Mathematical model of Ebola virus disease through human transmission and bat transmission.

This paper introduces a mathematical model of SEIR for the spread of Ebola disease by appending one bat vector so that the model comes in as SEIR-SEI. We form a mathematical model into a non-linear differential equation system with seven dependent variables, and analyze a non-linear differential equations system to find the basic reproduction numbers and the equilibrium point of the system. Our study reveals that the stability analysis of the disease-free equilibrium is locally asymptotically stable if R₀ < 1 and R₁ < 1 so the infection will disappear from both human and bat populations. This paper also reveals the existence of endemic equilibrium points when R₀ > 1. Numerical simulations are present to figure out the stability analysis of the endemic equilibrium points and to show that the numerical simulations are matching the model analysis. [ABSTRACT FROM AUTHOR]