Optimal control strategy of COVID-19 spread in Morocco using SEIRD model

Ferjouchia, Hanane; Kouidere, Abdelfatah; Zakary, Omar; Rachik, Mostafa

doi:10.2478/mjpaa-2021-0007

Cited by 6 publications

(3 citation statements)

References 14 publications

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“…Defining the convenient objective function is one of the most momentous steps of optimization [3,40]. The most recent papers which provide mathematical models to control and predict the pandemic disease spreading about the COVID-19 disease are showed in the references [2,16,23,39]. Figure 11 presents a flow chart of the proposed model with controller.…”

Section: Optimal Control Strategy To Control Pandemic Covid-19mentioning

confidence: 99%

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Optimal control strategy to control pandemic Covid-19 using MSI_LI_HR_V Model

Chaharborj¹,

Asl²,

Mohammadi³

2022

Math. Model. Nat. Phenom.

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Many researchers began doing studies about pandemic COVID-19 which began to spread from Wuhan, China in 2019 to all around the world and so far, numerous researches have been done around the world to control this contagious disease. In this paper, we proposed mathematical model to study the spreading of pandemic COVID-19. This paper is aimed to study the vaccination effect in the control of the disease propagation rate. Another goal of this paper is to find the maximum number of susceptible people, minimum number of infected people, and the best value for number of vaccination people. The Jacobin matrix was obtained in the virus absenteeism equilibrium point for the proposed dynamical system. The spectral radius method was applied to find the analytical formula for the reproductive number. Reproductive number is one of the most benefit and important tools to study of epidemic model’s stability and unstability. In the following, by adding a controller to the model and also using the optimal control strategy, model performance was improved. To validate of the proposed models with controller and without controller we use the real data of Covid-19 from 4 Jan, 2021 up to 14 June, 2021 in Iran.

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Section: Optimal Control Strategy To Control Pandemic Covid-19mentioning

confidence: 99%

“…where u is an utility function or controller (u is positive coefficient) and P is protection covering (information variable) [2,3,16,17,23,28,33,39,40]. Information about both the current and past condition of pandemic COVID-19 can be defined by the following formula,…”

Section: Optimal Control Strategy To Control Pandemic Covid-19mentioning

confidence: 99%

Optimal control strategy to control pandemic Covid-19 using MSI_LI_HR_V Model

Chaharborj¹,

Asl²,

Mohammadi³

2022

Math. Model. Nat. Phenom.

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“…With the continuous deepening of research, scholars further introduced the death population to construct the SEIRD model. Ferjouchia H et al [17] used the SEIRD model to provide a theoretical framework for the prediction of the continued epidemic of COVID-19 in Morocco, and the structure and parameters of the proposed model provided insights and ideas for the development of virus dynamics. Kliestik T et al [18] used the SEIRD model to consider the measures taken by Azerbaijan to contain the epidemic and their effectiveness.…”

Section: Introduction Of the Seir Model For The Dead Population (Seird)mentioning

confidence: 99%

A Review of Mathematical Models of COVID-19 Transmission

Yang

Lin

et al. 2023

Contemp. Math.

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Corona Virus Disease 2019 (COVID-19) is a disease caused by the novel coronavirus, and due to its rapid spread, the World Health Organization has declared it a worldwide outbreak. Since the first case was detected in December 2019, the fight against this deadly disease has begun. Numerous studies have been done on the COVID-19 outbreak's model of dissemination and epidemic patterns. It mainly focuses on the selection of methods, the determination of parameters, and the evaluation of prevention and control measures. Taking the spread of the COVID-19 epidemic as the research object, combined with the current development of the COVID-19 epidemic, this paper sorts out the relevant mathematical models for the study of the spread of COVID-19, among which the models based on SIR and SEIR and the mathematical models combined with these two models are mainly selected. Finally, the importance of reasonable and effective control of parameters and multi-model combined modeling is pointed out in the future.

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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

Kouidere

Youssoufi

Ferjouchia

et al. 2021

Chaos, Solitons & Fractals

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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.

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Optimal control strategy of COVID-19 spread in Morocco using SEIRD model

Cited by 6 publications

References 14 publications

Optimal control strategy to control pandemic Covid-19 using MSI_LI_HR_V Model

Optimal control strategy to control pandemic Covid-19 using MSI_LI_HR_V Model

A Review of Mathematical Models of COVID-19 Transmission

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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Optimal control strategy of COVID-19 spread in Morocco using SEIRD model

Cited by 6 publications

References 14 publications

Optimal control strategy to control pandemic Covid-19 using MSILIHR_V Model

Optimal control strategy to control pandemic Covid-19 using MSILIHR_V Model

A Review of Mathematical Models of COVID-19 Transmission

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

Contact Info

Product

Resources

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Optimal control strategy to control pandemic Covid-19 using MSI_LI_HR_V Model

Optimal control strategy to control pandemic Covid-19 using MSI_LI_HR_V Model