Below are two examples of spatial and temporal heterogeneity. In both examples the activator concentration appears on the left, and the inhibitor on the right. Both also involve a spatial heterogeneity going from stripes to spots via a smoothed step function, and then each has a different kind of spatial dynamic changing the patterns throughout the simulation.

Oscillating Spot/Stripe Switching in a Heterogeneous Field

Oscillating Pure/Cross System in a Spatially Heterogeneous Field