Global stability of perturbed complex-balanced systems
Dynamical Systems
2022-10-26 v1
Abstract
A class of polynomial dynamical systems called complex-balanced are locally stable and conjectured to be globally stable. In general, complex-balancing is not a robust property, i.e., small changes in parameter values may result in the loss of the complex-balanced property. We show that robustly permanent complex-balanced systems are globally stable even after the rate constants have been perturbed.
Cite
@article{arxiv.2210.13633,
title = {Global stability of perturbed complex-balanced systems},
author = {Polly Y. Yu},
journal= {arXiv preprint arXiv:2210.13633},
year = {2022}
}