Fig. 2.

Lévy exponent maximizing predator abundance as a function of the reduced mortality rate for various reproduction rates $\lambda$ as given by Eq. 7. $R_0=30$, and the patch volume fraction is 0.04 ($l_0=5$). At very large (low) $\mu$, the optimal strategy is Brownian (with random relocations or $\beta =1$, respectively). Fast (slow) predator reproduction favors more (less) superdiffusive strategies.