Optimal Control Design of the In-vivo HIV Fractional Model
Zainab A. Lazima, Sanaa L. Khalaf
Abstract
HIV is a leading cause of death, in particular, in Sub-Saharan Africa. In this paper, a fractional differential system in vivo deterministic models for HIV dynamics is presented and analyzed. The main roles played by different HIV treatment methods are investigated using fractional optimal control theory. We use three treatment regimens as system control variables to determine the best strategies for controlling the infection. The optimality system is numerically solved using the fractional Adams-Bashforth technique.
Topics & Concepts
Human immunodeficiency virus (HIV)Fractional calculusIn vivoOptimal controlApplied mathematicsMathematicsControl theory (sociology)Mathematical optimizationControl (management)Computer scienceMedicineVirologyBiologyArtificial intelligenceBiotechnologyFractional Differential Equations SolutionsMathematical and Theoretical Epidemiology and Ecology ModelsNonlinear Differential Equations Analysis