Spatial Predator-Prey

The Model

Each cell holds grass (green), prey (yellow), predator (red), or is empty. Local rules generate emergent Lotka-Volterra oscillations.

Grass → grows into empty cells
Prey → eats grass, reproduces
Predator → eats prey, reproduces
Prey/Pred → die of starvation

Grass—

Prey—

Predators—

Generation0

Grass growth rate: 0.05 Prey reproduce: 0.08 Predator reproduce: 0.04 Prey starvation: 0.03

■ Grass ■ Prey ■ Predator