Weakly Reversible Mass-Action Systems With Infinitely Many Positive Steady States
Weakly Reversible Mass-Action Systems With Infinitely Many Positive Steady States
复制标题
具有无限多个正稳态的弱可逆质量作用系统
DOI：
10.1137/19m1303034
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发表时间：
2019
期刊：
影响因子：
--
通讯作者：
Polly Y. Yu
中科院分区：
文献类型：
--
作者：
B. Boros;G. Craciun;Polly Y. Yu
我们表明，弱可逆的质量作用系统可以有一个连续的正稳态，来自一个多元多项式的零点。此外，这同样适用于其基础反应网络是可逆的并且具有单个连接组件的系统。在我们的构造中，我们将反应网络上的操作与微分方程系统中作为公共因子发生的多元多项式相关联。
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.