Determining all the steady solutions of the chemical-kinetics equations using the modified exclusion method. I. Algorithm

Chemical-kinetics equations corresponding to simple nonlinear reaction mechanisms may have several steady solutions, all of which it is necessary to find. The modified exclusion algorithm proposed in this paper allows the results to be obtained in graphic form. A detailed description of the scheme of the application of this method, allowing the unknowns to be excluded by using a specified formula, is given. This modified method of excluding unknowns becomes more effective when multiple solution of the initial system is necessary in view of the variation of the parameters which appear there.