Table 1.
Differences and errors associated with the best and worst strategiesa to control disease in a metapopulation when resources are limited. (Alternative objective functions are shown for the SIS model without quarantine.)
| zone | path | I1(0) | I2(0) | I1(∞) | I2(∞) |
 (% error)b
|
 (% error)b
|
 (% error)b
|
|---|---|---|---|---|---|---|---|---|
| SIS model without quarantine | ||||||||
| A | worst | 0.090 | 0.165 | 0 | 0 | 2.27 (5.09) | 4.66 (4.59) | 0.78 (3.77) |
| best | 0.090 | 0.165 | 0 | 0 | 2.16 | 4.45 | 0.75 | |
| B | worst | 0.085 | 0.180 | 0.69 | 0.69 | 3.38 (30.05) | 5.99 (19.07) | 1.51 (52.04) |
| best | 0.085 | 0.180 | 0 | 0 | 2.59 | 5.03 | 0.99 | |
| C | worst | 0.100 | 0.250 | 0.69 | 0.69 | 6.14 (18.76) | 8.89 (14.05) | 3.68 (19.81) |
| best | 0.100 | 0.250 | 0.19 | 0.80 | 5.17 | 7.73 | 3.07 | |
| SIS model with quarantine | ||||||||
| C | best | 0.100 | 0.250 | 0 | 0 | 3.83 | ||
1Parameter values as in figure 1.
2Computed by (Vworst−Vbest)/Vbest in which Vworst and Vbest are the values of the discounted infection along the worst and best paths, respectively (see appendix A for details).