Figure 2. Optimal vaccine distribution.
A. The cumulative number of infections relative to no vaccination, R Null , for a range of vaccine initiations and distribution rates. Here β is low, 0.01. B. The cumulative number of infections relative to no vaccination, R Null , for a range of vaccine initiations and distribution rates and a large β (0.875). A/B. 3840 values were computed for each panel and 4× by 4× bilinearly interpolated points are displayed. Note that the color axis differs between A and B. C. The cumulative number of infections relative to no vaccination, R Null , for β = [0.75 (dotted), 0.875 (dashed), 1 (solid)] and three relative contact rates, q = [0.2 (brown), 1 (black), 5 (gray)]. D. Simulated epidemics comparing a high fixed rate of vaccination, k V = 0.03 (solid) representing the inoculation of 3% of naïve hosts per day, and the vaccination rate that minimizes the cumulative number of infections, MCI, each condition (dashed). β = 0.875 is fixed and q = [0.2 (brown), 1 (black), 5 (gray)]. E. Same as D. with a low fixed rate of vaccination, k V = 0.01. C/D/E. The minima for the dashed lines in C correspond to the dashed lines in D/E.