Lotka-Volterra Predator-Prey Model
The Lotka-Volterra model describes the dynamics of biological systems in which two species interact, one as a predator and the other as prey. This interactive simulation allows you to explore how different parameters affect the population dynamics over time.
Model Parameters
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Mathematical Model
The Lotka-Volterra equations are a pair of first-order nonlinear differential equations:
dx/dt = αx - βxy
dy/dt = γxy - δy
Where:
- x = prey population
- y = predator population
- α = prey growth rate
- β = predation rate
- γ = predator efficiency (conversion of prey to predators)
- δ = predator death rate
These equations create oscillatory dynamics where predator and prey populations cycle in a characteristic pattern.