WIAS Preprint No. 137, (1994)

Jumping behavior in singularly perturbed systems modelling bimolecular reactions


  • Nefedov, Nikolai N.
  • Schneider, Klaus R.
  • Schuppert, Andreas

2010 Mathematics Subject Classification

  • 34D15 34E05 92E20


  • Singular perturbation, asymptotic methods, upper and lower solution, jump behavior of reaction rates




Singular singularly perturbed systems of ordinary differential equations modelling the dynamics of fast bimolecular reactions are considered. The asymptotic behavior of the solution of the initial value problem on a finite time interval is studied under conditions (change of stability) which are not treated in the usual standard theory. The application of the obtained results to the model under consideration yields conditions under which the reaction rate jumps. This behavior has to. be taken into account for identification problems in chemical process modelling.

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