Weakly reversible mass-action systems with infinitely many positive steady states
Molecular Networks
2022-09-14 v2
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.
Keywords
Cite
@article{arxiv.1912.10302,
title = {Weakly reversible mass-action systems with infinitely many positive steady states},
author = {Balázs Boros and Gheorghe Craciun and Polly Y. Yu},
journal= {arXiv preprint arXiv:1912.10302},
year = {2022}
}