SVEIR Ebola epidemic modeling in fuzzy environment

The paper focuses on studying a fuzzy SVEIR model to describe the transmission of the Ebola virus, considering the inherent uncertainty in biological parameters. This model is transformed into a system of ordinary differential equations for further analysis. We compute the basic reproduction number and perform a stability analysis for both equilibria. Using Lyapunov functions and a geometric approach, we establish the global asymptotic stability of the equilibria. Additionally, we demonstrate the uniform persistence of the model. To validate our theoretical findings, we conduct numerical simulations incorporating imprecise transmission parameters represented by triangular fuzzy numbers and sensitivity analysis.