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

被引：11
|
作者：
Evirgen, Firat [1 ]
Ucar, Esmehan [1 ]
Ozdemir, Necati [1 ]
Altun, Eren [2 ]
Abdeljawad, Thabet [3 ,4 ,5 ]
机构：
[1] Balikesir Univ, Dept Math, Balikesir, Turkiye
[2] Univ Hlth Sci, Bagcilar Training & Res Hosp, Dept Pathol, Istanbul, Turkiye
[3] Prince Sultan Univ, Dept Math & Sci, Riyadh 11586, Saudi Arabia
[4] China Med Univ, Dept Med Res, Taichung 40402, Taiwan
[5] Kyung Hee Univ, Dept Math, 26 Kyungheedae Ro, Seoul 02447, South Korea
来源：
FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY | 2023年 / 31卷 / 04期
关键词：
Hepatitis C Model; Fractional Derivative; Existence and Uniqueness; Numerical Simulations; IMMUNE-RESPONSES; INFECTION MODEL; SMOKING MODEL; DYNAMICS; HIV;
D O I：
10.1142/S0218348X23400650
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
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.
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页数：12
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