Analysis of the Noise-Induced Regimes in Ricker Population Model with Allee Effect via Confidence Domains Technique
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 ana...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Hindawi Limited
2014-01-01
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| Series: | BioMed Research International |
| Online Access: | http://dx.doi.org/10.1155/2014/346239 |
| Summary: | 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. |
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| ISSN: | 2314-6133 2314-6141 |