Dergiler / Mathematical Modelling and Numerical Simulation with Applications / 2022 / Cilt: 2 Sayı: 2

Analysis of fractional-order vaccinated Hepatitis-B epidemic model with Mittag-Leffler kernels

Analysis of fractional-order vaccinated Hepatitis-B epidemic model with Mittag-Leffler kernels

Anwarud DİN, Muhammad Zainul ABİDİN

Sayfa
59–72
DOI
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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.