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math.DS2017★ 41 cited
Existence of Positive Steady States for Weakly Reversible Mass-Action Systems
Balázs Boros
We prove the following. For each weakly reversible mass-action system, there exists a positive steady state in each positive stoichiometric class.
math.DS2017★ 11 cited
Planar S-systems: Global stability and the center problem
Balázs Boros, Josef Hofbauer, Stefan Müller +1
S-systems are simple examples of power-law dynamical systems (polynomial systems with real exponents). For planar S-systems, we study global stability of the unique positive equili…
math.DS2017★ 17 cited
The center problem for the Lotka reactions with generalized mass-action kinetics
Balázs Boros, Josef Hofbauer, Georg Regensburger +1
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…