Existence and uniqueness of solution for a fractional hepatitis B model

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.

Keywords

• hepatits b
• fractional-order differential equations
• parameter estimation
• numerical simulations
• predictor-corrector method
• 37a50
• 60h10
• 60j65
• 60j70