The Center Problem for the Lotka Reactions with Generalized Mass-Action Kinetics

• Boros, Balázs ^[1] ; Hofbauer, Josef ^[1] ; Müller, Stefan ^[1] ; Regensburger, Georg ^[2]
  1. [1] University of Vienna

     University of Vienna

     Innere Stadt, Austria

     
  2. [2] Johannes Kepler University of Linz

     Johannes Kepler University of Linz

     Linz, Austria

     
• Localización: Qualitative theory of dynamical systems, ISSN 1575-5460, Vol. 17, Nº 2, 2018, págs. 403-410
• Idioma: inglés
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• Resumen

  • 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.