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, and we present a procedure for computing a witness for bistability.

中文翻译：

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隔离网络的双稳态

我们解决了多个非简并稳态的猜想，并证明了螯合网络的双稳态。更具体地说，我们证明，对于任何奇数个物种以及任何生产要素，隔离网络的完全开放扩展都允许三个非简并的正稳态，其中两个是局部渐近稳定的。此外，我们在隔离网络允许双稳态的参数空间中提供了一个非空的开放集，并提出了计算双稳态证人的过程。