THE IMPACT OF NONSINGULAR MEMORY ON THE MATHEMATICAL MODEL OF HEPATITIS C VIRUS
Fırat Evirgen, Esmehan Uçar, Necati Özdemir, Eren Altun, Thabet Abdeljawad
Abstract
In this research, we examine the nonsingular memory effect when implementing the Atangana–Baleanu (AB) fractional derivative in the Caputo sense to the Hepatitis C virus (HCV) model. For this purpose, first, the sufficient conditions for the existence and uniqueness of the solutions under the AB fractional derivative of the model are expressed and proved. Therewithal, in order to show the response of the AB derivative on the system dynamics practically, a new version of the predictor–corrector method is used with the newly estimated model parameters from the literature. Finally, we provide some simulations of the results.
Topics & Concepts
Invertible matrixUniquenessFractional calculusApplied mathematicsDerivative (finance)MathematicsPure mathematicsOrder (exchange)Mathematical analysisFinanceEconomicsFinancial economicsFractional Differential Equations SolutionsLiver Disease Diagnosis and TreatmentHepatitis C virus research