TY - JOUR
T1 - Bistability of sequestration networks
AU - Tang, Xiaoxian
AU - Wang, Jie
N1 - Publisher Copyright:
© 2021 American Institute of Mathematical Sciences. All rights reserved.
PY - 2021/3
Y1 - 2021/3
N2 - We solve a conjecture on multiple nondegenerate steady states, and prove bistability for sequestration networks. More speciffcally, we prove that for any odd number of species, and for any production factor, the fully open extension of a sequestration network admits three nondegenerate positive steady states, two of which are locally asymptotically stable. In addition, we provide a non-empty open set in the parameter space where a sequestration network admits bistability, and we present a procedure for computing a witness for bistability.
AB - We solve a conjecture on multiple nondegenerate steady states, and prove bistability for sequestration networks. More speciffcally, we prove that for any odd number of species, and for any production factor, the fully open extension of a sequestration network admits three nondegenerate positive steady states, two of which are locally asymptotically stable. In addition, we provide a non-empty open set in the parameter space where a sequestration network admits bistability, and we present a procedure for computing a witness for bistability.
KW - Bistability
KW - Chemical reaction networks
KW - Mass-action kinetics
KW - Multistationarity
KW - Sequestration networks
UR - https://www.scopus.com/pages/publications/85101352965
U2 - 10.3934/dcdsb.2020165
DO - 10.3934/dcdsb.2020165
M3 - 文章
AN - SCOPUS:85101352965
SN - 1531-3492
VL - 26
SP - 1337
EP - 1357
JO - Discrete and Continuous Dynamical Systems - Series B
JF - Discrete and Continuous Dynamical Systems - Series B
IS - 3
ER -