@article{article_1275813, title={Analysis of fractional-order vaccinated Hepatitis-B epidemic model with Mittag-Leffler kernels}, journal={Mathematical Modelling and Numerical Simulation with Applications}, volume={2}, pages={59–72}, year={2022}, DOI={10.53391/mmnsa.2022.006}, url={https://izlik.org/JA69GZ67BE}, author={Din, Anwarud and Abidin, Muhammad Zainul}, keywords={Fractional calculus, fractional-order model, hepatitis-B disease, ABC derivative, fixed-point theorem, numerical simulation}, abstract={The current paper investigates a newly developed model for Hepatitis-B infection in sense of the Atangana-Baleanu Caputo (ABC) fractional-order derivative. The proposed technique classifies the population into five distinct categories, such as susceptible, acute infections, chronic infections, vaccinated, and immunized. We obtain the Ulam-Hyers type stability and a qualitative study of the corresponding solution by applying a well-known principle of fixed point theory. Furthermore, we establish the deterministic stability of the proposed model. For the approximation of the ABC fractional derivative, we use a newly proposed numerical method. The obtained results are numerically verified by MATLAB 2020a.}, number={2}