WIAS Preprint No. 457, (1998)

Model reduction by extended quasi-steady-state approximation


  • Schneider, Klaus R.
  • Wilhelm, Thomas

2010 Mathematics Subject Classification

  • 34E15 34E05 92E20


  • Quasi-steady-state approximation, singularly perturbed systems, trimolecular autocatalator




We extend the quasi-steady state approximation (QSSA) as well with respect to the class of differential systems as with respect to the order of approximation. As an application we prove that the trimolecular autocatalator can be approximated by a fast bimolecular reaction system. Finally we describe a class of singularly perturbed systems for which the first order QSSA can easily be obtained.

Appeared in

  • J. Math. Biol., 408(2000), pp. 443-450

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