Figure 3.
Total attack ratio versus treatment level and number of susceptibles at treatment start time (normalized by S(t0)). The white solid curves show the number of susceptibles at the optimal treatment start time provided a resistant epidemic occurs. The white dashed horizontal lines indicate the number of susceptibles at the optimal treatment start time when the maximum possible treatment level is very large (i.e. when umax is unbounded for the simple model and when fT = 1 for the detailed model). The white dashed horizontal lines in (a) and (b) were computed analytically; all other curves were computed numerically. It is important to emphasize that this figure was generated by assuming that an outbreak occurs. Indeed, for this specific choice of parameters, electronic supplementary material, figure 3, illustrates that for umax > 0.25 and fT > 0.8 treating immediately will prevent an outbreak and so treating immediately is optimal. (a) Figure produced using simple model. (b) Magnified version of (a). (c) Figure produced using detailed model. Parameters are RR = 0.9RI, μ1 = μ2 = μ3 = 1/3.3, κ = 0.0066, fr = 0.002.