MATHEMATICAL MODELING AND OPTIMAL CONTROL STRATEGY FOR THE OBESITY EPIDEMIC

被引：6
|
作者：
El Mansouri, Abdelbar [1 ]
Labzai, Abderrahim [2 ]
Belam, Mohamed [1 ]
Rachik, Mostafa [2 ]
机构：
[1] Sultan Moulay Slimane Univ, Khouribga Polydisciplinary Fac, Dept Math & Comp Sci, Lab LMACS,MATIC Res Team Appl Math & Informat & C, Beni Mellal, Morocco
[2] Hassan II Univ Casablanca, Fac Sci Ben MSik, Dept Math & Comp Sci, Lab Anal Modeling & Simulat, Casablanca, Morocco
来源：
COMMUNICATIONS IN MATHEMATICAL BIOLOGY AND NEUROSCIENCE | 2022年
关键词：
obesity epidemic; mathematical modeling; optimal control; DYNAMICS;
D O I：
10.28919/cmbn/6953
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
The aim of this work is to propose a discrete mathematical model to study the behavioral dynamics of a population affected by the disease of obesity. Thus, the population under study is divided into six compartments: susceptible (S), exposed (E), slightly obese (I1), moderately obese (I2), very obese (I3), and recovered (R). To fight this disease, we used four controls: Awareness through education and media, food and sports programs, medical treatment with drugs, and treatment with surgical intervention. The discrete time Pontryagin maximum principle is used to characterize the optimal controls. The numerical simulation via MATLAB confirms the performance of theoretical results.
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页数：15
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