论文标题

反应系统的延迟稳定性

Delay stability of reaction systems

论文作者

Craciun, Gheorghe, Mincheva, Maya, Pantea, Casian, Yu, Polly Y.

论文摘要

当必须考虑过去状态的效果时,将延迟微分方程用作模型。在这项工作中,我们考虑具有质量作用动力学的化学反应网络的延迟模型。我们获得了足够的条件,可以使平衡浓度的绝对延迟稳定性,即局部渐近稳定性独立于延迟参数。介绍了有关延迟的封存网络上的几个有趣的示例。

Delay differential equations are used as a model when the effect of past states has to be taken into account. In this work we consider delay models of chemical reaction networks with mass action kinetics. We obtain a sufficient condition for absolute delay stability of equilibrium concentrations, i.e., local asymptotic stability independent of the delay parameters. Several interesting examples on sequestration networks with delays are presented.

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