The game
Also known as "Ro-Sham-Bo".
Brutal summary of our work
Space stabilizes the dynamics: without the spatial
structure only one species can survive long-term, but when
interactions are spatial (as in these movies), all three species co-exist.
In any rock-scissors-paper system, the slowest (sickest?!) species is
the least likely to go extinct. A species' share of the resources
(space) always increases if it gets slower.
demo
See Ed Abraham's demo here( if you're using e.g. Firefox and see a big red cross, it's because you don't have java installed).