Before revision:  We further show Chase-Escape percolation cannot fully be in the 2D isotropic percolationuniversality class as for p < p_c on a D-dimensional hypercubical lattice, the probability that the number of predators in the absorbing configuration is greater than s is bounded from below by \exp(-Kp^{-1 in contrast to the exponentially decaying cluster size distribution of isotropic percolation . We then study the problem starting from an initial condition with predator particles on all lattice points of the line y=0 and prey particles on the line y=1.
After revision:  We further show Chase-Escape percolation cannot fully be in the 2D isotropic percolationuniversality class as for p < p_c on a D-dimensional hypercubical lattice, the probability that the number of predators in the absorbing configuration is greater than s is bounded from below by \exp(-Kp^{-1 in contrast to the exponential distribution in the standard percolation theory. We also study the problem starting from an initial condition with predator particles on all lattice points of the line y=0 and prey particles on the line y=1.