You are here: Home
/ Publication Information
Title: Reversing Period-Doubling Bifurcations in Models of Population Interactions Using Constant Stocking or Harvesting
Author: Selgrade, James F.; Roberds, James H.;
Source: Canadian Applied Mathematics Quarterly, Vol. 6, No. 3, Fall 1998
Publication Series: Miscellaneous Publication
Description: This study considers a general class of two-dimensional, discrete population models where each per capita transition function (fitness) depends on a linear combination of the densities of the interacting populations. The fitness functions are either monotone decreasing functions (pioneer fitnesses) or one-humped functions (climax fitnesses). Conditions are derived which guarantee that an equilibrium loses stability through a period-doubling bifurcation with respect to the pioneer self-crowding parameter. A constant term which represents stocking or harvesting of the pioneer population is introduced into the system. Conditions are determined under which this stocking or harvesting will reverse the bifurcation and restabilize the equilibrium, and comparisons are made with the effects of density dependent stocking or harvesting. Examples illustrate the importance of the concavity of the pioneer fitness in determining whether stocking or harvesting has a stabilizing effect.
- We recommend that you also print this page and attach it to the printout of the article, to retain the full citation information.
- This article was written and prepared by U.S. Government employees on official time, and is therefore in the public domain.
- You may send email to email@example.com to request a hard copy of this publication. (Please specify exactly
which publication you are requesting and your mailing address.)
XML: View XML
Selgrade, James F.; Roberds, James H. 1998. Reversing Period-Doubling Bifurcations in Models of Population Interactions Using Constant Stocking or Harvesting. Canadian Applied Mathematics Quarterly, Vol. 6, No. 3, Fall 1998
Get the latest version of the Adobe Acrobat reader or Acrobat Reader for Windows with Search and Accessibility