Global convergence in systems of differential equations arising from chemical reaction networks

Murad Banaji; J. Mierczynski

doi:10.1016/j.jde.2012.10.018

Global convergence in systems of differential equations arising from chemical reaction networks

Murad Banaji, J. Mierczynski

School of Mathematics & Physics

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Abstract

It is shown that certain classes of differential equations arising from the modelling of chemical reaction networks have the following property: the state space is foliated by invariant subspaces each of which contains a unique equilibrium which, in turn, attracts all initial conditions on the associated subspace.

Original language	English
Pages (from-to)	1359-1374
Number of pages	16
Journal	Journal of Differential Equations
Volume	254
Issue number	3
DOIs	https://doi.org/10.1016/j.jde.2012.10.018
Publication status	Published - 1 Feb 2013

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title = "Global convergence in systems of differential equations arising from chemical reaction networks",

abstract = "It is shown that certain classes of differential equations arising from the modelling of chemical reaction networks have the following property: the state space is foliated by invariant subspaces each of which contains a unique equilibrium which, in turn, attracts all initial conditions on the associated subspace.",

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Global convergence in systems of differential equations arising from chemical reaction networks

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