Predator–Prey (Lotka-Volterra)

Simulate predator and prey populations over time with the Lotka-Volterra model and find the equilibrium, free online.

Prey population N₀

Predator population P₀

Prey growth rate α

Predation rate β

Predator efficiency δ

Predator death rate γ

Time to simulate

À propos de cette calculatrice

The model is dN/dt = αN − βNP (prey) and dP/dt = δNP − γP (predators). Populations cycle around the equilibrium N* = γ/δ, P* = α/β. This tool integrates the equations numerically (4th-order Runge-Kutta).