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Paper detail

Transport and Optimal Control of Vaccination Dynamics for COVID-19

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.

preprint2022arXivOpen access
Mohamed Abdelaziz ZaitriMohand Ouamer BibiDelfim F. M. Torres
math.OCPopulations and Evolution
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Mohamed Abdelaziz ZaitriMohand Ouamer BibiDelfim F. M. Torres

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