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Stochastic analysis of dynamic transformations in a system of migration-coupled chaotic populations with the Allee effect

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  • Bashkirtseva, Irina

Abstract

The problem of identifying mechanisms of abrupt changes in the dynamics of coupled stochastic systems is investigated. This problem is studied for a metapopulation consisting of two functionally coupled chaotic subsystems modeled by the Ricker map with Allee effect. For the initial deterministic model, a variety of dynamical modes with chaos-order transformations, different regimes of synchronization and transitions to extinction is parametrically investigated in dependence of migration intensity. We perform an extended analysis of stochastic phenomena caused by random fluctuations in the intensity of coupling: (i) noise-induced order-chaos transformations; (ii) stochastic transitions between attractors with suppression of periodic oscillations; (iii) noise-induced extinction of metapopulation. To analyze all these stochastic effects, we use both statistical processing of numerical simulation results and a new mathematical technique using stochastic sensitivity functions and confidence domains.

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  • Bashkirtseva, Irina, 2025. "Stochastic analysis of dynamic transformations in a system of migration-coupled chaotic populations with the Allee effect," Chaos, Solitons & Fractals, Elsevier, vol. 195(C).
    • Handle: RePEc:eee:chsofr:v:195:y:2025:i:c:s0960077925003030
    DOI: 10.1016/j.chaos.2025.116290
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    References listed on IDEAS

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    1. 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).
    2. Shepelev, I.A. & Bukh, A.V. & Strelkova, G.I., 2022. "Anti-phase synchronization of waves in a multiplex network of van der Pol oscillators," Chaos, Solitons & Fractals, Elsevier, vol. 162(C).
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    5. Bashkirtseva, Irina & Ryashko, Lev, 2017. "How environmental noise can contract and destroy a persistence zone in population models with Allee effect," Theoretical Population Biology, Elsevier, vol. 115(C), pages 61-68.
    6. Metta, Sabino & Provenzale, Antonello & Spiegel, Edward A., 2010. "On–off intermittency and coherent bursting in stochastically-driven coupled maps," Chaos, Solitons & Fractals, Elsevier, vol. 43(1), pages 8-14.
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