Numerical solution of fractional order mathematical model on the transmission dynamics of Ebola Virus Disease using the Laplace-Adomian Decomposition method

Abstract

Ebola Virus Disease (EVD) has been a significant public health concern due to its high mortality rate and potential for widespread outbreaks. This study focuses on the transmission dynamics of EVD, utilizing a fractional-order mathematical model. The model incorporates hospitalization and treatment as critical control measures against the disease. The Laplace-Adomian Decomposition method is employed to approximate series solutions, providing insights into the dynamics of EVD under varying conditions. Numerical simulations conducted using MATLAB highlight that effective treatment and high vaccination coverage are pivotal in controlling the spread of Ebola. Recommendations stemming from the study emphasized the importance of comprehensive vaccination campaigns, strengthened healthcare infrastructure, and community engagement in disease control efforts. Ultimately, this study serves as a valuable tool in understanding and managing Ebola outbreaks, contributing to global health strategies aimed at preventing and mitigating infectious diseases.