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arXiv · 2210.13633

Global stability of perturbed complex-balanced systems

Polly Y. Yu
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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.

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Polly Y. Yu. 2022-10-24. Global stability of perturbed complex-balanced systems. https://arxiv.org/abs/2210.13633

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