Analysis of stochastic attractors for time-delayed quadratic discrete model of population dynamics
We consider a time-delayed quadratic discrete model of population dynamics under the influence of random perturbations. Analysis of stochastic attractors of the model is performed using the methods of direct numerical simulation and the stochastic sensitivity function technique. A deformation of the...
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| Format: | Article |
| Language: | Russian |
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Institute of Computer Science
2015-02-01
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| Series: | Компьютерные исследования и моделирование |
| Subjects: | |
| Online Access: | http://crm.ics.org.ru/uploads/crmissues/crm_2015_1/15111.pdf |
| _version_ | 1817982402195095552 |
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| author | Ekaterina Dmitrievna Ekaterinchuk Lev Borisovich Ryashko |
| author_facet | Ekaterina Dmitrievna Ekaterinchuk Lev Borisovich Ryashko |
| author_sort | Ekaterina Dmitrievna Ekaterinchuk |
| collection | DOAJ |
| description | We consider a time-delayed quadratic discrete model of population dynamics under the influence of random perturbations. Analysis of stochastic attractors of the model is performed using the methods of direct numerical simulation and the stochastic sensitivity function technique. A deformation of the probability distribution of random states around the stable equilibria and cycles is studied parametrically. The phenomenon of noise-induced transitions in the zone of discrete cycles is demonstrated. |
| first_indexed | 2024-04-13T23:20:24Z |
| format | Article |
| id | doaj.art-272c5e54adb04c4ba86732ec50873a50 |
| institution | Directory Open Access Journal |
| issn | 2076-7633 2077-6853 |
| language | Russian |
| last_indexed | 2024-04-13T23:20:24Z |
| publishDate | 2015-02-01 |
| publisher | Institute of Computer Science |
| record_format | Article |
| series | Компьютерные исследования и моделирование |
| spelling | doaj.art-272c5e54adb04c4ba86732ec50873a502022-12-22T02:25:16ZrusInstitute of Computer ScienceКомпьютерные исследования и моделирование2076-76332077-68532015-02-017114515710.20537/2076-7633-2015-7-1-145-1572236Analysis of stochastic attractors for time-delayed quadratic discrete model of population dynamicsEkaterina Dmitrievna EkaterinchukLev Borisovich RyashkoWe consider a time-delayed quadratic discrete model of population dynamics under the influence of random perturbations. Analysis of stochastic attractors of the model is performed using the methods of direct numerical simulation and the stochastic sensitivity function technique. A deformation of the probability distribution of random states around the stable equilibria and cycles is studied parametrically. The phenomenon of noise-induced transitions in the zone of discrete cycles is demonstrated.http://crm.ics.org.ru/uploads/crmissues/crm_2015_1/15111.pdfa time-delayed quadratic discrete model of population dynamicsstochastic sensitivity function |
| spellingShingle | Ekaterina Dmitrievna Ekaterinchuk Lev Borisovich Ryashko Analysis of stochastic attractors for time-delayed quadratic discrete model of population dynamics Компьютерные исследования и моделирование a time-delayed quadratic discrete model of population dynamics stochastic sensitivity function |
| title | Analysis of stochastic attractors for time-delayed quadratic discrete model of population dynamics |
| title_full | Analysis of stochastic attractors for time-delayed quadratic discrete model of population dynamics |
| title_fullStr | Analysis of stochastic attractors for time-delayed quadratic discrete model of population dynamics |
| title_full_unstemmed | Analysis of stochastic attractors for time-delayed quadratic discrete model of population dynamics |
| title_short | Analysis of stochastic attractors for time-delayed quadratic discrete model of population dynamics |
| title_sort | analysis of stochastic attractors for time delayed quadratic discrete model of population dynamics |
| topic | a time-delayed quadratic discrete model of population dynamics stochastic sensitivity function |
| url | http://crm.ics.org.ru/uploads/crmissues/crm_2015_1/15111.pdf |
| work_keys_str_mv | AT ekaterinadmitrievnaekaterinchuk analysisofstochasticattractorsfortimedelayedquadraticdiscretemodelofpopulationdynamics AT levborisovichryashko analysisofstochasticattractorsfortimedelayedquadraticdiscretemodelofpopulationdynamics |