Predator-Prey Dynamics for Rabbits, Trees and Romance

The Lotka-Volterra equations represent a simple nonlinear model for the dynamic interaction between two biological species in which one species (the predator) benefits at the expense of the other (the prey). With a change in signs, the same model can apply to two species that compete for resources or that symbiotically interact. However, the model is not structurally stable, since persistent time-dependent (oscillatory) Solutions occur for only a single value of the parameters.

Ref: J. C. Sprott, Unifying Themes in Complex Systems IV, part II, 231-238 (2008)