How to use the lotka-volterra equilibrium calculator
Find the equilibrium prey and predator population sizes in the Lotka-Volterra predator-prey model. Enter prey growth rate, predation rate, predator death rate, predator conversion efficiency 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.
Common searches this calculator answers include “predator prey equilibrium”, “Lotka Volterra steady state”, “equilibrium populations”, “calculate lotka-volterra equilibrium”, “find equilibrium prey”.
Formula
Variables
- al — Prey growth rate (per year)
- be — Predation rate (per prey per predator)
- ga — Predator death rate (per year)
- de — Predator conversion efficiency (per prey)
Worked example
With prey growth rate = 0.5 per year, predation rate = 0.02 per prey per predator, predator death rate = 0.3 per year, predator conversion efficiency = 0.01 per prey, the calculator gives equilibrium prey ≈ 30 individuals; equilibrium predators ≈ 25 individuals.
Frequently asked questions
What is the lotka-volterra equilibrium calculator used for?
Find the equilibrium prey and predator population sizes in the Lotka-Volterra predator-prey model. It helps with questions such as “predator prey equilibrium”, “Lotka Volterra steady state”, “equilibrium populations”.
What is the formula for the lotka-volterra equilibrium calculation?
Equilibrium prey (individuals) = ga / de. Equilibrium predators (individuals) = al / be. Here al is prey growth rate (per year), be is predation rate (per prey per predator), ga is predator death rate (per year), de is predator conversion efficiency (per prey).
What inputs do I need for the lotka-volterra equilibrium calculator?
You need prey growth rate in per year, predation rate in per prey per predator, predator death rate in per year, predator conversion efficiency in per prey. 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 the lotka-volterra equilibrium 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 lotka-volterra equilibrium 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.