title: Analysis of the noise-induced regimes in Ricker population model with Allee effect via confidence domains technique.
abstract: We consider a discrete-time Ricker population model with the Allee effect under the random disturbances. It is shown that noise can cause various dynamic regimes, such as stable stochastic oscillations around the equilibrium, noise-induced extinction, and a stochastic trigger. For the parametric analysis of these regimes, we develop a method based on the investigation of the dispersions and arrangement of confidence domains. Using this method, we estimate threshold values of the noise generating such regimes.
authors: Ural Federal University, Lenina 51, Ekaterinburg 620083, Russia.
authors: Irina
authors: 0000-0002-9254-8297
authors: I
authors: Bashkirtseva
authors: Ural Federal University, Lenina 51, Ekaterinburg 620083, Russia.
authors: Lev
authors: 0000-0002-0817-3753
authors: L
authors: Ryashko
mesh_terms: D008954:Models, Biological; D011157:Population Dynamics; D013269:Stochastic Processes