Inverse problem to elaborate and control the spread of COVID-19: A case study from Morocco

Marouane Karim; Abdelfatah Kouidere; Mostafa Rachik; Kamal Shah; Thabet Abdeljawad

doi:10.3934/math.20231194

Inverse problem to elaborate and control the spread of COVID-19: A case study from Morocco

Marouane Karim
, Abdelfatah Kouidere
, Mostafa Rachik
, Kamal Shah
, Thabet Abdeljawad^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

8 Citations (Scopus)

Abstract

In this paper, we focus on identifying the transmission rate associated with a COVID-19 mathematical model by using a predefined prevalence function. To do so, we use a Python code to extract the Lagrange interpolation polynomial from real daily data corresponding to an appropriate period in Morocco. The existence of a perfect control scheme is demonstrated. The Pontryagin maximum technique is used to explain these optimal controls. The optimality system is numerically solved using the 4th-order Runge-Kutta approximation.

Original language	English
Pages (from-to)	23500-23518
Number of pages	19
Journal	AIMS Mathematics
Volume	8
Issue number	10
DOIs	https://doi.org/10.3934/math.20231194
Publication status	Published - 2023
Externally published	Yes

UN SDGs

This output contributes to the following UN Sustainable Development Goals (SDGs)

SDG 3 Good Health and Well-being

Keywords

COVID-19
Lagrange interpolation
inverse problem
numerical method
optimal control

Access to Document

10.3934/math.20231194

Cite this

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abstract = "In this paper, we focus on identifying the transmission rate associated with a COVID-19 mathematical model by using a predefined prevalence function. To do so, we use a Python code to extract the Lagrange interpolation polynomial from real daily data corresponding to an appropriate period in Morocco. The existence of a perfect control scheme is demonstrated. The Pontryagin maximum technique is used to explain these optimal controls. The optimality system is numerically solved using the 4th-order Runge-Kutta approximation.",

keywords = "COVID-19, Lagrange interpolation, inverse problem, numerical method, optimal control",

author = "Marouane Karim and Abdelfatah Kouidere and Mostafa Rachik and Kamal Shah and Thabet Abdeljawad",

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T2 - A case study from Morocco

AU - Karim, Marouane

AU - Kouidere, Abdelfatah

AU - Rachik, Mostafa

AU - Shah, Kamal

AU - Abdeljawad, Thabet

PY - 2023

Y1 - 2023

N2 - In this paper, we focus on identifying the transmission rate associated with a COVID-19 mathematical model by using a predefined prevalence function. To do so, we use a Python code to extract the Lagrange interpolation polynomial from real daily data corresponding to an appropriate period in Morocco. The existence of a perfect control scheme is demonstrated. The Pontryagin maximum technique is used to explain these optimal controls. The optimality system is numerically solved using the 4th-order Runge-Kutta approximation.

AB - In this paper, we focus on identifying the transmission rate associated with a COVID-19 mathematical model by using a predefined prevalence function. To do so, we use a Python code to extract the Lagrange interpolation polynomial from real daily data corresponding to an appropriate period in Morocco. The existence of a perfect control scheme is demonstrated. The Pontryagin maximum technique is used to explain these optimal controls. The optimality system is numerically solved using the 4th-order Runge-Kutta approximation.

KW - COVID-19

KW - Lagrange interpolation

KW - inverse problem

KW - numerical method

KW - optimal control

UR - https://www.scopus.com/pages/publications/85165999096

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DO - 10.3934/math.20231194

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JO - AIMS Mathematics

JF - AIMS Mathematics

IS - 10

ER -

Inverse problem to elaborate and control the spread of COVID-19: A case study from Morocco

Abstract

UN SDGs

Keywords

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