Numerical solution of fractional order model of measles disease with double dose vaccination
Benedict Celestine Agbata, William Obeng–Denteh, J. Amoah-Mensah, P. A. Kwabi, M.M. Shior, F. Asante Mensa, Simon Abraham
Abstract
Measles remains a significant public health concern globally, despite the availability of effective vaccines. In this study, we develop a mathematical model of measles disease that integrates the impact of double dose vaccination and utilize the Laplace Adomian Decomposition Method (LADM) as a numerical approach to obtain solutions for the fractional order differential equations governing the model. The model accounts for the dynamics of susceptible, infected, and vaccinated individuals, considering the transmission dynamics of measles in a population with varying vaccination coverage. LADM, combining the Laplace transform and Adomian decomposition, provides a systematic method to solve the nonlinear fractional differential equations derived from the model, offering insights into the effectiveness of double dose vaccination strategies in controlling measles outbreaks.