Multiple attractors and resonance in periodically forced population models
type: Item
instance of: scholarly article
title: Multiple attractors and resonance in periodically forced population models
zbMATH Open document ID: 0957.37018
DOI: 10.1016/S0167-2789(99)00231-6
author: Shandelle M. Henson
published in: Physica D
publication date: 2001-04-01T00:00:00Z
review text: Discrete autonomous dynamical systems with periodic solutions admit multiple oscillatory solutions in the advent of periodic forcing. In general, the multiple cycles are mutually out of phase, and some of the cycle averages may increase with the forcing amplitude while others decrease. The multiple cycles differ in phase, and may differ in average total population size as well. The author shows that the average total population size may resonate or attenuate with the amplitude of the environmental fluctuation depending on the initial population size. The author applies his result to the periodic LPA model, Tribolium populations were maintained in periodically forced flour habitats of constant \(20g\), alternating \(2s-12g\), and alternating \(32-12g\).
Mathematics Subject Classification ID: 37C25
Mathematics Subject Classification ID: 37N25
zbMATH DE Number: 1496379
zbMATH Keywords: discrete autonomous dynamical systems
zbMATH Keywords: periodic solutions
zbMATH Keywords: multiple cycles
zbMATH Keywords: population size
reviewed by: Messoud Efendiev
MaRDI profile type: Publication
cites work: Competitive Coexistence in an Oscillating Chemostat
cites work: The effect of periodic habitat fluctuations on a nonlinear insect population model
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cites work: Q4141027
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full work available at URL: s0167-2789(99)00231-6
OpenAlex ID: W2071149749
description: scientific article; zbMATH DE number 1496379