Lotka-Volterra Calculator

Simulate predator-prey population cycles by entering Lotka-Volterra parameters and view the population dynamics chart over time.

Model Parameters

e.g. rabbits, deer

e.g. foxes, wolves

Prey Parameters

Prey reproduction rate without predators

Rate prey are consumed per predator-prey pair

Predator Parameters

Efficiency of converting prey to predator offspring

Natural predator mortality rate

Population Dynamics Over Time

Adjust parameters and click Simulate

Click Simulate to see the population chart

Phase Portrait (Prey vs Predator)

Phase portrait will appear after simulation

Summary

Simulate predator-prey population cycles by entering Lotka-Volterra parameters and view the population dynamics chart over time.

How it works

  1. Enter the initial prey population (e.g. rabbits) and predator population (e.g. foxes).
  2. Set the prey growth rate (how fast prey reproduces without predators).
  3. Set the predation rate (how often predators and prey encounter each other).
  4. Set the predator death rate (how fast predators die without prey).
  5. Set the predator growth rate from prey (how efficiently predators convert prey into offspring).
  6. Click Simulate to generate the population chart over the selected time span.

Use cases

  • Visualize classic predator-prey cycles (e.g. lynx and hare).
  • Explore how changes in predator death rate affect ecosystem balance.
  • Demonstrate equilibrium populations for ecology coursework.
  • Test extreme parameter values to observe population collapse scenarios.
  • Illustrate oscillatory dynamics for biology presentations.
  • Compare stable vs. unstable cycle behavior by tweaking parameters.

Frequently Asked Questions

Last updated: 2026-07-01 · Reviewed by Nham Vu