Global convergence in systems of differential equations arising from   chemical reaction networks
  It is shown that certain classes of differential equations arising from the modelling of chemical reaction networks have the following property: the state space is foliated by invariant subspaces each of which contains a unique equilibrium which, in turn, attracts all initial conditions on the associated subspace. 
Murad Banaji and Janusz Mierczynski
math.CA math.DS