Fig. 3.

Evolution of the spatially averaged densities $a(t)$ and $b(t)$ toward quasistationary states for a single run in the case of (A) highly superdiffusive ($\beta \simeq 1$) and (B) Brownian predators; the other parameters are $\mu =0.22$, $\sigma =0.5$, $L=500$, and $n=125$. A Monte Carlo time step corresponds to selecting all individuals once on average.