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...

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Bibliographic Details
Main Author: Hincapié-Palacio, Doracelly (author)
Other Authors: Ospina, Juan (author), Torres, Delfim F.M. (author)
Format: article
Language:eng
Published: 2018
Subjects:
Approximated analytical expressions
Computer Algebra
Ebola
Euler–Lagrange equation
Optimal Control
Differential equations
Diseases
Equations of motion
Lagrange multipliers
Numerical methods
Analytical expressions
Lagrange equation
Algebra
Online Access:http://hdl.handle.net/10773/16626
Country:Portugal
Oai:oai:ria.ua.pt:10773/16626
Description
Summary: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. © 2016 Taylor & Francis Group, LLC.

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