Delay stability of reaction systems
Dynamical Systems
2020-06-05 v2 Molecular Networks
Abstract
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.
Cite
@article{arxiv.2003.04959,
title = {Delay stability of reaction systems},
author = {Gheorghe Craciun and Maya Mincheva and Casian Pantea and Polly Y. Yu},
journal= {arXiv preprint arXiv:2003.04959},
year = {2020}
}