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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Detalhes bibliográficos
Autor principal: Hincapié-Palacio, Doracelly (author)
Outros Autores: Ospina, Juan (author), Torres, Delfim F.M. (author)
Formato: article
Idioma:eng
Publicado em: 2018
Assuntos:
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
Texto completo:http://hdl.handle.net/10773/16626
País:Portugal
Oai:oai:ria.ua.pt:10773/16626
Descrição
Resumo: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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