https://doi.org/10.1140/epjs/s11734-024-01377-y
Regular Article
How migration changes dynamic patterns in a stochastic metapopulation model with Allee effect
Department of Theoretical and Mathematical Physics, Ural Federal University, Lenina 51, 620000, Ekaterinburg, Russian Federation
Received:
30
August
2024
Accepted:
17
October
2024
Published online:
31
October
2024
In this paper, we consider a system of two coupled populations modeled by the Ricker map with Allee effect. It is shown that the system can exhibit various dynamic regimes with the change of intensity of migration flows between subpopulations. In the deterministic case, we localize parametric zones of multistability and explore different dynamic patterns of the system, such as equilibria, periodic, quasiperiodic, and chaotic oscillations. In this analysis, the apparatus of Lyapunov exponents is used. For oscillatory regimes, transitions between in-phase and anti-phase synchronization are discussed. In stochastic case, we study how intensity of migrations impacts the noise-induced partial and complete extinction of populations. For parametric analysis of noise-induced extinction, we use the method of confidence domains.
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