Multistability of Bi-Reaction Networks

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Abstract

We provide a sufficient and necessary condition in terms of the stoichiometric coefficients for a bi-reaction network to admit multistability. Also, this result completely characterizes the bi-reaction networks according to if they admit multistability.

Keywords:

Reaction networks mass-action kinetics multistationarity multistability

Author Biographies

  • Yixuan Liang

    School of Mathematical Sciences, Beihang University, Beijing 100191, P.R. China

  • Xiaoxian Tang

    Key Laboratory of Mathematics, Informatics and Behavioral Semantics, Ministry of Education, Beijing 100191, P.R. China

  • Qian Zhang

    State Key Laboratory of Software Development Environment, Beihang University, Beijing 100083, P.R. China

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DOI

10.4208/csiam-am.SO-2024-0035

How to Cite

Multistability of Bi-Reaction Networks. (2025). CSIAM Transactions on Applied Mathematics. https://doi.org/10.4208/csiam-am.SO-2024-0035