La inexistencia del ciclo de límite en un optimo problema de control de una población de diabéticos
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| Autores: | , , , |
|---|---|
| Formato: | artículo original |
| Estado: | Versión publicada |
| Fecha de Publicación: | 2018 |
| Descripción: | This paper deals with one of the most important public health problem in the whole world that is diabetes, and more precisely its complications. From a model examining the complications or not of a population of diabetics, we associate a nonlinear optimal control problem. Considering the previous, we prove that the equilibrium state exists and is a saddle point. Moreover, we claim the unexistence of limit cycle in such a population, which is an interesting result concerning this world evil. Then we give some examples for which we characterize the equilibrium state which is not necessarily admissible. |
| País: | Portal de Revistas UCR |
| Institución: | Universidad de Costa Rica |
| Repositorio: | Portal de Revistas UCR |
| Lenguaje: | Inglés |
| OAI Identifier: | oai:portal.ucr.ac.cr:article/33692 |
| Acceso en línea: | https://revistas.ucr.ac.cr/index.php/matematica/article/view/33692 |
| Palabra clave: | two-dimensional optimal control model limit cycle equilibrium state Hopf bifurcation theorem modelo de control optimal bi-dimensional ciclo límite estado de equilibrio teorema de bifurcación de Hopf |