Approximated Analytical Solution to an Ebola Optimal Control Problem
- Resource Type
- Working Paper
- Authors
- Hincapie-Palacio, Doracelly; Ospina, Juan; Torres, Delfim F. M.
- Source
- Int. J. Comput. Methods Eng. Sci. Mech. 17 (2016), no. 5-6, 382--390
- Subject
- Mathematics - Optimization and Control
Quantitative Biology - Populations and Evolution
49-04, 49K15, 92D30
- Language
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