Existence of Positive Steady States for Weakly Reversible Mass-Action Systems Page 1
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A reaction system exhibits “absolute concentration robustness”(ACR) in some species if the
positive steady-state value of that species does not depend on initial conditions …

Reaction networks are a general framework widely used in modelling diverse phenomena in
different science disciplines. The dynamical process of a reaction network endowed with …

In the study of reaction networks and the polynomial dynamical systems that they generate,
special classes of networks with important properties have been identified. These include …

The Hilbert number $ H (n) $ is defined as the maximum number of limit cycles of a planar
autonomous system of ordinary differential equations (ODEs) with right-hand sides …

A reaction network together with a choice of rate constants uniquely gives rise to a system of
differential equations, according to the law of mass-action kinetics. On the other hand …

A dynamical system obtains a wide variety of kinetic realizations, which is advantageous for
the analysis of biochemical systems. A reaction network, derived from a dynamical system …

The dynamics exhibited by reaction networks is often a manifestation of their steady states.
We show that there exists endotactic and strongly endotactic dynamical systems that are not …

Despite their noted potential in polynomial-system solving, there are few concrete examples
of Newton-Okounkov bodies arising from applications. Accordingly, in this paper, we …

We are concerned with polynomial ordinary differential systems that arise from modelling
chemical reaction networks. For such systems, which may be of high dimension and may …