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Lotka-Volterra Step Calculator

One Euler-step of the prey-predator equations.

Advance one Euler timestep of the Lotka-Volterra prey-predator equations: dx/dt = αx − βxy and dy/dt = δxy − γy. Reports the new prey and predator counts after Δt.

Priya Venkatesan By Priya Venkatesan
Published Last reviewed 1 min read

Inputs

Results

Enter values and click Calculate to see results.
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How to use this calculator

  1. Fill in the inputs above using the units you already have.
  2. Values update automatically as you type — no submit button needed.
  3. Hover any result row for the underlying formula and intermediate values.

Formula

x' = x + (αx − βxy) Δt; y' = y + (δxy − γy) Δt.

In depth

Advance one Euler timestep of the Lotka-Volterra prey-predator equations: dx/dt = αx − βxy and dy/dt = δxy − γy. Reports the new prey and predator counts after Δt.