{ "id": "1205.1716", "version": "v2", "published": "2012-05-08T14:54:42.000Z", "updated": "2012-11-06T11:26:16.000Z", "title": "Global convergence in systems of differential equations arising from chemical reaction networks", "authors": [ "Murad Banaji", "Janusz Mierczynski" ], "comment": "Some typos and minor errors from the previous version have been corrected", "doi": "10.1016/j.jde.2012.10.018", "categories": [ "math.CA", "math.DS" ], "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.", "revisions": [ { "version": "v2", "updated": "2012-11-06T11:26:16.000Z" } ], "analyses": { "keywords": [ "chemical reaction networks", "differential equations arising", "global convergence", "initial conditions", "unique equilibrium" ], "tags": [ "journal article" ], "publication": { "journal": "Journal of Differential Equations", "year": 2013, "volume": 254, "number": 3, "pages": 1359 }, "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2013JDE...254.1359B" } } }