title: On existence and uniqueness of the carrying simplex for competitive dynamical systems.
abstract: Certain dynamical models of competition are shown to have a unique invariant hypersurface Σ, having simple geometry and topology, such that every non-zero tractory is asymptotic to a trajectory in Σ.
authors.affiliation: University of California, Berkeley University of Wisconsin, Madison, USA. mwhirsch@chorus.net
authors.forename: Morris W
authors.initials: MW
authors.lastname: Hirsch
mesh_terms: D008962:Models, Theoretical