Which reaction networks, when taken with mass-action kinetics, have the capacity for
multiple steady states? There is no complete answer to this question, but over the last 40 …

This paper introduces the class of strongly endotactic networks, a subclass of the endotactic
networks introduced by Craciun, Nazarov, and Pantea. The main result states that the global …

The goal of this paper is to gather and develop some necessary and sufficient criteria for
injectivity and multistationarity in vector fields associated with a chemical reaction network …

Multisite phosphorylation plays an important role in intracellular signaling. There has been
much recent work aimed at understanding the dynamics of such systems when the …

Some results are presented on how oscillation is inherited by chemical reaction networks
(CRNs) when they are built in natural ways from smaller oscillatory networks. The main …

A class of chemical reaction networks is described with the property that each positive
equilibrium is locally asymptotically stable relative to its stoichiometry class, an invariant …

A persistent dynamical system in R^d_>0 is one whose solutions have positive lower
bounds for large t, while a permanent dynamical system in R^d_>0 is one whose solutions …

This work studies relationships between monotonicity and contractivity, and applies the
results to establish that many reaction networks are weakly contractive, and thus, under …

We describe a procedure for testing for non-expansivity and monotonicity of reaction
networks. We demonstrate how this procedure can be used to generate explicit norms for …

Motivated by questions in mass-action kinetics, we introduce the notion of vertexical family of
differential inclusions. Defined on open hypercubes, these families are characterized by …