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Linearizing ecological models with time-varying parameters
Authors:Geoffrey T Evans
Institution:Woods Hole Oceanographic Institution, Woods Hole, Massachusetts 02543, USA
Abstract:An ecological model with time-varying parameters can be linearized about a point which is either a local equilibrium or fixed in time, but not in general both. Each choice has its advantages, but neither choice is anywhere near as useful as the linearization of a model with constant parameters. Linearizations of a model of annual plankton cycles can capture some qualitative behavior of the original nonlinear model.
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