ANALYSIS OF A NONLINEAR DYNAMICAL MODEL OF HEPATITIS B DISEASE

Peijiang Liu, Wei-Yun Shen and Anwarud Din
Additional contact information
Peijiang Liu: School of Statistics and Mathematics, Guangdong University of Finance and Economics, Big Data and Educational Statistics Application Laboratory, Guangzhou 510320, P. R. China2School of Statistics and Mathematics, Guangdong University of Finance and Economics, Guangzhou 510320, P. R. China
Wei-Yun Shen: Zhejiang Provincial Key Laboratory of Media Biology and Pathogenic Control, Central Laboratory, Huzhou University, Huzhou 313000, P. R. China4The First People’s Hospital of Huzhou, 158 Guangchanghou Road, Huzhou 313000, P. R. China
Anwarud Din: Department of Mathematics, Sun Yat-sen University, Guangzhou 510275, P. R. China

FRACTALS (fractals), 2022, vol. 30, issue 05, 1-13

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.

Keywords: Fractional Model of Hepatitis B; Existence and Uniqueness Results; Modified Euler Method; Fractional Stability; Numerical Simulation (search for similar items in EconPapers)
Date: 2022
References: Add references at CitEc
Citations:

Downloads: (external link)
http://www.worldscientific.com/doi/abs/10.1142/S0218348X22401272
Access to full text is restricted to subscribers

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:wsi:fracta:v:30:y:2022:i:05:n:s0218348x22401272

Ordering information: This journal article can be ordered from

DOI: 10.1142/S0218348X22401272

Access Statistics for this article

FRACTALS (fractals) is currently edited by Tara Taylor

More articles in FRACTALS (fractals) from World Scientific Publishing Co. Pte. Ltd.
Bibliographic data for series maintained by Tai Tone Lim ().