Of Mites and Models: A Temperature-Dependent Model of a Mite Predator-Prey Interaction (UMAP)
Author: John B. Collings and David J. Wollkind
This module analyzes the qualitative behavior of a model for a mite predator-prey interaction. This model is based on a simple system of differential equations, and the model parameters are assigned values determined for a specific interaction between two species of mites. Several of these parameters are functions of temperature, and temperature is treated as a bifurcation parameter in the analysis of the model. It is shown that, depending on the temperature value, the model exhibits a stable fixed point, a stable limit cycle, or both (bistability). The model is used to illustrate population outbreaks.
Table of Contents:
INTRODUCTION
DEVELOPMENT OF THE MODEL
ANALYSIS OF THE MODEL, PART I
ANALYSIS OF THE MODEL, PART II
SOFTWARE NOTES
SOLUTIONS TO THE EXERCISES
REFERENCES
ABOUT THE AUTHORS
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