Fig. 1

$R_0$ versus Δ. Plot of $R_0$ versus Δ (the dynamic range—see Appendix A) for both the analytic result (black line) and simulations (red dots). For the comparable simulated result we average $10\text{,}000$ realisations that have run until time $t=200$. To obtain a reasonable spread of h we used the conjugation of the intervals $[0:0.002:0.2]$ and $[0.4:0.2:18]$