| A global convergence result for strongly monotone systems with positive translation invariance (2006) | |||||||||
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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