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Optimal Control of Mathematical modeling of the spread of the COVID-19 pandemic with highlighting the negative impact of quarantine on diabetics people with Cost-effectiveness

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  • Kouidere, Abdelfatah
  • Youssoufi, Lahcen EL
  • Ferjouchia, Hanane
  • Balatif, Omar
  • Rachik, Mostafa

Abstract

As of November 14, 2020, the number of people infected with the COVID-19 disease has reached more than 54 million people worldwide and more than 1323196 people have died, according to the World Health Organization. This requires many countries to impose a health emergency or quarantine, which has had positive results in reducing the spread of the COVID-19 pandemic, and it has also had negative economic, social and health effects. So, we suggest a mathematical model for the dynamics of how COVID-19 disease is spread, as well as a mathematical modeling for the dynamics of diabetes, then highlight the negative effect of quarantine has on the health of diabetics. 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

  • Kouidere, Abdelfatah & Youssoufi, Lahcen EL & Ferjouchia, Hanane & Balatif, Omar & Rachik, Mostafa, 2021. "Optimal Control of Mathematical modeling of the spread of the COVID-19 pandemic with highlighting the negative impact of quarantine on diabetics people with Cost-effectiveness," Chaos, Solitons & Fractals, Elsevier, vol. 145(C).
    • Handle: RePEc:eee:chsofr:v:145:y:2021:i:c:s0960077921001296
    DOI: 10.1016/j.chaos.2021.110777
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    References listed on IDEAS

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    1. Abdelfatah Kouidere & Omar Balatif & Hanane Ferjouchia & Abdesslam Boutayeb & Mostafa Rachik, 2019. "Optimal Control Strategy for a Discrete Time to the Dynamics of a Population of Diabetics with Highlighting the Impact of Living Environment," Discrete Dynamics in Nature and Society, Hindawi, vol. 2019, pages 1-8, December.
    2. Kada, Driss & Kouidere, Abdelfatah & Balatif, Omar & Rachik, Mostafa & Labriji, El Houssine, 2020. "Mathematical modeling of the spread of COVID-19 among different age groups in Morocco: Optimal control approach for intervention strategies," Chaos, Solitons & Fractals, Elsevier, vol. 141(C).
    3. Sajjadi, Samaneh Sadat & Baleanu, Dumitru & Jajarmi, Amin & Pirouz, Hassan Mohammadi, 2020. "A new adaptive synchronization and hyperchaos control of a biological snap oscillator," Chaos, Solitons & Fractals, Elsevier, vol. 138(C).
    4. Omar Balatif & Bouchaib Khajji & Mostafa Rachik, 2020. "Mathematical Modeling, Analysis, and Optimal Control of Abstinence Behavior of Registration on the Electoral Lists," Discrete Dynamics in Nature and Society, Hindawi, vol. 2020, pages 1-12, January.
    5. 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, Hindawi, vol. 2020, pages 1-12, June.
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    Cited by:

    1. Nasir, Hanis, 2022. "On the dynamics of a diabetic population model with two delays and a general recovery rate of complications," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 200(C), pages 571-602.
    2. Kouidere, Abdelfatah & Balatif, Omar & Rachik, Mostafa, 2021. "Analysis and optimal control of a mathematical modeling of the spread of African swine fever virus with a case study of South Korea and cost-effectiveness," Chaos, Solitons & Fractals, Elsevier, vol. 146(C).
    3. Anand, Monalisa & Danumjaya, P. & Rao, P. Raja Sekhara, 2023. "A nonlinear mathematical model on the Covid-19 transmission pattern among diabetic and non-diabetic population," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 210(C), pages 346-369.
    4. Alberto Olivares & Ernesto Staffetti, 2021. "Optimal Control Applied to Vaccination and Testing Policies for COVID-19," Mathematics, MDPI, vol. 9(23), pages 1-22, December.
    5. Li, Tingting & Guo, Youming, 2022. "Optimal control and cost-effectiveness analysis of a new COVID-19 model for Omicron strain," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 606(C).
    6. Khan, Hasib & Ahmad, Farooq & Tunç, Osman & Idrees, Muhammad, 2022. "On fractal-fractional Covid-19 mathematical model," Chaos, Solitons & Fractals, Elsevier, vol. 157(C).
    7. Castillo, Oscar & Melin, Patricia, 2021. "A new fuzzy fractal control approach of non-linear dynamic systems: The case of controlling the COVID-19 pandemics," Chaos, Solitons & Fractals, Elsevier, vol. 151(C).

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