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Volume 2,     Number 3,     Summer 1994

 

GLOBAL STABILITY OF
DEFICIENCY ZERO CHEMICAL NETWORKS
D. SIEGEL AND Y.F. CHEN

Abstract. For a deficiency zero chemical network that is "weakly repelling," we establish the global stability result that any positive solution tends to the unique positive equilibrium in its compatibility class. In addition, it is shown that this result is applicable to systems which have zero or one critical species and two types of enzyme systems.

 

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