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.

28 pages, 9 figures

References in corpus (2)

• Generalized mass action systems: Complex balancing equilibria and sign vectors of the stoichiometric and kinetic-order subspaces
• Generalized Mass-Action Systems and Positive Solutions of Polynomial Equations with Real and Symbolic Exponents