Geodesic
Strong monotonicity for analytic ordinary differential equations
Electronic journal of differential equations, Tome 2009 (2009)
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 
@article{EJDE_2009__2009__a48,
     author = {Walcher,  Sebastian and Zanders,  Christian},
     title = {Strong monotonicity for analytic ordinary differential equations},
     journal = {Electronic journal of differential equations},
     year = {2009},
     volume = {2009},
     zbl = {1375.34054},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2009__2009__a48/}
}
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AU  - Zanders,  Christian
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%A Zanders,  Christian
%T Strong monotonicity for analytic ordinary differential equations
%J Electronic journal of differential equations
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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__a48/