Document Type
Article
Original Publication Date
2015
Journal/Book/Conference Title
Discrete Dynamics In Nature And Society
Volume
2015
DOI of Original Publication
10.1155/2015/137182
Date of Submission
May 2016
Abstract
We study a general discrete planar system for modeling stage-structured populations. Our results include conditions for the global convergence of orbits to zero (extinction) when the parameters (vital rates) are time and density dependent. When the parameters are periodic we obtain weaker conditions for extinction. We also study a rational special case of the system for Beverton-Holt type interactions and show that the persistence equilibrium (in the positive quadrant) may be globally attracting even in the presence of interstage competition. However, we determine that with a sufficiently high level of competition, the persistence equilibrium becomes unstable (a saddle point) and the system exhibits period two oscillations.
Rights
Copyright © 2015 N. Lazaryan and H. Sedaghat. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Is Part Of
VCU Mathematics and Applied Mathematics Publications
Comments
Originally published at http://dx.doi.org/10.1155/2015/137182