Dynamical System for Ebola Outbreak within Vaccination Treatment

Abstract

Ebola Virus Disease (EVD) is a deadly disease caused by Ebola virus. The mathematical model of Ebola virus transmission dynamics is formulated by considering both human and vector populations. This research aims to analyse dynamic systems of EVD transmission considering vaccination treatment. The equilibrium points and basic reproduction number (R0 ) are determined. There are two equilibrium points, namely, disease-free equilibrium and endemic equilibrium points. The results of model analysis show that the disease-free equilibrium is locally asymptotically stable if R0 < 1. The endemic equilibrium is found to be unique, positive and asymptotically stable if R0 > 1. Numerical simulation is performed for showing the population dynamic of both human and vector for time.