ANALYSIS, SIMULATION AND OPTIMAL CONTROL OF A SEIR MODEL FOR EBOLA VIRUS WITH DEMOGRAPHIC EFFECTS

Abstract

Ebola virus is one of the most virulent pathogens for humans. Wepresent a mathematical description of diğerent Susceptible–Exposed–Infectious–Recovered (SEIR) models. By using mathematical modeling and analysis, thelatest major outbreak of Ebola virus in West Africa is described. Our aim is tostudy and discuss the properties of SEIR models with respect to Ebola virus,the information they provide, and when the models make sense. We added tothe basic SEIR model demographic eğects in order to analyze the equilibriawith vital dynamics. Numerical simulations con…rm the theoretical analysis.The control of the propagation of the virus through vaccination is investigatedand the case study of Liberia is discussed in detail