The Analysis of a Co-Dynamic Ebola and Malaria Transmission Model Using the Laplace Adomian Decomposition Method with Caputo Fractional-Order

Abstract

The study presents a novel mathematical framework for addressing Ebola and malaria concerns in Sub-Saharan Africa that combines Laplace transformation with Caputo fractional order derivative. It takes into account socioeconomic aspects that influence disease dynamics and uses the basic reproduction number to quantify transmission dynamics. Extensive numerical simulations using Maple 18 software are used to investigate the effect of fractional order derivatives on disease dynamics. It shows how the Laplace-Adomian decomposition approach simplifies nonlinear equations and generates control solutions. It emphasizes the necessity of turning discoveries into concrete plans and encourages stakeholders to be proactive in implementing them. Overall, the study emphasizes the importance of proactive disease management measures and the promise of novel approaches to treating infectious diseases.  Stakeholders may create a more resilient response to these health emergencies by working together to adopt these measures.