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arXiv · 1611.05748

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

Balázs Boros·Josef Hofbauer·Stefan Müller
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Abstract

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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Balázs Boros, Josef Hofbauer, Stefan Müller. 2016-11-17. On global stability of the Lotka reactions with generalized mass-action kinetics. https://doi.org/10.1007/s10440-017-0102-9

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