Abstract
We prove the Poincare-Bendixson theorem for monotone cyclic feedback systems; that is, systems inR n of the form
We apply our results to a variety of models of biological systems.
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Mallet-Paret, J., Smith, H.L. The Poincare-Bendixson theorem for monotone cyclic feedback systems. J Dyn Diff Equat 2, 367–421 (1990). https://doi.org/10.1007/BF01054041
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DOI: https://doi.org/10.1007/BF01054041