Lotka-Volterra Predator-Prey Simulator
The Lotka-Volterra Model
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, one as a predator and the other as prey.
Prey Population (x): dx/dt = αx - βxy
x: number of preyα(alpha): natural growth rate of prey in the absence of predation.β(beta): predation rate coefficient (effect of predators on prey).
Predator Population (y): dy/dt = δxy - γy
y: number of predatorsδ(delta): reproduction rate of predators per prey eaten (efficiency of converting prey to predator offspring).γ(gamma): natural death rate of predators in the absence of food (prey).
This simulator uses the Euler method for numerical integration to approximate the populations over time.