Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: 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.

21
The categories of this paper are: adap-org
35
The categories of this paper are: mtrl-th
6
The categories of this paper are: astro-ph
7
The categories of this paper are: hep-th
29
The categories of this paper are: funct-an
22
The categories of this paper are: chao-dyn
17
The categories of this paper are: q-fin
19
The categories of this paper are: eess
13
The categories of this paper are: quant-ph
24
The categories of this paper are: dg-ga
26
The categories of this paper are: bayes-an
15
The categories of this paper are: nucl-ex
0
The categories of this paper are: hep-ph
36
The categories of this paper are: cmp-lg
1
The categories of this paper are: cs
33
The categories of this paper are: plasm-ph