Analytical and numerical study of the HIV‐1 infection of CD4<sup>+</sup> T‐cells conformable fractional mathematical model that causes acquired immunodeficiency syndrome with the effect of antiviral drug therapy
Khalid K. Ali, M.S. Osman, Hacı Mehmet Başkonuş, Nasser S. Elazabb, Esin İlhan
Abstract
In this paper, we introduce a numerical and analytical study of the HIV‐1 infection of CD4 + T‐cells conformable fractional mathematical model. This model is studied analytically by Kudryashov and modified Kudryashov methods and numerically by finite difference method. A comparison between the results of the analytical and numerical methods is investigated. We also give some figures that show how accurate the solutions will be obtained from analytical and numerical methods.
Topics & Concepts
Conformable matrixHuman immunodeficiency virus (HIV)MathematicsApplied mathematicsNumerical analysisFractional calculusFinite difference methodMathematical analysisMedicinePhysicsVirologyQuantum mechanicsFractional Differential Equations SolutionsMathematical and Theoretical Epidemiology and Ecology ModelsNonlinear Differential Equations Analysis