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  4. Dynamics of a fractional optimal control HBV infection model with capsids and CTL immune response

Dynamics of a fractional optimal control HBV infection model with capsids and CTL immune response

MMC.
2023;
Volume 10, Number 1
: pp. 239–244
https://doi.org/10.23939/mmc2023.01.239
Received: August 15, 2022
Revised: January 09, 2023
Accepted: January 20, 2023

Mathematical Modeling and Computing, Vol. 10, No. 1, pp. 239–244 (2023)

Authors:
  1. M. Ait Ichou
  2. M. Bachraoui
  3. K. Hattaf
  4. N. Yousfi
1
Laboratory of Mathematics and Applications (LMA), Ecole Normale Supérieure, Hassan II University of Casablanca, Casablanca, Morocco
2
Laboratory of Analysis, Modeling and Simulation (LAMS), Faculty of Sciences Ben M'sik, Hassan II University of Casablanca, Casablanca, Morocco
3
Laboratory of Analysis, Modeling and Simulation (LAMS), Faculty of Sciences Ben M'sik, Hassan II University of Casablanca, Casablanca, Morocco; Centre Régional des Métiers de l'Education et de la Formation (CRMEF), Casablanca, Morocco
4
Laboratory of Analysis, Modeling and Simulation (LAMS), Faculty of Sciences Ben M'sik, Hassan II University of Casablanca, Casablanca, Morocco

This paper deals with a fractional optimal control problem model that describes the interactions between hepatitis B virus (HBV) with HBV DNA-containing capsids, liver cells (hepatocytes), and the cytotoxic T-cell immune response.  Optimal controls represent the effectiveness of drug therapy in inhibiting viral production and preventing new infections.  The optimality system is derived and solved numerically.  Our results also show that optimal treatment strategies reduce viral load and increase the number of uninfected cells, which improves the patient's quality of life.

fractional derivative
HBV infection
optimal control
CTL response
numerical simulations
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