@Article{CSIAM-AM-3-564,
author = {Tang , XiaoxianLin , Kexin and Zhang , Zhishuo},
title = {Multistationarity of Reaction Networks with One-Dimensional Stoichiometric Subspaces},
journal = {CSIAM Transactions on Applied Mathematics},
year = {2022},
volume = {3},
number = {3},
pages = {564--600},
abstract = {<p style="text-align: justify;">We study the multistationarity for the reaction networks with one dimensional stoichiometric subspaces, and we focus on the networks admitting finitely many
positive steady states. We provide a necessary condition for a network to admit multistationarity in terms of the stoichiometric coefficients, which can be described by
“arrow diagrams”. This necessary condition is not sufficient unless there exist two reactions in the network such that the subnetwork consisting of the two reactions admits
at least one and finitely many positive steady states. We also prove that if a network
admits at least three positive steady states, then it contains at least three “bi-arrow
diagrams”. More than that, we completely characterize the bi-reaction networks that
admit at least three positive steady states.</p>},
issn = {2708-0579},
doi = {https://doi.org/10.4208/csiam-am.SO-2021-0044},
url = {http://global-sci.org/intro/article_detail/csiam-am/20972.html}
}