Journal of Mathematical Chemistry

, Volume 41, Issue 3, pp 295–314

Monotone Chemical Reaction Networks

Authors

    • Department of MathematicsUniversity of Florida
  • David Angeli
    • Dip. di Sistemi e InformaticaUniversitá di Firenze
  • Eduardo D. Sontag
    • Department of MathematicsRutgers University
Article

DOI: 10.1007/s10910-006-9075-z

Cite this article as:
Leenheer, P.D., Angeli, D. & Sontag, E.D. J Math Chem (2007) 41: 295. doi:10.1007/s10910-006-9075-z

We analyze certain chemical reaction networks and show that every solution converges to some steady state. The reaction kinetics are assumed to be monotone but otherwise arbitrary. When diffusion effects are taken into account, the conclusions remain unchanged. The main tools used in our analysis come from the theory of monotone dynamical systems. We review some of the features of this theory and provide a self-contained proof of a particular attractivity result which is used in proving our main result.

Keywords

chemical reaction networksmonotone systems

AMS subject classification

80A3034C12

Copyright information

© Springer Science+Business Media, Inc. 2006