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Communications in Mathematical Biology and Neuroscience ISSN 2052-2541

Archives › Volume 2022 (2022)

Commun. Math. Biol. Neurosci. 2022 (2022), Article ID 20

Mathematical modeling and optimal control strategy for the obesity epidemic

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

PDF (470.7 KB) https://doi.org/10.28919/cmbn/6953

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.

Published
23 February 2022
Volume
2022 (2022)
License
CC BY 3.0

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.

Cite this article

A. El Mansouri, A. Labzai, M. Belam, M. Rachik, Mathematical modeling and optimal control strategy for the obesity epidemic, Commun. Math. Biol. Neurosci. 2022 (2022), 20. https://doi.org/10.28919/cmbn/6953

BibTeX
@article{Mansouri2022,
  author  = {El Mansouri, Abdelbar and Labzai, Abderrahim and Belam, Mohamed and Rachik, Mostafa},
  title   = {Mathematical modeling and optimal control strategy for the obesity epidemic},
  journal = {Commun. Math. Biol. Neurosci.},
  volume  = {2022},
  year    = {2022},
  pages   = {20},
  doi     = {10.28919/cmbn/6953}
}