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Existence and uniqueness of solution for a fractional hepatitis B model

Nnaemeka Stanley Aguegboh, Dominic Obinna Oranugo, Phineas Roy Kiogora, Mutua Felix, Onyiaji Netochukwu, Andrew Onyeka Egwu

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Source: Crossref

Published: Jan 1, 2025

DOI: 10.1515/cmb-2024-0009

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Source abstract

Abstract Understanding the dynamics of infectious diseases using mathematical modeling is essential for developing prevention and control measures. Hepatitis B is still a major public health issue in many places, including Kenya, where the high incidence of illness presents serious difficulties. In this article, the existence and uniqueness of solutions for a fractional hepatitis B model in the Caputo sense were explored. Furthermore, using the Adams-type Predictor-Corrector method, numerical simulations of the fractional order model are carried out. The outcomes show how well the suggested control strategies work to stop the spread of hepatitis B virus.

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Existence and uniqueness of solution for a fractional hepatitis B model — Mathematical Frontier Network