Publicação
Approximated analytical solution to an Ebola optimal control problem
| 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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| Autores principais: | Hincapié-Palacio, Doracelly |
| Outros Autores: | Ospina, Juan; Torres, Delfim F.M. |
| Assunto: | 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 |
| Ano: | 2016 |
| País: | Portugal |
| Tipo de documento: | artigo |
| Tipo de acesso: | acesso aberto |
| Instituição associada: | Universidade de Aveiro |
| Idioma: | inglês |
| Origem: | RIA - Repositório Institucional da Universidade de Aveiro |
| 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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