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

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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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Classical Analysis and ODEs, Optimization and Control, 34D23

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http://salesiana.dossiersoluciones.com/handle/123456789/108807

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0602005
 http://arxiv.org/abs/math/0602005

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arXiv