Modeling and Analysis of SEIR Model of Hepatitis-\(B\) Virus via Fibonacci Wavelets

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DOI: https://doi.org/10.28924/2291-8639-24-2026-309
Published: Oct 5, 2026
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Naied A. Nayied, Firdous A. Shah, Kottakkaran S. Nisar, Modeling and Analysis of SEIR Model of Hepatitis-\(B\) Virus via Fibonacci Wavelets, Int. J. Anal. Appl., 24 (2026), 309.

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Naied A. Nayied, Firdous A. Shah, Kottakkaran S. Nisar

Abstract

This study aims to examine the dynamics of susceptible, exposed, infected, and recovered individuals in the context of hepatitis-\(B\) model. This is achieved by developing an efficient numerical scheme based on Fibonacci wavelets for solving the hepatitis-\(B\) model. The proposed method employs operational matrices derived from Fibonacci wavelets to convert the given system of differential equations into a system of algebraic equations, solved via the Newton-Raphson method in MATLAB. The effects of hepatocyte death and virus production rates on healthy cells, infected cells, and viral load are analyzed to capture key aspects of disease progression. Comparative analysis with ND solve and Haar wavelet methods demonstrates that the proposed method yields accurate and efficient results. The numerical findings confirm the potential of Fibonacci wavelets as a reliable computational tool for studying infectious disease dynamics.

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