  A major Ebola outbreak occurs in West Africa since March 2014, being the
deadliest epidemic in history. As an infectious disease epidemiology, Ebola is
the most lethal and is moving faster than in previous outbreaks. On 8 August
2014, the World Health Organization (WHO) declared the outbreak a public health
emergency of international concern. Last update on 7 July 2015 by WHO reports
27 609 cases of Ebola with a total of 11 261 deaths. In this work, we present a
mathematical description of the spread of Ebola virus based on the SEIR
(Susceptible-Exposed-Infective-Recovered) model and optimal strategies for
Ebola control. In order to control the propagation of the virus and to predict
the impact of vaccine programmes, we investigate several strategies of optimal
control of the spread of Ebola: control infection by vaccination of
susceptible; minimize exposed and infected; reduce Ebola infection by
vaccination and education.
