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

2 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

Keywords

COVID-19
Lagrange interpolation
inverse problem
numerical method
optimal control

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10.3934/math.20231194

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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.",

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AU - Shah, Kamal

AU - Abdeljawad, Thabet

PY - 2023

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KW - inverse problem

KW - numerical method

KW - optimal control

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

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Keywords

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