Small-scale structure of nonlinearly interacting species advected by chaotic flows

Abstract

We study the spatial patterns formed by interacting biological populations or reacting chemicals under the influence of chaotic flows. Multiple species and nonlinear interactions are explicitly considered, as well as cases of smooth and nonsmooth forcing sources. The small-scale structure can be obtained in terms of characteristic Lyapunov exponents of the flow and of the chemical dynamics. Different kinds of morphological transitions are identified. Numerical results from a three-component plankton dynamics model support the theory, and they serve also to illustrate the influence of asymmetric couplings.

17 pages, 6 figures

References in corpus (4)

• Particles and fields in fluid turbulence
• Precision Measurements of Stretching and Compression in Fluid Mixing
• Intermittency in two-dimensional Ekman-Navier-Stokes turbulence
• The role of diffusion in the chaotic advection of a passive scalar with finite lifetime

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• Resonance and frequency-locking phenomena in spatially extended phytoplankton-zooplankton system with additive noise and periodic forces
• Spatial Patterns in Chemically and Biologically Reacting Flows
• Stochastic population dynamics in turbulent fields
• The role of a delay time on the spatial structure of chaotically advected reactive scalars
• Predator-prey plankton dynamics in turbulent wakes behind islands
• Sustained plankton blooms under open chaotic flows