info:eu-repo/semantics/article
Unexistence of limit cycle in an optimal control problem of a population of diabetics
Autor
Bernard,Séverine
César,Ténissia
Nuiro,Silvère P.
Piétrus,Alain
Institución
Resumen
Abstract [15] 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.