Ecology

Lotka-Volterra Calculator

Find the equilibrium of a predator-prey system.

Calculated Output

Equilibrium prey 200

Equilibrium predator 120

Formula: N* = b/c, P* = r/a

Step-by-Step Breakdown

1. Values used:

2. Prey growth rate (r) = 1.2

3. Predation rate (a) = 0.01

4. Predator death rate (b) = 0.8

5. Predator growth rate (c) = 0.004

7. Equilibrium prey = 200

8. Equilibrium predator = Prey growth rate (r) / Predation rate (a) = 1.2 / 0.01 = 120

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The math behind it

Equilibrium prey N* = b/c; equilibrium predator P* = r/a. Populations oscillate around these values.

r 1.2, a 0.01, b 0.8, c 0.004 → predator 120, prey 200 (steady-state).

Is it realistic?

It captures the core cycle but real ecosystems are far more complex.