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Mathematics & Science Learning Center
Computer Laboratory

 

Applications of Systems of Differential Equations

Predator-Prey Problems

(continued from last page...)

Your Show command should have resulted in the following:

Show[rabfoxplot1,rabfoxplot2,rabfoxplot3,
   rabfoxplot4,rabfoxplot5,rabfoxplot6,
   PlotRange->All]


Phase Plot

Notice the form of each of these orbits. The point (100, 200) is called an equilibrium point for the model. (The reason for this is quite obvious, right?) The plot itself is often called a phase-plane diagram.

Now that you have a picture of all of the solutions that you've found displayed simultaneously consider what the implications of the graph are with regard to the populations of the two species.

You have now completed this laboratory. There will be another laboratory similar to this one later. Make sure that you understand the details of what you have just done. At this point you can return to the beginning of the laboratory, go to the full Table of Contents for all of the Differential Equations Laboratories, or simply quit altogether.


Compass If you're lost, impatient, want an overview of this laboratory assignment, or maybe even all three, you can click on the compass button on the left to go to the table of contents for this laboratory assignment.
 
 

ODE Laboratories: A Sabbatical Project by Christopher A. Barker

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cbarker@deltacollege.edu