A global convergence result for strongly monotone systems with positive translation invariance
Classical Analysis and ODEs
2007-05-23 v1 Optimization and Control
Abstract
We show that strongly monotone systems of ordinary differential equations which have a certain translation-invariance property are so that all solutions converge to a unique equilibrium. The result may be seen as a dual of a well-known theorem of Mierczynski for systems that satisfy a conservation law. An application to a reaction of interest in biochemistry is provided as an illustration.
Cite
@article{arxiv.math/0602005,
title = {A global convergence result for strongly monotone systems with positive translation invariance},
author = {David Angeli and Eduardo D. Sontag},
journal= {arXiv preprint arXiv:math/0602005},
year = {2007}
}