EXISTENCE OF EQUILIBRIUM POINTS OF THE MATHEMATICAL MODEL OF EBOLA DISEASE DYNAMICS INCORPORATING INFECTION-AGE STRUCTURE IN THE QUARANTINED COMPARTMENT WITH TREATMENT

Abstract

In this paper, we present a mathematical model of Ebola Virus Disease (EVD) dynamics incorporating infection-age structure in the compartment of the quarantined with treatment. The model equations consist of Ordinary and Partial Differential Equations and Integro Differential Equation. We verified the feasible region and the positivity of solution of the model. There exist two equilibria; Disease Free Equilibrium (DFE) and Endemic Equilibrium (EE). The disease free equilibrium (DFE) points were obtained. The disease free equilibrium state describes the total absence of EVD in the studied population and shows the critical points of the model equations.