Predator-Prey Dynamics for Rabbits, Trees, & Romance

Lotka-Volterra Equations

Types of Interactions

Equilibrium Solutions

Coexistence

Alternate Spatial Lotka-Volterra Equations

Features of the Model

Typical Results

Dominant Species

Fluctuations in Cluster Probability

Power Spectrum
of Cluster Probability

Sensitivity to Initial Conditions

Results

Romance
(Romeo and Juliet)

Romantic Styles

Pairings - Stable Mutual Love

Love Triangles

Summary

References