Dynamical analysis of a class of hepatitis C virus infection models with application of optimal control

作     者：Aida Mojaver HosseinKheiri 

作者机构：Faculty of Mathematical SciencesUniversity of Tabriz Tabriz Iran 

出 版 物：《International Journal of Biomathematics》 (生物数学学报（英文版）)

年 卷 期：2016年第9卷第3期

页      面：97-119页

核心收录：

学科分类：07[理学] 08[工学] 09[农学] 071007[理学-遗传学] 070105[理学-运筹学与控制论] 090102[农学-作物遗传育种] 071101[理学-系统理论] 0710[理学-生物学] 0711[理学-系统科学] 0901[农学-作物学] 0836[工学-生物工程] 081101[工学-控制理论与控制工程] 0811[工学-控制科学与工程] 0701[理学-数学] 

主　　题：Hepatitis C virus (HCV) interferon ribavirin Lyapunov function globalstability optimal control. 

摘      要：In this paper, we deal with the problem of optimal control of a deterministic model of hepatitis C virus （HCV）. In the first part of our analysis, a mathematical modeling of HCV dynamics which can be controlled by antiretroviral therapy as fixed controls has been presented and analyzed which incorporates two mechanisms： infection by free virions and the direct cell-to-cell transmission. Basic reproduction number is calculated and the existence and stability of equilibria are investigated. In the second part, the optimal control problem representing drug treatment strategies of the model is explored considering control parameters as time-dependent in order to minimize not only the population of infected cells but also the associated costs. At the end of the paper, the impact of combination of the strategies in the control of HCV and their effectiveness are compared by numerical simulation.