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

Author

Listed:
  • Abdelfatah Kouidere
  • Abderrahim Labzai
  • Hanane Ferjouchia
  • Omar Balatif
  • Mostafa Rachik

Abstract

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.

Suggested Citation

  • Abdelfatah Kouidere & Abderrahim Labzai & Hanane Ferjouchia & Omar Balatif & Mostafa Rachik, 2020. "A New Mathematical Modeling with Optimal Control Strategy for the Dynamics of Population of Diabetics and Its Complications with Effect of Behavioral Factors," Journal of Applied Mathematics, John Wiley & Sons, vol. 2020(1).
    • Handle: RePEc:wly:jnljam:v:2020:y:2020:i:1:n:1943410
    DOI: 10.1155/2020/1943410
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    References listed on IDEAS

    as
    1. Bouchaib Khajji & Abderrahim Labzai & Abdelfatah Kouidere & Omar Balatif & Mostafa Rachik, 2020. "A Discrete Mathematical Modeling of the Influence of Alcohol Treatment Centers on the Drinking Dynamics Using Optimal Control," Journal of Applied Mathematics, Hindawi, vol. 2020, pages 1-13, February.
    2. Bouchaib Khajji & Abderrahim Labzai & Abdelfatah Kouidere & Omar Balatif & Mostafa Rachik, 2020. "A Discrete Mathematical Modeling of the Influence of Alcohol Treatment Centers on the Drinking Dynamics Using Optimal Control," Journal of Applied Mathematics, John Wiley & Sons, vol. 2020(1).
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