Mathematical Modeling of Ebola Virus Disease and Its Analysis

Abstract

Ebola Virus Disease (EVD) is a highly infectious and deadly illness that poses significant public health challenges due to its high transmissible and fatality rates. Mathematical modeling has emerged as a critical tool for understanding the dynamics of EVD transmission, evaluating the effectiveness of intervention strategies and predicting future outbreaks. This study revisits the computational model formulated by Sarjiyus et al. (2017) and proposes modifications to enhance its applicability in real-world scenarios. The modified model incorporates additional parameters and compartments to better capture the treatment and recovery dynamics. Key analyses, including existence and uniqueness of solutions, positivity, disease-free equilibrium and basic reproduction number are performed to validate the modified model. The analysis further illustrate the model’s behavior, offering insights into the effectiveness of control measures and potential strategies for mitigating EVD outbreaks.

DOI: https://doi.org/10.5281/zenodo.18055880