Slow-fast dynamics in a model of population and resource growth
AbstractModels of the interaction of population, the economy, and the environment often contain nonlinear functional relationships and variables that move at different speeds. These properties foster apparent unpredictabilities in system behaviour. Using a simple deterministic model of demographic, economic and environmental interactions we illustrate the usefulness of geometric singular perturbation theory in environmental population economics. In contrast to local stability analysis, the theory of slow-fast dynamics helps to gain new insights into the global behaviour of the system. In particular, the knowledge of the basins of attraction of the stationary states enables one to determine the regions of sustainable future paths of resources and population.
Download InfoIf you experience problems downloading a file, check if you have the proper application to view it first. In case of further problems read the IDEAS help page. Note that these files are not on the IDEAS site. Please be patient as the files may be large.
As the access to this document is restricted, you may want to look for a different version under "Related research" (further below) or search for a different version of it.
Bibliographic InfoArticle provided by Taylor and Francis Journals in its journal Mathematical Population Studies.
Volume (Year): 6 (1996)
Issue (Month): 2 ()
Contact details of provider:
You can help add them by filling out this form.
CitEc Project, subscribe to its RSS feed for this item.
- Good, David H. & Reuveny, Rafael, 2006. "The fate of Easter Island: The limits of resource management institutions," Ecological Economics, Elsevier, vol. 58(3), pages 473-490, June.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Michael McNulty).
If references are entirely missing, you can add them using this form.