STABILITY SWITCHES IN DISCRETE FOOD-CHAIN PROBLEMS

DOI10.1142/S0218127409024657zbMath1179.39026MaRDI QIDQ3401512

Torsten Lindström

Publication date: 30 January 2010

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

zbMATH Keywords

chaostime seriesregression modeldiscrete food-chainneimark-sacker bifurcation

Mathematics Subject Classification ID

Population dynamics (general) (92D25) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Applications of difference equations (39A60) Bifurcation theory for difference equations (39A28)

Related Items (1)

Dynamical properties of maps fitted to data in the noise-free limit

Cites Work

• Detecting chaos requires careful analysis of nearly periodic data
• On the appearance of multiple attractors in discrete food-chains
• Bifurcations from an invariant circle for two-parameter families of maps of the plane: a computer-assisted study
• Multivariate adaptive regression splines
• Markovian representation of stochastic processes and its application to the analysis of autoregressive moving average processes
• On the dynamics of discrete food chains: Low- and high-frequency behavior and optimality of chaos
• A predator-prey model with optimal suppression of reproduction in the prey
• An elementary approach to dynamics and bifurcations of skew tent maps
• Period Three Implies Chaos
• Dependencies Between Competition and Predation---and Their Consequences for Initial Value Sensitivity
• ON CHAOS DETECTION METHODS
• Simple mathematical models with very complicated dynamics
• Cycles, chaos, and noise in predator-prey dynamics

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