2006/02/01 by Angeli, David, Sontag, Eduardo D.
#34D23 #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Optimization and Control (math.OC)
paper · doi:10.48550/arxiv.math/0602005
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.