Do predator and prey populations settle to a balance, or oscillate forever?
▶ Launch the interactive simulationIntegrate the Lotka–Volterra equations (RK4) and watch the phase-space orbit; track the conserved quantity V and measure the cycle's period from successive prey peaks.
a closed orbit (V = δx − γ·ln x + βy − α·ln y conserved) with small-amplitude period T₀ = 2π/√(αγ)