poorly resourced *** model under consideration describes the interaction between the uninfected cells,the latently infected cells,the productively infected cells,and the free ***,in viral infection,the drug strategy aspects either the virus infectivity or reduce the virion *** mathematical model proposed here,deals with both situations with the objective function based on a combination of maximizing benefit relied on T cells count(the white cells that coordinate activities of the immune system)and minimizing the systemic *** existence of the optimal control pair is established and the Pontryagin's minimum principle is used to characterize these two optimal *** optimality system is derived and solved numerically using the forward and backward sweep method(FBSM).Our results indicate that early initiation of treatment makes a profound impact in both improving the quality of life and reducing the economic costs of therapy.

关键词： HIV Mathematical model critical efficacy Optimal control Combined therapy

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

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International Journal of Biomathematics 2023年第1期16卷 29-51页

作者： Bhagya Jyoti Nath Kaushik Dehingia Khadijeh Sadri Hemanta Kumar Sarmah Kamyar Hosseini Choonkil Park Department of Mathematics Barnagar College Sorbhog 781317BarpetaAssamIndia Department of Mathematics Sonari College Sonari 785690CharaideoAssamIndia Department of Mathematics Rasht Branch Islamic Azad UniversityRashtIran Department of Mathematics Gauhati University Guwahati781014AssamIndia Department of Mathematics Near East University TRNC Mersin10Turkey Research Institute for Natural Sciences Hanyang University Seoul 04763South Korea

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 *** 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 *** two controls represent the effects of reverse transcriptase inhibitors(RTIs)and protease inhibitors(PIs),*** 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 ***,stability results are obtained for HIV infection-free equilibrium point and also,a critical efficacy for the combined therapies is *** that,the optimal control problem is proposed and solved numerically using a forwardbackward iterative ***,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.

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