Mathematics & Science Learning Center
Computer Laboratory
System Applications—Epidemiology
CONTENT GUIDE for EPIDIMIOLOGY LABORATORY
Theoretical Introduction
Analyzing a
Preliminary Example
with
Mathematica
Making the System Computer Friendly & Using
NDSolve
on the IVP
The Solution of the IVP & the
N[[1,#,2]]
Trick
Plotting Susceptibles vs. Time & Infecteds vs. Time
Results of the Plots & Plotting a Combined Graph
Results of Combining Graphs & Graphing Infecteds vs. Susceptibles
Results of Graphing Infecteds vs. Susceptibles & Discussion of Trajectories
5 Exercises for the Student
The Exercises
The Solution Graphs
Exercise 2
Exercise 3
Exercise 4
Exercise 5
Exercise 6
Creating the Phase Plane Diagram & Final Discussion
Creating the Phase Plane Diagram
Results of the Diagram & Final Remarks
Discussion: Why the Peak at 300?
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