Geodesic
Strong monotonicity for analytic ordinary differential equations
Electronic Journal of Differential Equations, Tome 2009 (2009).

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: We present a necessary and sufficient criterion for the flow of an analytic ordinary differential equation to be strongly monotone; equivalently, strongly order-preserving. The criterion is given in terms of the reducibility set of the derivative of the right-hand side. Some applications to systems relevant in biology and ecology, including nonlinear compartmental systems, are discussed.
Classification : 37C65, 37C25, 92C45, 34A12
Keywords: monotone dynamical system, limit set, irreducible, compartmental model 
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     author = {Walcher, Sebastian and Zanders, Christian},
     title = {Strong monotonicity for analytic ordinary differential equations},
     journal = {Electronic Journal of Differential Equations},
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     volume = {2009},
     year = {2009},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2009__2009__a148/}
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Walcher, Sebastian; Zanders, Christian. Strong monotonicity for analytic ordinary differential equations. Electronic Journal of Differential Equations, Tome 2009 (2009). http://geodesic.mathdoc.fr/item/EJDE_2009__2009__a148/