Relaxation Oscillations in a System with Delays Modeling the Predator-Prey Problem
A new asymptotic method for investigating complex relaxation oscillations of a system with delay was offered. Applying it, we can reduce the problem of predator-prey system dynamics to problem of one-dimensional maps analysis. Some conclusions of biological nature based on the asymptotic analysis we...
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| Format: | Article |
| Language: | English |
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Yaroslavl State University
2013-02-01
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| Series: | Моделирование и анализ информационных систем |
| Subjects: | |
| Online Access: | https://www.mais-journal.ru/jour/article/view/220 |
| _version_ | 1797877956343758848 |
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| author | S. A. Kaschenko |
| author_facet | S. A. Kaschenko |
| author_sort | S. A. Kaschenko |
| collection | DOAJ |
| description | A new asymptotic method for investigating complex relaxation oscillations of a system with delay was offered. Applying it, we can reduce the problem of predator-prey system dynamics to problem of one-dimensional maps analysis. Some conclusions of biological nature based on the asymptotic analysis were made. |
| first_indexed | 2024-04-10T02:25:00Z |
| format | Article |
| id | doaj.art-7fb6f4f669c24ec79f4b21644f65f5ab |
| institution | Directory Open Access Journal |
| issn | 1818-1015 2313-5417 |
| language | English |
| last_indexed | 2024-04-10T02:25:00Z |
| publishDate | 2013-02-01 |
| publisher | Yaroslavl State University |
| record_format | Article |
| series | Моделирование и анализ информационных систем |
| spelling | doaj.art-7fb6f4f669c24ec79f4b21644f65f5ab2023-03-13T08:07:31ZengYaroslavl State UniversityМоделирование и анализ информационных систем1818-10152313-54172013-02-01201529810.18255/1818-1015-2013-1-52-98213Relaxation Oscillations in a System with Delays Modeling the Predator-Prey ProblemS. A. Kaschenko0Ярославский государственный университет им. П.Г. ДемидоваA new asymptotic method for investigating complex relaxation oscillations of a system with delay was offered. Applying it, we can reduce the problem of predator-prey system dynamics to problem of one-dimensional maps analysis. Some conclusions of biological nature based on the asymptotic analysis were made.https://www.mais-journal.ru/jour/article/view/220дифференциальное уравнение с запаздываниембольшой параметрасимптотикапериодическое решение |
| spellingShingle | S. A. Kaschenko Relaxation Oscillations in a System with Delays Modeling the Predator-Prey Problem Моделирование и анализ информационных систем дифференциальное уравнение с запаздыванием большой параметр асимптотика периодическое решение |
| title | Relaxation Oscillations in a System with Delays Modeling the Predator-Prey Problem |
| title_full | Relaxation Oscillations in a System with Delays Modeling the Predator-Prey Problem |
| title_fullStr | Relaxation Oscillations in a System with Delays Modeling the Predator-Prey Problem |
| title_full_unstemmed | Relaxation Oscillations in a System with Delays Modeling the Predator-Prey Problem |
| title_short | Relaxation Oscillations in a System with Delays Modeling the Predator-Prey Problem |
| title_sort | relaxation oscillations in a system with delays modeling the predator prey problem |
| topic | дифференциальное уравнение с запаздыванием большой параметр асимптотика периодическое решение |
| url | https://www.mais-journal.ru/jour/article/view/220 |
| work_keys_str_mv | AT sakaschenko relaxationoscillationsinasystemwithdelaysmodelingthepredatorpreyproblem |