Predator-Prey Equations

A

1

B

1

C

1

D

1

initial populations

prey

predator

maximum time

The Lotka–Volterra equations describe an ecological predator-prey (or parasite-host) model which assumes that, for a set of fixed positive constants

A

(the growth rate of prey),

B

(the rate at which predators destroy prey),

C

(the death rate of predators), and

D

(the rate at which predators increase by consuming prey), certain simple conditions hold in the population change rates for prey and predator. (from Wolfram MathWorld)

External Links

Lotka-Volterra Equations (Wolfram MathWorld)

Permanent Citation

Eric W. Weisstein

"Predator-Prey Equations"
http://demonstrations.wolfram.com/PredatorPreyEquations/
Wolfram Demonstrations Project
Published: May 24, 2007