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Lotka-Volterra Predator-Prey Model

Ecology
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Simulates the population dynamics of a predator-prey system using the Lotka-Volterra equations. This model helps visualize how the populations of predators and prey change over time based on their interactions.

How To Use

How to use this calculator

Start with your values, or try a preset.

Step 1

Enter Initial Prey Population, Initial Predator Population, Prey Birth Rate (r), Predator Death Rate (d), Predator Efficiency (c), Prey Death Rate (a), and Number of Time Steps in the units shown.

Step 2

Read Predator Population at the End and Prey Population at the End in the results panel. Results update as you change the inputs.

Step 3

Choose a preset to load an example, then adjust the values for your situation.

Worked Examples

Example calculations

See the inputs and their calculated results.

Stable Population

Initial Prey Population: 100; Initial Predator Population: 20; Prey Birth Rate (r): 0.5; Predator Death Rate (d): 0.3; Predator Efficiency (c): 0.015; Prey Death Rate (a): 0.01; Number of Time Steps: 100

Predator Population at the End: 44 individuals; Prey Population at the End: 130 individuals

Predator Dominance

Initial Prey Population: 50; Initial Predator Population: 50; Prey Birth Rate (r): 0.4; Predator Death Rate (d): 0.4; Predator Efficiency (c): 0.03; Prey Death Rate (a): 0.02; Number of Time Steps: 100

Predator Population at the End: 105 individuals; Prey Population at the End: 20 individuals

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