一类动力学房室模型的持久性和稳定性
Persistence and stability of a class of kinetic compartmental models
摘要：
本文证明了一类具有有界容量、单调反应速率和强连通互连结构的动力学房室模型的动力学是持久的。结果是基于化学反应网络（CRN）和相应的Petri网表示的系统。对于持久性分析，它表明，所有的信标在Petri网的研究模型类可以有效地特点。此外，基于持续性理论和一般分区系统的理论，还分析了平衡点的存在性和稳定性。所得结果可应用于基于简单不相容原理的一般动力学模型的分析。
英文摘要：
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.
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