  In this paper, we have studied epidemiological models for Ebola infection
using nonlinear ordinary differential equations and optimal control theory. We
considered optimal control analysis of SIR and SEIR models for the deadly Ebola
infection using vaccination, treatment and educational campaign as
time-dependent controls functions. We have applied indirect methods to study
existing deterministic optimal control epidemic models for Ebola virus disease.
These methods in optimal control are based on Hamiltonian function and the
Pontryagin's maximum principle to construct adjoint equations and optimality
systems. The forward-backward sweep numerical scheme with fourth-order
Runge-Kutta method is used to solve the optimality system for the various
control strategies. From our numerical illustrations, we can conclude that,
effective educational campaigns and vaccination of susceptible individuals as
were as effective treatments of infected individuals can help reduce the
disease transmission.
