Uniqueness, multiplicity and stability of steady states

For heterogeneous catalytic reactions a fast subsystem must, as a rule, correspond to the conversions of surface substances. Let these substances be Z1 . . ., Z . A mechanism for surface conversions is of the form 

This mechanism is obtained after eliminating gas-phase substances from the global one. 

Here all concentrations of gaseous substances are suggested to be constant and are included as co-factors into the rate constants kp.  

For eqn. (151) at least one positive law of conservation exists corresponding to the constancy of the total amount (or concentration) of catalyst in the system. In the simplest case, this law is expressed as bs = ,2, = const, (where z, is the concentration of Zt). 

Further discussion will be devoted largely to the investigation of the properties for the kinetic models of surface conversions and primarily to the analysis of the number and stability of solutions for eqn. (151). 

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