Predator-Prey Dynamics for Rabbits, Trees, & Romance

4/29/02


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Table of Contents

Predator-Prey Dynamics for Rabbits, Trees, & Romance

PPT Slide

Rabbit Dynamics

Exponential Growth

Logistic Differential Equation

Effect of Predators

Lotka-Volterra Equations

Types of Interactions

Equilibrium Solutions

Stable Focus (Predator-Prey)

Stable Saddle-Node (Competition)

Coexistence

Reaction-Diffusion Model

Typical Results

Alternate Spatial Lotka-Volterra Equations

Parameters of the Model

Features of the Model

Typical Results

Typical Results

Typical Results

Dominant Species

Fluctuations in Cluster Probability

Power Spectrum of Cluster Probability

Fluctuations in Total Biomass

Power Spectrum of Total Biomass

Sensitivity to Initial Conditions

Results

Romance (Romeo and Juliet)

Romantic Styles

Pairings - Stable Mutual Love

Love Triangles

Summary

References

Author: Clint Sprott

Email: sprott@juno.physics.wisc.edu

Home Page: http://sprott.physics.wisc.edu/