title: Monotone bifurcation graphs.
abstract: In recent work by Angeli and the authors, it was shown that the stability and global behaviour of strongly monotone dynamical systems may be profitably studied using a technique that involves feedback decompositions into 'well-behaved' subsystems. The present paper generalizes the approach, so that it applies to a far larger class of systems. As an illustration, the techniques are used in the analysis of a nine-variable autoregulatory transcription network. Also, extensions to delay and reaction diffusion systems are considered.
authors.affiliation: Mathematical Biosciences Institute, Ohio State University, Columbus, Ohio, USA. genciso@mbi.osu.edu
authors.forename: G A
authors.initials: GA
authors.lastname: Enciso
authors.forename: E D
authors.initials: ED
authors.lastname: Sontag
mesh_terms: D053263:Gene Regulatory Networks; D008962:Models, Theoretical; D035501:Uncertainty