TY  - JOUR
T1  - Analysis of fractional-order vaccinated Hepatitis-B epidemic model with Mittag-Leffler kernels
AU  - Din, Anwarud
AU  - Abidin, Muhammad Zainul
PY  - 2022
DA  - June
DO  - 10.53391/mmnsa.2022.006
JF  - Mathematical Modelling and Numerical Simulation with Applications
JO  - MMNSA
PB  - Mehmet YAVUZ
WT  - DergiPark
SN  - 2791-8564
SP  - 59
EP  - 72
VL  - 2
IS  - 2
LA  - en
AB  - 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.
KW  - Fractional calculus
KW  - fractional-order model
KW  - hepatitis-B disease
KW  - ABC derivative
KW  - fixed-point theorem
KW  - numerical simulation
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UR  - https://doi.org/10.53391/mmnsa.2022.006
L1  - https://dergipark.org.tr/en/download/article-file/3054700
ER  -