Persistence and stability of a class of kinetic compartmental models

Abstract In this paper we show that the dynamics of a class kinetic compartmental models with bounded capacities, monotone reaction rates and strongly connected interconnection structure is persistent. The result based on chemical network (CRN) corresponding Petri net representation system. For persistence analysis, it shown all siphons in studied model can be characterized efficiently. Additionally, existence stability equilibria are also analyzed building theory general systems. obtained results applied analysis simple exclusion principle.