Parameters
Prey N: —
Predator P: —
Time: 0
Extinct: —
Classic predator-prey ODEs dN/dt = αN − βNP, dP/dt = δNP − γP, now driven by multiplicative noise σN·dW and σP·dW. Demographic stochasticity can cause extinction that the deterministic system never predicts — noise breaks the conserved quantity.