THE EFFECTS OF PARAMETRIC EXCITATION AND OF DISPERSAL ON THE DYNAMICS OF DISCRETE-TIME POPULATION MODELS.
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PublisherThe University of Arizona.
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AbstractParametric excitation and dispersal are added to discrete-time population models. Discrete-time models for growth with dispersal share many of the attributes of reaction-diffusion equations. At the same time, these models readily exhibit period doubling and chaos. Large parametric excitation (seasonality) is inevitably destabilizing, but mild seasonality may have a pronounced stabilizing effect. Seasonality also allows for the coexistence of alternative stable states (equilibria, cycles, chaos). Many examples are presented.
Degree ProgramEcology and Evolutionary Biology