Homotopy decomposition method to analysis fractional hepatitis B virus infection model

Mathematical models have been employed to investigate the factors that govern the progression of infectious diseases in viral infections. This article investigates a fractionalised model for hepatitis B virus infection, curing infected cells. We analysed the fractional hepatitis B virus infection mo...

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Bibliographic Details
Published in:Applied mathematics in science and engineering 2023-12, Vol.31 (1)
Main Authors: Gour, M. M., Yadav, L. K., Purohit, S. D., Suthar, D. L.
Format: Article
Language:English
Subjects:
Decomposition
fixed point theorem
Fractional calculus
hbv infection model
Hepatitis B
homotopy decomposition technique
Infections
Infectious diseases
Mathematical models
riemann–liouville fractional derivative
Viral infections
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Summary:Mathematical models have been employed to investigate the factors that govern the progression of infectious diseases in viral infections. This article investigates a fractionalised model for hepatitis B virus infection, curing infected cells. We analysed the fractional hepatitis B virus infection model using the homotopy decomposition method (HDM). Additionally, the existence and uniqueness of the fractional model are considered. The graphical solutions depicted that when introducing a fractional-order derivative to the model, the peak of viral propagation is reduced, and cell damage is minimised by initiating treatment at an early stage; however, the disease takes a longer time to be eradicated. The outcomes may also be valuable in the fields of clinical science and medicine. This model provided insights into the natural history of HBV infection, including the different stages of infection (acute, chronic, and resolved) and the likelihood of progression from one stage to another. This information is essential for predicting disease outcomes and planning appropriate clinical management for patients.
ISSN:2769-0911
2769-0911
DOI:10.1080/27690911.2023.2260075