论文标题
单目标网络
Single-Target Networks
论文作者
论文摘要
我们在质量动力学下表征了所有单一目标网络的动力学：要么（i）在全球范围内稳定速率常数（实际上，动态地等同于详细的均衡系统）或（ii）对于任何选择速率常数和所有轨迹的稳态都不具有正稳态，并且所有轨迹都必须融合到正或Infinate或Infination或Inferity或Infinity或Infinity或Inferition的边界上。此外，当且仅当网络的目标顶点在源顶点的凸壳的相对内部时，才会发生全局稳定性。
We characterize the dynamics of all single-target networks under mass-action kinetics: either the system is (i) globally stable for all choice of rate constants (in fact, dynamically equivalent to a detailed-balanced system) or (ii) has no positive steady states for any choice of rate constants and all trajectories must converge to the boundary of the positive orthant or to infinity. Moreover, global stability occurs if and only if the target vertex of the network is in the relative interior of the convex hull of the source vertices.
