Preventing Noise-Induced Extinction in Discrete Population Models
A problem of the analysis and prevention of noise-induced extinction in nonlinear population models is considered. For the solution of this problem, we suggest a general approach based on the stochastic sensitivity analysis. To prevent the noise-induced extinction, we construct feedback regulators w...
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| Format: | Article |
| Language: | English |
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Wiley
2017-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2017/9610609 |
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| _version_ | 1832552621326467072 |
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| author | Irina Bashkirtseva |
| author_facet | Irina Bashkirtseva |
| author_sort | Irina Bashkirtseva |
| collection | DOAJ |
| description | A problem of the analysis and prevention of noise-induced extinction in nonlinear population models is considered. For the solution of this problem, we suggest a general approach based on the stochastic sensitivity analysis. To prevent the noise-induced extinction, we construct feedback regulators which provide a low stochastic sensitivity and keep the system close to the safe equilibrium regime. For the demonstration of this approach, we apply our mathematical technique to the conceptual but quite representative Ricker-type models. A variant of the Ricker model with delay is studied along with the classic widely used one-dimensional system. |
| format | Article |
| id | doaj-art-1d74efccc35449268f8168fb6ea4a96c |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2017-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-1d74efccc35449268f8168fb6ea4a96c2025-02-03T05:58:09ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2017-01-01201710.1155/2017/96106099610609Preventing Noise-Induced Extinction in Discrete Population ModelsIrina Bashkirtseva0Ural Federal University, Lenina 51, Ekaterinburg 620000, RussiaA problem of the analysis and prevention of noise-induced extinction in nonlinear population models is considered. For the solution of this problem, we suggest a general approach based on the stochastic sensitivity analysis. To prevent the noise-induced extinction, we construct feedback regulators which provide a low stochastic sensitivity and keep the system close to the safe equilibrium regime. For the demonstration of this approach, we apply our mathematical technique to the conceptual but quite representative Ricker-type models. A variant of the Ricker model with delay is studied along with the classic widely used one-dimensional system.http://dx.doi.org/10.1155/2017/9610609 |
| spellingShingle | Irina Bashkirtseva Preventing Noise-Induced Extinction in Discrete Population Models Discrete Dynamics in Nature and Society |
| title | Preventing Noise-Induced Extinction in Discrete Population Models |
| title_full | Preventing Noise-Induced Extinction in Discrete Population Models |
| title_fullStr | Preventing Noise-Induced Extinction in Discrete Population Models |
| title_full_unstemmed | Preventing Noise-Induced Extinction in Discrete Population Models |
| title_short | Preventing Noise-Induced Extinction in Discrete Population Models |
| title_sort | preventing noise induced extinction in discrete population models |
| url | http://dx.doi.org/10.1155/2017/9610609 |
| work_keys_str_mv | AT irinabashkirtseva preventingnoiseinducedextinctionindiscretepopulationmodels |