Fig. 5.

(Upper) Average predator density $a^{\ast }$ after $\mathrm{2,000}$ Monte Carlo steps as a function of $\beta$ and for three values of the mortality rate in the first scenario (solid lines with symbols). $L=500$, and the other parameters are the same as those in Fig. 3. At low $\mu$ (open red circles), $a^{\ast }$ is nonzero only in a relatively narrow region centered around $\beta \approx 1.8$. Dashed lines show the corresponding analytical calculations (Eqs. 5 and 6). (Lower) Average prey density $b^{\ast }$ obtained with the same parameters. SI Text has more details.