Rarity and chaos
type: Item
instance of: scholarly article
title: Rarity and chaos
zbMATH Open document ID: 0556.92017
DOI: 10.1016/0025-5564(84)90058-0
author: Thomas D. Rogers
published in: Mathematical Biosciences
publication date: 1984-01-01T00:00:00Z
review text: This paper gives counterexamples to previously developed analyses which attempted to link rarity (recurrently small densities) with irregular dynamics in one dimensional difference equation models for population growth. The problem lies in a technical definition of rarity, which turns out to be irrelevant. Nevertheless, certain numerical evidence (bifurcation diagrams for parametrized families) suggests that there are easily calculated upper and lower bounds to densities, which are closely approximated in the chaotic regime.
Mathematics Subject Classification ID: 92D25
Mathematics Subject Classification ID: 39A10
zbMATH DE Number: 3887505
zbMATH Keywords: chaos
zbMATH Keywords: counterexamples
zbMATH Keywords: rarity
zbMATH Keywords: irregular dynamics
zbMATH Keywords: population growth
zbMATH Keywords: bifurcation diagrams
MaRDI profile type: Publication
full work available at URL: 0025-5564(84)90058-0
OpenAlex ID: W2044636210
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description: scientific article; zbMATH DE number 3887505