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Stochastic variability of regular and chaotic dynamics in 2D metapopulation model

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  • Belyaev, Alexander
  • Bashkirtseva, Irina
  • Ryashko, Lev

Abstract

A behavior of metapopulation consisting of two coupled subsystems modeled by the Ricker map is considered. We study how dynamics of the metapopulation changes under increase in the intensity of migration between subpopulations. For the deterministic model, a variety of equilibrium, periodic, quasiperiodic, and chaotic attractors is described. An impact of random disturbances on the behavior of metapopulation is studied both numerically and analytically with the help of confidence domains. A phenomenon of the noise-induced temporal stabilization of the unstable equilibrium is discovered. We point out the special role of transients and fractal riddled basins in the noise-induced transitions from order to chaos.

Suggested Citation

  • Belyaev, Alexander & Bashkirtseva, Irina & Ryashko, Lev, 2021. "Stochastic variability of regular and chaotic dynamics in 2D metapopulation model," Chaos, Solitons & Fractals, Elsevier, vol. 151(C).
    • Handle: RePEc:eee:chsofr:v:151:y:2021:i:c:s096007792100624x
    DOI: 10.1016/j.chaos.2021.111270
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    References listed on IDEAS

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    5. Kuperman, M.N. & Laguna, M.F. & Abramson, G. & Monjeau, J.A. & Lanata, J.L., 2019. "Metapopulation oscillations from satiation of predators," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 527(C).
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    Cited by:

    1. Bashkirtseva, Irina & Ryashko, Lev, 2022. "Stochastic generation and shifts of phantom attractors in the 2D Rulkov model," Chaos, Solitons & Fractals, Elsevier, vol. 159(C).

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