1: Input: Information concerning the current states of COVID-19 and the adopted vaccine allocation strategy.

2: Initialize: Initialize initial conditions for all compartments, i.e. the number of individuals in each sub-population at $t=0$, and set counter variable iter to 0.

3: Fit: Determine the values of SIQRV parameters by lsqcurvefit.

4: Generate: Given the resulting SIQRV parameters and the initial conditions, generate compartmental vectors ${\widehat{I}}_{\mathit{iter}}$ and ${\widehat{S}}_{\mathit{iter}}$, denoting the numbers of infectious and susceptible individuals in all sub-populations over the planning horizon T (with no vaccination) by Forward Euler Transformation.

5: Create: Create an initial vaccine allocation vector according to the adopted vaccine allocation strategy.

6: Generate: Call IntGen to generate an initial CVAP solution, denoted by ${\widehat{V}}_{\mathit{iter}}$, including both individuals in compartments V and $\bar{V}$.

7: while stopping criteria have not been met do

8:  Index: Re-index counter variable iter to $\mathit{iter}\leftarrow \mathit{iter}+1$

9:  Update: Update vector ${\widehat{I}}_{\mathit{iter}}$, as well as other related compartmental vectors, based on ${\widehat{V}}_{\mathit{iter}-1}$ by Forward Euler Transformation.

10:  Determine: Determine vector ${\widehat{V}}_{\mathit{iter}}$ based on updated compartmental vectors.

11: end while

12: Return: The optimal administration of COVID-19 vaccines according to the given vaccine allocation strategy.