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A global convergence result for strongly monotone systems with positive translation invariance

David Angeli·Eduardo D. Sontag
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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.

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David Angeli, Eduardo D. Sontag. 2006-02-01. A global convergence result for strongly monotone systems with positive translation invariance. https://arxiv.org/abs/math/0602005

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