Transport and Optimal Control of Vaccination Dynamics for COVID-19
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.
Keywords
Cite
@article{arxiv.2202.00541,
title = {Transport and Optimal Control of Vaccination Dynamics for COVID-19},
author = {Mohamed Abdelaziz Zaitri and Mohand Ouamer Bibi and Delfim F. M. Torres},
journal= {arXiv preprint arXiv:2202.00541},
year = {2022}
}
Comments
This is a preprint whose final form is published by Elsevier at [https://doi.org/10.1016/B978-0-32-390504-6.00007-3]