Stochastic Lotka-Volterra

Gillespie exact SSA simulation — discrete birth/death events, extinction risk, noise-amplified oscillations
1.50
0.05
1.50
0.05
Prey: 0
Predators: 0
t = 0
Gillespie SSA: exact stochastic simulation — sample next event time τ ~ Exp(R_total), pick event proportional to rate. Reactions: prey birth (αX), predation (βXY), pred death (δY), pred birth (γXY). Noise can drive extinction even when ODE predicts sustained cycles.