On global stability of the Lotka reactions with generalized mass-action kinetics
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.
- Publication:
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arXiv e-prints
- Pub Date:
- November 2016
- DOI:
- 10.48550/arXiv.1611.05748
- arXiv:
- arXiv:1611.05748
- Bibcode:
- 2016arXiv161105748B
- Keywords:
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- Mathematics - Dynamical Systems;
- Quantitative Biology - Molecular Networks
- E-Print:
- 28 pages, 9 figures