Lotka-Voltera Model for Predator-Prey Interactions

The Lotka-Voltera model is a mathematical model that describe the interaction between two animal species, such as foxes and rabbits, one of which preys upon the other. The Lotke-Volterra model consists of the two differential equations shown below. The variables X and Y correspond to the densities of the prey and predator populations, respectively.

dX/dt = rX - aXY

dY/dt = -mY + bXY

The model also contains the following parameters:

To graph solutions to the Lotke-Volterra model, enter values for the parameters and initial values for X and Y in the boxes below. Then click Graph solutions.

r:
a:
b:
m:
Initial value for X:
Initial value for Y:
Maximum time value for
solutions:

   Paul Trow's math software.

Copyright 2010 by Paul Trow