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

Anwarud Din; Muhammad Zainul Abidin

doi:10.53391/mmnsa.2022.006

EN

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

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.

Keywords

Fractional calculus, fractional-order model, hepatitis-B disease, ABC derivative, fixed-point theorem, numerical simulation

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Details

Primary Language

English

Subjects

Bioinformatics and Computational Biology, Applied Mathematics

Journal Section

Research Article

Authors

Anwarud Din ^* This is me
0000-0003-0463-0360
China

Muhammad Zainul Abidin This is me
0000-0001-8567-0676
China

Publication Date

June 30, 2022

Submission Date

March 22, 2022

Acceptance Date

May 24, 2022

Published in Issue

Year 2022 Volume: 2 Number: 2

DOI

https://doi.org/10.53391/mmnsa.2022.006

IZ

https://izlik.org/JA69GZ67BE

APA

Din, A., & Abidin, M. Z. (2022). Analysis of fractional-order vaccinated Hepatitis-B epidemic model with Mittag-Leffler kernels. Mathematical Modelling and Numerical Simulation With Applications, 2(2), 59-72. https://doi.org/10.53391/mmnsa.2022.006

AMA

1.Din A, Abidin MZ. Analysis of fractional-order vaccinated Hepatitis-B epidemic model with Mittag-Leffler kernels. MMNSA. 2022;2(2):59-72. doi:10.53391/mmnsa.2022.006

Chicago

Din, Anwarud, and Muhammad Zainul Abidin. 2022. “Analysis of Fractional-Order Vaccinated Hepatitis-B Epidemic Model With Mittag-Leffler Kernels”. Mathematical Modelling and Numerical Simulation With Applications 2 (2): 59-72. https://doi.org/10.53391/mmnsa.2022.006.

EndNote

Din A, Abidin MZ (June 1, 2022) Analysis of fractional-order vaccinated Hepatitis-B epidemic model with Mittag-Leffler kernels. Mathematical Modelling and Numerical Simulation with Applications 2 2 59–72.

IEEE

[1]A. Din and M. Z. Abidin, “Analysis of fractional-order vaccinated Hepatitis-B epidemic model with Mittag-Leffler kernels”, MMNSA, vol. 2, no. 2, pp. 59–72, June 2022, doi: 10.53391/mmnsa.2022.006.

ISNAD

Din, Anwarud - Abidin, Muhammad Zainul. “Analysis of Fractional-Order Vaccinated Hepatitis-B Epidemic Model With Mittag-Leffler Kernels”. Mathematical Modelling and Numerical Simulation with Applications 2/2 (June 1, 2022): 59-72. https://doi.org/10.53391/mmnsa.2022.006.

JAMA

1.Din A, Abidin MZ. Analysis of fractional-order vaccinated Hepatitis-B epidemic model with Mittag-Leffler kernels. MMNSA. 2022;2:59–72.

MLA

Din, Anwarud, and Muhammad Zainul Abidin. “Analysis of Fractional-Order Vaccinated Hepatitis-B Epidemic Model With Mittag-Leffler Kernels”. Mathematical Modelling and Numerical Simulation With Applications, vol. 2, no. 2, June 2022, pp. 59-72, doi:10.53391/mmnsa.2022.006.

Vancouver

1.Anwarud Din, Muhammad Zainul Abidin. Analysis of fractional-order vaccinated Hepatitis-B epidemic model with Mittag-Leffler kernels. MMNSA. 2022 Jun. 1;2(2):59-72. doi:10.53391/mmnsa.2022.006

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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

Abstract

Keywords

Abstract

References

Details

Primary Language

Subjects

Journal Section

Authors

Publication Date

Submission Date

Acceptance Date

Published in Issue

DOI

IZ

Cite

Cited By

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The impact of dual time delay and Caputo fractional derivative on the long-run behavior of a viral system with the non-cytolytic immune hypothesis

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A study on fractional tumor-immune interaction model related to lung cancer via generalized Laguerre polynomials

On the Riemann–Liouville fractional q -calculus operator involving q -Mittag–Leffler function

Mathematical modeling and computational analysis of hepatitis B virus transmission using the higher-order Galerkin scheme

Analysis of Cauchy problems for variable-order derivatives with Mittag-Leffler kernel

A study of fractional optimal control of overweight and obesity in a community and its impact on the diagnosis of diabetes