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Lotka-Volterra Calculator

Model the population dynamics of predator and prey species.

Live Calculation

Prey Change Rate

40.00

inds/dt

Live Step-by-Step Calculation

# Given Values:
Prey Population: 100
Predator Population: 10
Interaction Rate: 0.01
# Formula:
Prey Change Rate = 0.5 * prey - rate * prey * pred
# Substitution:
Prey Change Rate = 0.5 * 100 - 0.01 * 100 * 10
Final Answer: 40 inds/dt

How it works

dxdt=αx−βxy\frac{dx}{dt} = \alpha x - \beta xy

Biological Formula Standard

The Lotka-Volterra equations, also known as the predator-prey equations, are a pair of first-order nonlinear differential equations, frequently used to describe the dynamics of biological systems in which two species interact.

How it Works

dxdt=αx−βxy\frac{dx}{dt} = \alpha x - \beta xy

The Lotka-Volterra equations, also known as the predator-prey equations, are a pair of first-order nonlinear differential equations, frequently used to describe the dynamics of biological systems in which two species interact.

AI Insight

Did you know? Consistent tracking of these metrics can help identify trends over time. Try adjusting the inputs to see how sensitive the result is to each variable.

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