Please use this identifier to cite or link to this item:
http://hdl.handle.net/10773/34438
Title: | Transport and optimal control of vaccination dynamics for COVID-19 |
Author: | Zaitri, Mohamed Abdelaziz Bibi, Mohand Ouamer Torres, Delfim F. M. |
Keywords: | Mathematical modeling COVID-19 pandemic Vaccination Optimal control Heat diffusion equation |
Issue Date: | 2022 |
Publisher: | Academic Press, Elsevier |
Abstract: | We develop a mathematical model for transferring the vaccine BNT162b2 based on the heat diffusion equation. Then, we apply optimal control theory to the proposed generalized SEIR model. We introduce vaccination for the susceptible population to control the spread of the COVID-19 epidemic. For this, we use the Pontryagin minimum principle to find the necessary optimality conditions for the optimal control. The optimal control problem and the heat diffusion equation are solved numerically. Finally, several simulations are done to study and predict the spread of the COVID-19 epidemic in Italy. In particular, we compare the model in the presence and absence of vaccination. |
Peer review: | yes |
URI: | http://hdl.handle.net/10773/34438 |
DOI: | 10.1016/B978-0-32-390504-6.00007-3 |
ISBN: | 978-0-323-90504-6 |
Appears in Collections: | CIDMA - Capítulo de livro DMat - Capítulo de livro SCG - Capítulo de livro |
Files in This Item:
File | Description | Size | Format | |
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[501]Zaitri-Bibi-Torres.pdf | 542.58 kB | Adobe PDF |
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