Chemical Reaction Network — Deficiency Zero Theorem
Feinberg 1972 · Detailed balance · Unique stable steady state
Network Selector
Species (n):—
Complexes (c):—
Linkage classes (l):—
Deficiency δ = c−l−n:—
Unique SS:—
Deficiency Zero Theorem (Feinberg):
For a weakly reversible CRN with δ=0, the mass-action ODE system has exactly one positive steady state per stoichiometric class, and it is asymptotically stable.
δ = c − l − n
c = complexes, l = linkage classes, n = species
Brusselator has δ=2 — can oscillate (Hopf bifurcation). Schlögl has bistability.