A New Mathematical Modeling with Optimal Control Strategy for the Dynamics of Population of Diabetics and Its Complications with Effect of Behavioral Factors

被引：17
作者：
Kouidere, Abdelfatah [1 ]
Labzai, Abderrahim [1 ]
Ferjouchia, Hanane [1 ]
Balatif, Omar [2 ]
Rachik, Mostafa [1 ]
机构：
[1] Hassan II Univ, Fac Sci Ben MSik, Dept Math & Comp Sci, Lab Anal Modeling & Simulat, Casablanca, Morocco
[2] Chouaib Doukkali Univ, Fac Sci El Jadida, Dept Math, Lab Dynam Syst,Math Engn Team INMA, El Jadida, Morocco
来源：
JOURNAL OF APPLIED MATHEMATICS | 2020年 / 2020卷
关键词：
MATLAB - Optimal control systems;
D O I：
10.1155/2020/1943410
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We propose an optimal control strategy by conducting awareness campaigns for diabetics about the severity of complications of diabetes and the negative impact of an unbalanced lifestyle and the surrounding environment, as well as treatment and psychological follow-up. Pontryagin's maximum principle is used to characterize the optimal controls, and the optimality system is solved by an iterative method. Finally, some numerical simulations are performed to verify the theoretical analysis using MATLAB.
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收藏
页数：12
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