La inexistencia del ciclo de límite en un optimo problema de control de una población de diabéticos
Kaydedildi:
Yazarlar: | , , , |
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Materyal Türü: | artículo original |
Durum: | Versión publicada |
Yayın Tarihi: | 2018 |
Diğer Bilgiler: | 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. |
Ülke: | Portal de Revistas UCR |
Kurum: | Universidad de Costa Rica |
Repositorio: | Portal de Revistas UCR |
Dil: | Inglés |
OAI Identifier: | oai:portal.ucr.ac.cr:article/33692 |
Online Erişim: | https://revistas.ucr.ac.cr/index.php/matematica/article/view/33692 |
Access Level: | acceso abierto |
Anahtar Kelime: | 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 |