| The capacity for multiple equilibria in an isothermal homogeneous continuous flow stirred tank reactor is determined by the reaction network. Examples show that there is a very delicate relationship between reaction network structure and the possibility of multiple equilibria.; Previous results of Schlosser and Feinberg are sufficiently refined as to identify subtle differences between networks that can admit multiple equilibria and very similar ones that cannot, based on a graph associated to the reaction network, called the SCL graph. The SCL graph method cannot be easily implemented as a computer algorithm, and does not give an answer for some reaction networks.; We suggest two new methods of solving this problem. One method can be implemented as a simple computer algorithm, and is more general than the SCL graph method. The other method is based on a new type of graph associated to the reaction network, called the SR graph, and gives an answer for many reaction networks for which the SCL graph method does not. |
