Graphical Analysis of Some Difference Equations in Biology (UMAP)

This module shows how the behavior of the solutions to certain equations can be predicted by graphical techniques. Students learn how to formulate models of population growth and use graphical and numerical techniques to analyze the behavior of populations.

Table of Contents:

1. INTRODUCTION

2. EXPONENTIAL GROWTH

3. GROWTH LIMITED POPULATIONS

4. EQUILIBRIUM

5. INTERACTING POPULATIONS

6. ANOTHER GRAPHICAL METHOD FOR A CLASS OF DIFFERENCE EQUATIONS

7. EXTENSIONS AND APPLICATIONS

8. REFERENCES

9. ANSWERS TO SELECTED EXERCISES