Inverse problem to elaborate and control the spread of COVID-19: A case study from Morocco-Reference-Cited by-同舟云学术

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

Published:2023 Issue:10 Volume:8 Page:23500-23518
ISSN:2473-6988
Container-title:AIMS Mathematics
language:
Short-container-title:MATH

Author:

Karim Marouane¹,Kouidere Abdelfatah¹,Rachik Mostafa¹,Shah Kamal²³,Abdeljawad Thabet²⁴⁵⁶

Affiliation:

1. LAMS, Department of Mathematics and Computer Science, Faculty of Sciences Ben M'Sik, Hassan II University of Casablanca, Morocco

2. Department of Mathematics and Sciences, Prince Sultan University, Riyadh 11586, Saudi Arabia

3. Department of Mathematics, University of Malakand, Chakdara Dir (L), Khyber Pakhtunkhwa 18000, Pakistan

4. Department of Medical Research, China Medical University, Taichung 40402, Taiwan

5. Department of Mathematics, Kyung Hee University, 26 Kyungheedae-ro, Dongdaemun-gu, Seoul 02447, Republic of Korea

6. Department of Mathematics and Applied Mathematics, School of Science and Technology, Sefako Makgatho Health Sciences University, Ga-Rankuwa, South Africa

Abstract

<abstract><p>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.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

General Mathematics

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