Some remarks on the delay effects on the stability of biochemical networks

This paper provides some qualitative results concerning the asymptotic stability of some dynamical systems encountered in biochemical networks. We adopt a frequency-domain approach combined with a simple geometric interpretation and we give a complete characterization of the dynamical behavior of the linearized system under consideration. The conclusion of the analysis can be resumed as follows: the linearized system is either delay-independent stable/unstable or it has only one delay stability interval.