Delay stability of reaction systems

Authors

Gheorghe Craciun, University of Wisconsin-Madison
Maya Mincheva, Northern Illinois University
Casian Pantea, West Virginia University
Polly Y. Yu, University of Wisconsin-Madison

Author ORCID Identifier

Maya Mincheva:https://orcid.org/0000-0001-5415-9613

Publication Title

Mathematical Biosciences

ISSN

00255564

E-ISSN

44044

Document Type

Article

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.

Publication Date

8-1-2020

DOI

10.1016/j.mbs.2020.108387

PubMed ID

32470445

Recommended Citation

Craciun, Gheorghe; Mincheva, Maya; Pantea, Casian; and Yu, Polly Y., "Delay stability of reaction systems" (2020). NIU Bibliography. 490.
https://huskiecommons.lib.niu.edu/niubib/490

Department

Department of Mathematical Sciences