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

JOURNAL OF DIFFERENTIAL EQUATIONS

卷:254

Article

Banaji, Murad¹  Mierczynski, Janusz² 

[1] Univ Portsmouth, Dept Math, Portsmouth PO1 3HF, Hants, England

[2] Wroclaw Univ Technol, Inst Math & Comp Sci, PL-50370 Wroclaw, Poland

关键词: Global attractivity;    Monotone dynamical systems;    Chemical reactions;    Network structure;    DSR graph;   

DOI  :  10.1016/j.jde.2012.10.018

来源: Elsevier

【 摘 要 】

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. (C) 2012 Elsevier Inc. All rights reserved.

【 授权许可】

Free