Counter-Examples about Lower- and Upper-Bounded Population Growth

Jacques Demongeot and Jules Waku

Mathematical Population Studies, 2005, vol. 12, issue 4, 199-209

Abstract: For a unimodal growth function f having its maximum at a critical state xc, the interval bounding the population size asymptotically is usually presented as being equal to [f○2(xc), f(xc)]. This interval however does not represent the maximum range within which the population size can vary, even asymptotically. The actual invariant interval containing the population size is equal to: [min(x*, f○2(xc)), f(xc)], where x* denotes the non-zero fixed point, assumed to be unique, of the iteration of f.

Keywords: interval iteration; invariant domain; population dynamics; growth model; Verhulst model; Ricker model (search for similar items in EconPapers)
Date: 2005
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
http://www.tandfonline.com/doi/abs/10.1080/08898480500301785 (text/html)
Access to full text is restricted to subscribers.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:taf:mpopst:v:12:y:2005:i:4:p:199-209

Ordering information: This journal article can be ordered from
http://www.tandfonline.com/pricing/journal/GMPS20

DOI: 10.1080/08898480500301785

Access Statistics for this article

Mathematical Population Studies is currently edited by Prof. Noel Bonneuil, Annick Lesne, Tomasz Zadlo, Malay Ghosh and Ezio Venturino

More articles in Mathematical Population Studies from Taylor & Francis Journals
Bibliographic data for series maintained by Chris Longhurst ().