Wave speed predicted by the parabolic and hyperbolic PDEs compared to simulations of CA on random networks.

<p>The parabolic (Fisher-Kolmogorov) PDE gives wave speed that indefinitely grows with network degree (red line and diamonds). In contrast, the suggested hyperbolic PDE (given in text) provides a reaso`nable wave speed (given in text, shown by green line and diamonds). The grows moderately and saturates to the maximum possible speed , in agreement with CA simulations (blue circles) and intuitive expectations. The solid lines show analytic formulae, the diamonds show simulations of corresponding full PDE systems.