volume 219, issue 4, P1449-1467 2012
DOI: 10.1016/j.amc.2012.07.048
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Elisenda Feliu, Carsten Wiuf

Abstract: We provide a Jacobian criterion that applies to arbitrary chemical reaction networks taken with mass-action kinetics to preclude the existence of multiple positive steady states within any stoichiometric class for any choice of rate constants. We are concerned with the characterization of injective networks, that is, networks for which the species formation rate function is injective in the interior of the positive orthant within each stoichiometric class. We show that a network is injective if and only if th…

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