On global stability of the Lotka reactions with generalized mass-action kinetics
Dynamical Systems
2022-09-14 v1 Molecular Networks
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.
Keywords
Cite
@article{arxiv.1611.05748,
title = {On global stability of the Lotka reactions with generalized mass-action kinetics},
author = {Balázs Boros and Josef Hofbauer and Stefan Müller},
journal= {arXiv preprint arXiv:1611.05748},
year = {2022}
}
Comments
28 pages, 9 figures