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arXiv · 1912.10302

Weakly reversible mass-action systems with infinitely many positive steady states

Balázs Boros·Gheorghe Craciun·Polly Y. Yu
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Abstract

We show that weakly reversible mass-action systems can have a continuum of positive steady states, coming from the zeroes of a multivariate polynomial. Moreover, the same is true of systems whose underlying reaction network is reversible and has a single connected component. In our construction, we relate operations on the reaction network to the multivariate polynomial occurring as a common factor in the system of differential equations.

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Balázs Boros, Gheorghe Craciun, Polly Y. Yu. 2020-09-10. Weakly reversible mass-action systems with infinitely many positive steady states. https://doi.org/10.1137/19m1303034

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