Small heterogeneity has large effects on synchronization of ecological oscillators

DOI10.1007/s11538-008-9355-9zbMath1169.92044OpenAlexW2138282701WikidataQ43900369 ScholiaQ43900369MaRDI QIDQ841787

Alan Hastings, Eli E. Goldwyn

Publication date: 18 September 2009

Published in: Bulletin of Mathematical Biology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11538-008-9355-9

zbMATH Keywords

synchronydispersalphase response curveMoran effectpredator-prey dynamicspopulation persistence

Mathematics Subject Classification ID

Dynamical systems in biology (37N25) Ecology (92D40)

Related Items (12)

Predator-prey-subsidy population dynamics on stepping-stone domains with dispersal delays ⋮ How does adaptive consumer movement affect population dynamics in consumer-resource metacommunities with homogeneous patches? ⋮ Dispersal-induced synchrony, temporal stability, and clustering in a mean-field coupled Rosenzweig–MacArthur model ⋮ Generalized synchronization in a tritrophic food web metacommunity ⋮ Dispersal and noise: various modes of synchrony in ecological oscillators ⋮ Hybrid approach to modeling spatial dynamics of systems with generalist predators ⋮ Non-random spatial coupling induces desynchronization, chaos and multistability in a predator-prey-resource system ⋮ The roles of the Moran effect and dispersal in synchronizing oscillating populations ⋮ The roles of spatial heterogeneity and adaptive movement in stabilizing (or destabilizing) simple metacommunities ⋮ Coupled phase-amplitude dynamics in heterogeneous metacommunities ⋮ Temporal patterns of dispersal-induced synchronization in population dynamics ⋮ Predator avoidance and foraging for food shape synchrony and response to perturbations in trophic metacommunities

Uses Software

• XPPAUT

Cites Work

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• When can dispersal synchronize populations?
• Chemical oscillations, waves, and turbulence
• n:m phase-locking of weakly coupled oscillators
• Spatial structure, environmental heterogeneity, and population dynamics: Analysis of the coupled logistic map
• The dynamics of two diffusively coupled predator--prey populations.
• Simulating, Analyzing, and Animating Dynamical Systems
• Phase Equations for Relaxation Oscillators
• The geometry of biological time.

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