Spiral waves, chaos and multiple attractors in lattice models of interacting populations

Abstract Stable spatial patterns are shown to appear in a 2D coupled map lattice (CML) approach. The model is constructed from a two-dimensional nonlinear map based on the dynamics of interacting populations. Such structures are mainly spiral waves. Chaotic and periodic dynamics are present for different parameter combinations, as shown by the largest Lyapunov exponent. Multiple attractors are present for some range of initial conditions and spiral waves are also present at the chaotic domain of parameters. implications for ecosystem dynamics are also discussed.

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