Stochastic Predator-Prey

Individual-based Lotka-Volterra on a spatial grid. Prey (green) reproduce; predators (red) hunt and die. Watch spatial spirals and stochastic waves emerge — behaviors absent from deterministic ODEs.

Spatial grid (empty=black, prey=green, predator=red)

Phase portrait (prey vs predator)

Prey birth rate: 0.30 Predation rate: 0.20 Predator death: 0.10

Prey:—

Predators:—

Time:0