Approximated analytical solution to an Ebola optimal control problem

An analytical expression for the optimal control of an Ebola problem is obtained. The analytical solution is found as a first-order approximation to the Pontryagin Maximum Principle via the Euler-Lagrange equation. An implementation of the method is given using the computer algebra system Maple. Our analytical solutions confirm the results recently reported in the literature using numerical methods.
Comment: This is a preprint of a paper whose final and definite form is in International Journal for Computational Methods in Engineering Science and Mechanics, ISSN 1550-2287 (Print), 1550-2295 (Online). Paper Submitted 14-Jul-2015; Revised 29-Oct-2015; Accepted for publication 09-Dec-2015