2022/10/24 by Yu, Polly Y.
#Dynamical Systems (math.DS) #FOS: Mathematics
paper · doi:10.48550/arxiv.2210.13633
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.