Abstract
Mathematical analysis of dynamical systems can often benefit from accompanying numerical computations. This is particularly true if one has software (e.g. AUTO [6, 7]) capable of providing an automatic bifurcation analysis of such systems. Computer programs of this type now exist. We describe the application of such software to a predator-prey model. Phenomena that arise in this analysis include stationary bifurcations, limit points, Hopf bifurcations and secondary periodic bifurcations. A two-parameter numerical analysis leads quite naturally to the detection of higher order singularities.
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