How to use the lotka–volterra predator–prey equilibrium calculator
Find equilibrium populations in the Lotka–Volterra model. Enter prey growth rate α, predation rate β, predator death rate γ, predator gain rate δ in the fields above; the equilibrium prey, equilibrium predators are computed instantly and plotted on the chart so you can see how the answer changes.
Formula
Variables
- a — Prey growth rate α
- b — Predation rate β
- c — Predator death rate γ
- d — Predator gain rate δ
Worked example
With prey growth rate α = 1.1, predation rate β = 0.4, predator death rate γ = 0.4, predator gain rate δ = 0.1, the calculator gives equilibrium prey ≈ 4; equilibrium predators ≈ 2.75.
Frequently asked questions
What is the formula for the lotka–volterra predator–prey equilibrium calculation?
Equilibrium prey = c / d. Equilibrium predators = a / b. Here a is prey growth rate α, b is predation rate β, c is predator death rate γ, d is predator gain rate δ.
What inputs do I need for the lotka–volterra predator–prey equilibrium calculator?
You need prey growth rate α, predation rate β, predator death rate γ, predator gain rate δ. Each field is pre-filled with a typical example so you can see how the result responds as you edit the numbers.
How do I use this calculator?
Type values into the input fields. Results and the chart update instantly. Use Reset to restore the example values, Copy results to paste them elsewhere, or Share to copy a link that preserves your inputs.
Is the result exact?
Calculations use standard formulas and double-precision arithmetic, then display about seven significant figures. Real-world measurements carry uncertainty, so treat results as estimates unless your inputs are exact.