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

作　　者：Aida Mojaver HosseinKheiri 

机构地区：[1]Faculty of Mathematical SciencesUniversity of Tabriz, Tabriz, Iran

出　　处：《International Journal of Biomathematics》2016年第3期97-119,共23页生物数学学报（英文版）

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.

关 键 词：Hepatitis C virus （HCV） INTERFERON RIBAVIRIN Lyapunov function GLOBALSTABILITY optimal control. 

分 类 号：Q78[生物学—分子生物学] O232[理学—运筹学与控制论]