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ANALYSIS OF A NONLINEAR DYNAMICAL MODEL OF HEPATITIS B DISEASE

School of Statistics and Mathematics, Guangdong University of Finance and Economics, Big Data and Educational Statistics Application Laboratory, Guangzhou 510320, P. R. China

School of Statistics and Mathematics, Guangdong University of Finance and Economics, Guangzhou 510320, P. R. China

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WEI-YUN SHEN

Zhejiang Provincial Key Laboratory of Media Biology and Pathogenic Control, Central Laboratory, Huzhou University, Huzhou 313000, P. R. China

The First People’s Hospital of Huzhou, 158 Guangchanghou Road, Huzhou 313000, P. R. China

E-mail Address: shenweiyuan2021@126.com

Corresponding author.

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, and

ANWARUD DIN

Department of Mathematics, Sun Yat-sen University, Guangzhou 510275, P. R. China

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https://doi.org/10.1142/S0218348X22401272Cited by:1 (Source: Crossref)

This article is part of the issue:

Special Issue on Fractal AI-Based Analyses and Applications to Complex Systems: Part III
Lead Guest Editors: Yeliz Karaca & Dumitru Baleanu
Guest Editors: Majaz Moonis, Yu-Dong Zhang & Osvaldo Gervasi

Abstract

Mathematical epidemiology holds prime importance for comprehending the dynamics of infectious diseases. Consequently, mathematical model of hepatitis B with fractional-order derivative under Caputo sense is primarily focused in this research. The analysis of the required solution is qualitatively derived by applying the fixed-point theory approach. By perturbing the proposed model, the Ulam–Hyer’s stability techniques are further derived. To achieve the iterative series solution of the proposed system of hepatitis, the modified Euler method like Taylor’s series method is utilized. For validation and importance of the fractional operators, sufficient significant numerical results at various fractional orders are presented and compared them with the integer order. It is inferred from this research that, by using the fractional-order method, the transmission mechanism of hepatitis B disease can be acutely revealed. This study may provide positive theoretical support for the prevention and treatment of hepatitis B disease.

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Vol. 30, No. 05

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History

Received 15 February 2021

Accepted 22 August 2021

Published: May 27, 2022

Information

This is an Open Access article in the “Special Issue Section on Fractal AI-Based Analyses and Applications to Complex Systems: Part III”, edited by Yeliz Karaca (University of Massachusetts Medical School, USA), Dumitru Baleanu (Cankaya University, Turkey), Majaz Moonis (University of Massachusetts Medical School, USA), Yu-Dong Zhang (University of Leicester, UK) & Osvaldo Gervasi (Perugia University, Italy) published by World Scientific Publishing Company. It is distributed under the terms of the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 (CC-BY-NC-ND) License which permits use, distribution and reproduction in any medium, provided the original work is properly cited, the use is non-commercial and no modifications or adaptations are made.

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ANALYSIS OF A NONLINEAR DYNAMICAL MODEL OF HEPATITIS B DISEASE

Abstract

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