| Abstract: |
| Diabetes is a chronic disease that affects an important part of the world population. The population of diabetics patients grows significantly in a lot of countries and it is, with its complications, an important cause of death.
Overwright and Obesity are real problems since various years. Nowdays they are considered as diseases and it is the reason why various authors treated them in this way. They can affect seriously body health and could entrainer diabetes, cardiovascular problem,...
In this talk, we develop different approaches. In the first one, from a model that examines diabetics with and without complications, we associate an optimal control problem. We show that there is no cyclical behavior between the group of diabetics with complications and the one without complications, and that the associated equilibrium point exists and is a saddle point. Then, in a second approach, we build a new model of diabetes disease in relation with obesity. On this model, we started to study the equilibrium points in order to establish their stability. |
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