The effect of thick-tailed dispersal.

<p>(a) Response of the epidemic impact κ_<i>E</i> to the cull radius <i>L</i> with Cauchy dispersal and low infection rate (<i>β</i> = 0.007d^-1). (b) Response of median κ_<i>E</i> to <i>L</i> for a number of values of <i>β</i>. Note how quickly the performance of control degrades with only relatively small increases to <i>β</i>. (c) Full response of κ_<i>E</i> to <i>L</i> when <i>β</i> = 0.01d^-1. Note the extreme variability at even the optimal radius (e.g. <i>L</i> = 300m, inset C), and the significant probability of a large epidemic at this cull radius, even though the median κ_<i>E</i> is optimised. (d) Risk of failure for <i>β</i> = 0.01d^-1: it is impossible to select a range of radii for which p(Risk < Ω) < 0.1 for Ω = 20% (<i>cf</i>. <a href="http://www.ploscompbiol.org/article/info:doi/10.1371/journal.pcbi.1004211#pcbi.1004211.g002" target="_blank">Fig 2b</a>).