ON FRACTAL FRACTIONAL HEPATITIS B EPIDEMIC MODEL WITH MODIFIED VACCINATION EFFECTS

Qura Tul Ain and Yu-Ming Chu
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Qura Tul Ain: Department of Mathematics, Guizhou University, Guiyang, Guizhou 550025, P. R. China
Yu-Ming Chu: ��Institute for Advanced Study Honoring Chen Jian Gong, Hangzhou Normal University, Hangzhou 311121, P. R. China‡Department of Mathematics, Huzhou University, Huzhou 313000, P. R. China

FRACTALS (fractals), 2023, vol. 31, issue 10, 1-10

Abstract: Fractional calculus is strongly tied to the dynamics of complicated real-world phenomena. The goal of this study is to employ a fractal fractional mathematical model with vaccine effects to solve HBV infection. We provide a novel numerical technique for fractal–fractional model with many graphical results. Moreover, we present by comparing these two operators for many values of the fractal and fractional order parameters g and w. The effects of vaccination have been examined more thoroughly because vaccination results are not cent percent in some epidemic circumstances, e.g. vaccinated people can also be deemed as susceptible people. The dynamical behavior of the fractal–fractional HBV model with modified vaccination effects is examined utilizing the Atangana–Baleanu approach.

Keywords: Fractional Calculus; ABC Fractal Fractional Derivative; HBV Virus; Vaccination Effects; Numerical Simulation (search for similar items in EconPapers)
Date: 2023
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DOI: 10.1142/S0218348X23400066

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