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

Banaji, Murad ORCID: https://orcid.org/0000-0002-4983-0377 and Mierczyński, Janusz (2012) Global convergence in systems of differential equations arising from chemical reaction networks. Journal of Differential Equations, 254 (3) . pp. 1359-1374. ISSN 0022-0396 [Article] (doi:10.1016/j.jde.2012.10.018)

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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.

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