论文标题
与一维化学计量子空间的反应网络的多稳定性
Multistability of Reaction Networks with One-Dimensional Stoichiometric Subspaces
论文作者
论文摘要
对于具有一维化学计量子空间的反应网络，我们显示以下结果。 （1）如果最大阳性稳态数为偶数n，则稳定阳性稳态的最大数量为N/2。 （2）如果最大正稳态数为奇数N，则我们在网络上提供一个条件，以便如果满足此条件，则稳定正稳态的最大数量为（n-1）/2，而该最大数字为（n+1）/2否则。
For the reaction networks with one-dimensional stoichiometric subspaces, we show the following results. (1) If the maximum number of positive steady states is an even number N, then the maximum number of stable positive steady states is N/2. (2) If the maximum number of positive steady states is an odd number N, then we provide a condition on the network such that the maximum number of stable positive steady states is (N-1)/2 if this condition is satisfied, and this maximum number is (N+1)/2 otherwise.
