Geometric analysis of ecological models with slow and fast processes

  • Rinaldi S
  • Scheffer M
  • 136


    Mendeley users who have this article in their library.
  • 86


    Citations of this article.


The interaction of fast and slow processes is an integral part of the sudden large shifts that sometimes occur in ecosystems. To study the effects of slow/fast variables on ecosystems, we used a range of examples from natural and exploited aquatic and terrestrial systems. So-called catastrophic bifurcations in the dynamics of the fast components are at the heart of such dramatic shifts. We discuss some of the most important bifurcations and show how they can be analyzed. Subsequently, we show how the interaction with slowly changing variables can be understood from graphs constructed in a simple way using the singular perturbation approach.

Author-supplied keywords

  • Bifurcation analysis
  • Catastrophes
  • Quasi-steady state
  • Singular perturbation
  • Slow-fast cycles
  • Slow-fast dynamics

Get free article suggestions today

Mendeley saves you time finding and organizing research

Sign up here
Already have an account ?Sign in

Find this document


  • Sergio Rinaldi

  • Marten Scheffer

Cite this document

Choose a citation style from the tabs below

Save time finding and organizing research with Mendeley

Sign up for free