Optimal control of a fractional order model for the COVID – 19 pandemic

Baba, Bashir Abdullahi; Bilgehan, Bülent

doi:10.1016/j.chaos.2021.110678

Cited by 33 publications

(25 citation statements)

References 46 publications

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“…The system (7) – (8) can be written in following classical form In above system, the vector

denotes the state variables,

is the control function and

We prove the existence of an optimal four control under consideration by proving the following condition [19] :…”

Section: Optimal Control Analysismentioning

confidence: 99%

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Application of fractional optimal control theory for the mitigating of novel coronavirus in Algeria

et al. 2022

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“…The system (7) – (8) can be written in following classical form In above system, the vector

denotes the state variables,

is the control function and

We prove the existence of an optimal four control under consideration by proving the following condition [19] :…”

Section: Optimal Control Analysismentioning

confidence: 99%

“…Moreover, in the recent literature, the classical optimal control is generalized into fractional order optimal control which the differential equations are as fractional differential equations. The implementation of fractional optimal control analysis for the mitigation of pandemic can be found in [19] .…”

Section: Introductionmentioning

confidence: 99%

Application of fractional optimal control theory for the mitigating of novel coronavirus in Algeria

et al. 2022

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“…The aim of optimization is to obtain the efficient and best values for the parameters. 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].…”

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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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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“…El uso de las derivadas de orden fraccionario en los problema de control óptimo en las epidemias ha aumentado en las últimas décadas, debido a las ventajas de este tipo de modelado. Por ejemplo, Bashir y Bilgehana [3] basándose en un modelo matemático con derivada de orden fraccionario en el sentido de Caputo para el COVID-19, formularon y resolvieron un problema de control óptimo fraccionario. Sweilam et al [46] presentaron un nuevo modelo matemático de Coronavirus (2019-nCov) de orden fraccionario con parámetros modificados y problemas de control óptimo para este modelo.…”

Section: Introductionunclassified

Control óptimo de orden fraccionario para un modelo de eficacia del tratamiento de la tuberculosis con presencia de VIH/Sida y diabetes

Delgado-Moya

Pietrus²

2022

RMTA

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En este trabajo, aprovechando las ventajas del uso de las derivadas de orden fraccionario en el sentido de Caputo, presentamos un estudio de control óptimo de la eficacia del tratamiento de la tuberculosis (TB) en presencia del VIH/SIDA y la diabetes. El modelo matemático que es controlado se encuentra en [17] y estudia la relación entre la tuberculosis, el VIH/SIDA y la diabetes con respecto a la eficacia del tratamiento y diferencia en tuberculosis multirresistente (TB-MDR), y tuberculosis extremadamente resistente (TB-XDR). La definición de los controles se centra en evitar la reinfección/reactivación, la TB-MDR y la TB-XDR en las diferentes subpoblaciones (TB únicamente, TB-VIH/SIDA y TB-Diabetes). El modelo dividido en subpoblaciones nos permite diferenciar los comportamientos de la transmisión y la resistencia y evaluar los diferentes costos en la aplicación de los controles. Realizamos simulaciones computacionales con datos de la literatura para estudiar nuestro problema de control en un escenario específico. Exploramos el comportamiento del número básico de reproducción variando la tasa de contacto efectivo y los parámetros asociados a la resistencia para diferentes valores de _ (orden fraccional). Estudiamos diferentes estrategias de control basadas en la activación de los controles y encontramos que la más efectiva es cuando activamos todos los controles. Con esta estrategia, reducimos el número de casos resistentes, principalmente en la TB-XDR en diabéticos que tiene un fuerte impacto en la dinámica de resistencia y transmisión de la tuberculosis. Además, esta estrategia evita el crecimiento futuro del número de casos resistentes.

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Optimal control of a fractional order model for the COVID – 19 pandemic

Cited by 33 publications

References 46 publications

Application of fractional optimal control theory for the mitigating of novel coronavirus in Algeria

Application of fractional optimal control theory for the mitigating of novel coronavirus in Algeria

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

Control óptimo de orden fraccionario para un modelo de eficacia del tratamiento de la tuberculosis con presencia de VIH/Sida y diabetes

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Optimal control of a fractional order model for the COVID – 19 pandemic

Cited by 33 publications

References 46 publications

Application of fractional optimal control theory for the mitigating of novel coronavirus in Algeria

Application of fractional optimal control theory for the mitigating of novel coronavirus in Algeria

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

Control óptimo de orden fraccionario para un modelo de eficacia del tratamiento de la tuberculosis con presencia de VIH/Sida y diabetes

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