Chaos in a periodically forced predator-prey ecosystem model
type: Item
instance of: scholarly article
title: Chaos in a periodically forced predator-prey ecosystem model
zbMATH Open document ID: 0767.92028
DOI: 10.1016/0025-5564(93)90010-8
author: Gary C. W. Sabin
author: D. Summers
published in: Mathematical Biosciences
publication date: 1993-06-29T00:00:00Z
Mathematics Subject Classification ID: 92D40
Mathematics Subject Classification ID: 37D45
Mathematics Subject Classification ID: 92-08
zbMATH DE Number: 219758
zbMATH Keywords: periodic forcing
zbMATH Keywords: Volterra predator-prey ecosystem
zbMATH Keywords: intrinsic growth rate
zbMATH Keywords: forcing amplitude
zbMATH Keywords: forcing frequency
zbMATH Keywords: steady-state chaotic solutions
zbMATH Keywords: Poincaré maps
zbMATH Keywords: Lyapunov exponents
zbMATH Keywords: fractal dimensions
zbMATH Keywords: strange attractors
zbMATH Keywords: Feigenbaum cascade of period-doubling bifurcations
zbMATH Keywords: frequency locking
Wikidata QID: Q52404491
MaRDI profile type: Publication
full work available at URL: 0025-5564(93)90010-8
OpenAlex ID: W1965380422
cites work: Strange attractors in Volterra equations for species in competition
cites work: Q3696187
cites work: Q5186444
cites work: Hopf bifurcation and transition to chaos in Lotka-Volterra equation
cites work: Measuring the strangeness of strange attractors
cites work: Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
cites work: Recurrences and discrete dynamic systems
cites work: Scenarios leading to chaos in a forced Lotka-Volterra model.
cites work: Q3751882
cites work: Complex dynamics in a model microbial system
cites work: The dynamics of a discrete population model with threshold
cites work: Simple mathematical models with very complicated dynamics
cites work: Q3934188
cites work: Nonlinear Aspects of Competition Between Three Species
cites work: Strange attractors and chaotic motions of dynamical systems
cites work: Q4040287
cites work: Microbial predation in a periodically operated chemostat: A global study of the interaction between natural and externally imposed frequencies
cites work: Period-doubling bifurcations, chaos, phase-locking and devil's staircase in a Bonhoeffer-van der Pol oscillator
cites work: Q3127082
cites work: Q3996750
cites work: Time delays and chaos in two competing species
cites work: Q3736576
cites work: Determining Lyapunov exponents from a time series
description: scientific article; zbMATH DE number 219758