Delay stability of reaction systems

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. •Algebraic condition (independent of time delays) for linear stability of chemical systems with delay.•Algebraic condition (independent of time delays and parameters) for linear stability of chemical systems with delay.•Precludes occurrence of oscillations via Hopf bifurcation.