论文标题
一类动力学隔室模型的持久性和稳定性
Persistence and stability of a class of kinetic compartmental models
论文作者
论文摘要
在本文中，我们表明，具有有界能力的动力学隔室模型的动力学，单调反应速率和牢固连接的互连结构是持久的。结果基于化学反应网络（CRN）和系统的相应培养皿净表示。对于持续分析，可以表明，研究模型类别的培养皿网中的所有虹吸管都可以有效地表征。此外，还分析了基于一般隔室系统的持久性和理论的平衡的存在和稳定性。获得的结果可以应用于基于简单排除原理的一般动力学模型的分析。
In this paper we show that the dynamics of a class of kinetic compartmental models with bounded capacities, monotone reaction rates and a strongly connected interconnection structure is persistent. The result is based on the chemical reaction network (CRN) and the corresponding Petri net representation of the system. For the persistence analysis, it is shown that all siphons in the Petri net of the studied model class can be characterized efficiently. Additionally, the existence and stability of equilibria are also analyzed building on the persistence and the theory of general compartmental systems. The obtained results can be applied in the analysis of general kinetic models based on the simple exclusion principle.
