Dynamics of planar systems that model stage-structured populations
type: Item
instance of: scholarly article
title: Dynamics of planar systems that model stage-structured populations
zbMATH Open document ID: 1418.92104
DOI: 10.1155/2015/137182
published in: Discrete Dynamics in Nature and Society
publication date: 2019-02-19T00:00:00Z
review text: Summary: 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.
Mathematics Subject Classification ID: 92D25
Mathematics Subject Classification ID: 39A12
zbMATH DE Number: 7025225
Wikidata QID: Q59105293
author: Nika Lazaryan
author: Hassan Sedaghat
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2015/137182
OpenAlex ID: W1913210864
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description: scientific article; zbMATH DE number 7025225