Predator-Prey Dynamics for Rabbits, Trees and Romance
Julien Clinton Sprott
Department of Physics
University of Wisconsin - Madison
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.
, Unifying Themes in Complex Systems IV
, part II, 231-238 (2008)
The complete paper is available in
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