On global stability of the Lotka reactions with generalized mass-action kinetics

نویسندگان

  • Bal'azs Boros
  • Josef Hofbauer
  • Stefan Muller
چکیده

Chemical reaction networks with generalized mass-action kinetics lead to power-law dynamical systems. As a simple example, we consider the Lotka reactions with two chemical species and arbitrary power-law kinetics. We study existence, uniqueness, and stability of the positive equilibrium, in particular, we characterize its global asymptotic stability in terms of the kinetic orders.

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تاریخ انتشار 2016