Authors:
Sharmin Sultana Shanta,M. Ali Akbar,DOI NO:
https://doi.org/10.26782/jmcms.2025.09.00010Keywords:
Mathematical model,Laplace Adomian decomposition method (LADM),Runge-Kutta 4th order (RK4) method,Abstract
The Ebola virus is a highly contagious disease that originates from wild animals and transmits to humans through direct contact with tainted blood, bodily fluids, or contaminated materials. In this article, we investigate the transmission dynamics of the Ebola virus through the fractional-order SEIR model. We aim to find the analytical solution of the fractional model along with its numerical solution. The Laplace Adomian decomposition method (LADM) is implemented to find the analytical solution of the model, and the accuracy of the results is verified numerically via the fractional Runge-Kutta 4th order (RK4) scheme. The findings reveal the potential role of a fractional-order parameter that influences the behavior of the epidemic. The LADM and RK4 solutions indicate coherence when the fractional parameter gets closer to 1. The results could help control the real-world epidemic scenarios.Refference:
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