The center problem for 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 and the resulting planar ODE. We characterize the parameters (positive coefficients and real exponents) for which the unique positive equilibrium is a center.

References in corpus (2)

• Generalized Mass-Action Systems and Positive Solutions of Polynomial Equations with Real and Symbolic Exponents
• The center problem for the Lotka reactions with generalized mass-action kinetics

Cited by in corpus (4)

• The center problem for the Lotka reactions with generalized mass-action kinetics
• Oscillations in planar deficiency-one mass-action systems
• Planar S-systems: Permanence
• Complex-balanced equilibria of generalized mass-action systems: Necessary conditions for linear stability