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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Main Author: Irina Bashkirtseva
Format: Article
Language:English
Published: Wiley 2017-01-01
Series:Discrete Dynamics in Nature and Society
Online Access:http://dx.doi.org/10.1155/2017/9610609
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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.
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institution Kabale University
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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