Analysis of fractional-order vaccinated Hepatitis-B epidemic model with Mittag-Leffler kernels
Anwarud Din, Muhammad Zainul Abidin
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.
Topics & Concepts
Order (exchange)Epidemic modelVirologyMathematicsMedicineApplied mathematicsEnvironmental healthEconomicsFinancePopulationFractional Differential Equations SolutionsMathematical and Theoretical Epidemiology and Ecology ModelsCOVID-19 epidemiological studies