Before revision:  For heterogeneous infection patterns,  the proposed strategy at least halves the number of deaths in our simulations compared to the standard practice of distributing vaccines proportionally to the population density.
After revision:  For heterogeneous infection patterns, locally well-mixed populations and basic reproduction numbers R_0\sim 1.5-4 the proposed strategy at least halves the number of deaths in our simulations compared to the standard practice of distributing vaccines proportionally to the population density.