Abstract

LARA-AGUILAR, Brenda; OSUNA, Osvaldo  and  WENCES, Giovanni. Oscillations in enzymatic reactions with periodic input. Integración - UIS [online]. 2019, vol.37, n.2, pp.299-306.  Epub Oct 10, 2019. ISSN 0120-419X.  https://doi.org/10.18273/revint.v37n2-2019005.

In this work, we prove the existence of periodic solutions for some enzyme catalyzed reaction models subject to periodic substrate input. We also obtain uniqueness and asymptotic stability of the periodic solution of some classes of reaction equations. Numerical simulations are performed using specific substrate functions to illustrate our analytical findings.

MSC2010: 34C25, 92C45, 47H1.

Keywords : Cooperative systems; enzyme kinetics; periodic orbits.

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