SIAM Journal on Applied Mathematics, Volume 80, Issue 4, Page 1936-1946, January 2020.
We show that weakly reversible mass-action systems can have a continuum of positive steady states, coming from the zeroes of a multivariate polynomial. Moreover, the same is true of systems whose underlying reaction network is reversible and has a single connected component. In our construction, we relate operations on the reaction network to the multivariate polynomial occurring as a common factor in the system of differential equations.

中文翻译：

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具有无限多个正稳态的弱可逆质量作用系统

SIAM应用数学杂志，第80卷，第4期，第1936-1946页，2020年1月。
我们证明了弱可逆质量作用系统可以具有一个正稳态的连续体，它来自多元多项式的零。此外，其基础反应网络是可逆的且具有单个连接组件的系统也是如此。在我们的构造中，我们将反应网络上的操作与微分方程组中作为公共因子发生的多元多项式联系起来。