Mathematics & Science Learning Center
Computer Laboratory
System Applications—Predator-Prey
CONTENT GUIDE for PREDATOR-PREY LABORATORY
Theoretical Introduction
Analyzing a
Preliminary Example
with
Mathematica
Using
NDSolve
to Solve the IVP
The Solution of the IVP & the
N[[1,#,2]]
Trick
Results of the
N[[1,#,2]]
Trick & Plotting Rabbits vs. Time
Results of Plotting Rabbits vs. Time & Plotting Foxes vs. Time
Results of Plotting Foxes vs. Time & Showing Both Plots Together
Results of Showing Both Plots Together
The Syntax of
ParametricPlot
The Syntax of
ParametricPlot
& Plotting Rabbits vs. Foxes
Results of Plotting Rabbits vs. Foxes
Another Example with Different IC's
Plotting Rabbits vs. Foxes with New IC's
Results of Plotting Rabbits vs. Foxes with New IC's
Exercises to be Completed by the Student
Solution Graph for Exercise 3
Solution Graph for Exercise 4
Solution Graph for Exercise 5
Solution Graph for Exercise 6
Creating the Phase-Plane Diagram
Showing the Graphs of All of the Exercises Together
Results of Showing the Graphs of All of the Exercises Together
Main Table of Contents for All ODE Laboratories
ODE Laboratories: A Sabbatical Project by Christopher A. Barker
©2017 San Joaquin Delta College, 5151 Pacific Ave., Stockton, CA 95207, USA
e-mail:
cbarker@deltacollege.edu