Asymptotic stability of delayed complex balanced reaction networks with non-mass action kinetics
Dynamical Systems
2024-07-15 v2
Abstract
We consider delayed chemical reaction networks with generalized kinetics of product form and show that complex balancing implies that within each positive stoichiometric compatibility class there is a unique positive equilibrium that is locally asymptotically stable relative to its class. The main tools of the proofs are respectively a version of the well-known classical logarithmic Lyapunov function applied to kinetic systems and its generalization to the delayed case as a Lyapunov-Krasovskii functional. Finally, we demonstrate our results through illustrative examples.
Keywords
Cite
@article{arxiv.2407.00387,
title = {Asymptotic stability of delayed complex balanced reaction networks with non-mass action kinetics},
author = {Mihály András Vághy and Gábor Szederkényi},
journal= {arXiv preprint arXiv:2407.00387},
year = {2024}
}