Complex dynamics in a model microbial system |
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| Authors: | Mark Kot Gary S Sayler Terry W Schultz |
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| Institution: | (1) Department of Applied Mathematics, University of Washington, 98195 Seattle, WA, USA;(2) Department of Animal Science-Veterinary Medicine, University of Tennessee, 37996 Knoxville, TN, USA;(3) Department of Animal Science-Veterinary Medicine, University of Tennessee, 37996 Knoxville, TN, USA |
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| Abstract: | The forced double-Monod model (for a chemostat with a predator, a prey and periodically forced inflowing substrate) displays
quasiperiodicity, phase locking, period doubling and chaotic dynamics. Stroboscopic sections reveal circle maps for the quasiperiodic
regimes and noninvertible maps of the interval for the chaotic regimes. Criticality in the circle maps sets the stage for
chaos in the model. This criticality may arise with an increase in the period or amplitude of forcing. |
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