Predator-Prey (Lotka-Volterra) Calculator

Simulate populations of interacting predator and prey species over time using the differential Lotka-Volterra numerical model.

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Input Parameters

Enter details for calculation.

Simulation Parameters
Prey Range (Min - Max)
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Predators Range (Min - Max)
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Simulated Timeline (scroll)
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Expert Tip

Prey and predator populations oscillate in phase-shifted cycles. Peak prey populations are followed by peak predator populations, which subsequently crashes the prey population.

Calculation Methodology & Details

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Formula

Prey: dx/dt = αx - βxy Predator: dy/dt = δxy - γy Simulation executed numerically using Euler method.

Calculates population sizing step-by-step using delta intervals: x_(i+1) = x_i + dx/dt × dt.

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Important Disclaimer

The calculations provided are for educational and general planning guidelines only. They do not replace professional laboratory or environmental analysis or certified scientific advice.

How to run Lotka-Volterra

Steps to run the ecological simulator:

1

Set initial counts

Enter starting counts for prey (e.g. 50) and predators (e.g. 10).

2

Tune coefficients

Adjust rates (growth, capture, death, reproduction) to change oscillation behavior.

3

Inspect Timeline

Analyze the timeline table to observe peak values and phase shifts.

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