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On Global Stability of the Lotka Reactions with Generalized Mass-Action Kinetics.
- Source :
- Acta Applicandae Mathematicae; Oct2017, Vol. 151 Issue 1, p53-80, 28p
- Publication Year :
- 2017
-
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. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 01678019
- Volume :
- 151
- Issue :
- 1
- Database :
- Complementary Index
- Journal :
- Acta Applicandae Mathematicae
- Publication Type :
- Academic Journal
- Accession number :
- 124973213
- Full Text :
- https://doi.org/10.1007/s10440-017-0102-9