THE IMPACT OF NONSINGULAR MEMORY ON THE MATHEMATICAL MODEL OF HEPATITIS C VIRUS

Firat Evirgen, Esmehan Uã‡ar, Necati Özdemir, Eren Altun and Thabet Abdeljawad
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Firat Evirgen: Department of Mathematics, Balıkesir University, Balıkesir, Turkey
Esmehan Uã‡ar: Department of Mathematics, Balıkesir University, Balıkesir, Turkey
Necati Özdemir: Department of Mathematics, Balıkesir University, Balıkesir, Turkey
Eren Altun: ��Department of Pathology, Baǧcılar Training and Research Hospital, University of Health Sciences, Istanbul, Turkey
Thabet Abdeljawad: ��Department of Mathematics and Sciences, Prince Sultan University, Riyadh 11586, Saudi Arabia§Department of Medical Research, China Medical University, Taichung 40402, Taiwan¶Department of Mathematics, Kyung Hee University, 26 Kyungheedae-ro, Dongdaemun-gu, Seoul 02447, Republic of Korea

FRACTALS (fractals), 2023, vol. 31, issue 04, 1-12

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.

Keywords: Hepatitis C Model; Fractional Derivative; Existence and Uniqueness; Numerical Simulations (search for similar items in EconPapers)
Date: 2023
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DOI: 10.1142/S0218348X23400650

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