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Delay stability of reaction systems.
Mathematical Biosciences ( IF 4.3 ) Pub Date : 2020-05-26 , DOI: 10.1016/j.mbs.2020.108387
Gheorghe Craciun 1 , Maya Mincheva 2 , Casian Pantea 3 , Polly Y Yu 4
Affiliation  

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.



中文翻译:

延迟反应系统的稳定性。

当必须考虑过去状态的影响时,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。我们为平衡浓度的绝对延迟稳定性(即与延迟参数无关的局部渐近稳定性)提供了充分的条件。提出了一些关于带有延迟的隔离网络的有趣示例。

更新日期:2020-05-26
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