Mathematical modeling and optimal control strategy for the obesity epidemic

Abdelbar El Mansouri, Abderrahim Labzai, Mohamed Belam, Mostafa Rachik

Abstract


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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Published: 2022-02-23

How to Cite this Article:

Abdelbar El Mansouri, Abderrahim Labzai, Mohamed Belam, Mostafa Rachik, Mathematical modeling and optimal control strategy for the obesity epidemic, Commun. Math. Biol. Neurosci., 2022 (2022), Article ID 20

Copyright © 2022 Abdelbar El Mansouri, Abderrahim Labzai, Mohamed Belam, Mostafa Rachik. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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