ON ANALYSIS OF FRACTIONAL ORDER MATHEMATICAL MODEL OF HEPATITIS B USING ATANGANA–BALEANU CAPUTO (ABC) DERIVATIVE

Anwarud Din, Yongjin Li, Faiz Muhammad Khan, Zia Ullah Khan and Peijiang Liu
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Anwarud Din: Department of Mathematics, Sun Yat-sen University, Guangzhou 510275, P. R. China
Yongjin Li: Department of Mathematics, Sun Yat-sen University, Guangzhou 510275, P. R. China
Faiz Muhammad Khan: ��Department of Mathematics and Statistics, University of Swat, Swat, KP, Pakistan
Zia Ullah Khan: ��Department of Mathematics and Statistics, University of Swat, Swat, KP, Pakistan
Peijiang Liu: ��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

FRACTALS (fractals), 2022, vol. 30, issue 01, 1-18

Abstract: The scaling exponent of a hierarchy of cities used to be regarded as a fractional. This paper investigates a newly constructed system of equation for Hepatitis B disease in sense of Atanganaa–Baleanu Caputo (ABC) fractional order derivative. The proposed approach has five distinctive quantities, namely, susceptible, acute infections, chronic infection, immunized and vaccinated populace. By applying some well-known results of fixed point theory, we find the Ulam–Hyers type stability and qualitative analysis of the candidate solution. The deterministic stability for the proposed system is also computed. We apply well-known transform due to Laplace and decomposition techniques (LADM) and Adomian polynomial for nonlinear terms for computing the series solution for the proposed model. Graphical results show that LADM is an efficient and robust method for solving nonlinear problems.

Keywords: Fractional Order HBV Model; Stability Analysis; ABC Derivative; Fixed Point Theorem; Numerical Simulation (search for similar items in EconPapers)
Date: 2022
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DOI: 10.1142/S0218348X22400175

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