System Analysis of HIV Infection Model with <i>CD</i> 4 <sup>+</sup> <i>T</i> under Non-Singular Kernel Derivative
Fırat Evirgen, Sümeyra Uçar, Necati Özdemir
Abstract
Abstract Infectious diseases have caused the death of many people throughout the world for centuries. For this purpose, many researchers have investigated these diseases for establishing new treatment and protective measures. The most important of these is HIV disease. In this study, an HIV infection model of CD 4 + T cells is handled comprehensively with the newly defined Atangana-Baleanu (AB) fractional derivative. The existence and uniqueness of the solutions for fractionalized HIV disease model with the new derivative by considering the Arzela-Ascoli theorem.
Topics & Concepts
Human immunodeficiency virus (HIV)UniquenessDerivative (finance)Kernel (algebra)DiseaseFractional calculusMathematicsPure mathematicsVirologyApplied mathematicsCalculus (dental)MedicineImmunologyMathematical analysisInternal medicineBusinessFinanceDentistryFractional Differential Equations SolutionsNonlinear Differential Equations AnalysisMathematical and Theoretical Epidemiology and Ecology Models