
arXiv: 1906.00162
We solve a conjecture on multiple nondegenerate steady states, and prove bistability for sequestration networks. More specifically, 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.
20 pages
bistability, Biochemistry, molecular biology, Systems biology, networks, multistationarity, chemical reaction networks, Dynamical Systems (math.DS), mass-action kinetics, 92C40, 92C45, sequestration networks, FOS: Mathematics, Mathematics - Dynamical Systems, Kinetics in biochemical problems (pharmacokinetics, enzyme kinetics, etc.)
bistability, Biochemistry, molecular biology, Systems biology, networks, multistationarity, chemical reaction networks, Dynamical Systems (math.DS), mass-action kinetics, 92C40, 92C45, sequestration networks, FOS: Mathematics, Mathematics - Dynamical Systems, Kinetics in biochemical problems (pharmacokinetics, enzyme kinetics, etc.)
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