Relaxation Oscillations in Models of Multi-Species Biocenose
<p>Some families of mathematical models of biological populations are considered. Invariant ratios between the parameters which characterize this or that population are revealed. Dynamic properties of models are investigated on the assumption that one or several populations are strongly prolif...
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| Format: | Article |
| Language: | English |
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Yaroslavl State University
2013-01-01
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| Series: | Моделирование и анализ информационных систем |
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| Online Access: | http://mais-journal.ru/jour/article/view/171 |
| _version_ | 1797971592068726784 |
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| author | S. A. Kaschenko |
| author_facet | S. A. Kaschenko |
| author_sort | S. A. Kaschenko |
| collection | DOAJ |
| description | <p>Some families of mathematical models of biological populations are considered. Invariant ratios between the parameters which characterize this or that population are revealed. Dynamic properties of models are investigated on the assumption that one or several populations are strongly prolific, which means that the corresponding malthusian coefficients are rather great. On the basis of a special asymptotic method developed by the author a problem of behavior of initial system solutions can be reduced to a significantly simpler problem of dynamics of the finite-dimensional mappings received. In particular, it is shown that irregular relaxation vibrations are typical for the solutions of these mappings and, as a result, for the solution of the initial equation systems. It is interesting to note that these viabrations are of big amplitudes.</p> |
| first_indexed | 2024-04-11T03:35:04Z |
| format | Article |
| id | doaj.art-ef95c1eb9640463e93fb0cddf3569f93 |
| institution | Directory Open Access Journal |
| issn | 1818-1015 2313-5417 |
| language | English |
| last_indexed | 2024-04-11T03:35:04Z |
| publishDate | 2013-01-01 |
| publisher | Yaroslavl State University |
| record_format | Article |
| series | Моделирование и анализ информационных систем |
| spelling | doaj.art-ef95c1eb9640463e93fb0cddf3569f932023-01-02T05:40:56ZengYaroslavl State UniversityМоделирование и анализ информационных систем1818-10152313-54172013-01-01205524165Relaxation Oscillations in Models of Multi-Species BiocenoseS. A. Kaschenko0Ярославский государственный университет им. П.Г. Демидова<p>Some families of mathematical models of biological populations are considered. Invariant ratios between the parameters which characterize this or that population are revealed. Dynamic properties of models are investigated on the assumption that one or several populations are strongly prolific, which means that the corresponding malthusian coefficients are rather great. On the basis of a special asymptotic method developed by the author a problem of behavior of initial system solutions can be reduced to a significantly simpler problem of dynamics of the finite-dimensional mappings received. In particular, it is shown that irregular relaxation vibrations are typical for the solutions of these mappings and, as a result, for the solution of the initial equation systems. It is interesting to note that these viabrations are of big amplitudes.</p>http://mais-journal.ru/jour/article/view/171релаксационные колебаниябольшой параметрасимптотикапериодическое решение |
| spellingShingle | S. A. Kaschenko Relaxation Oscillations in Models of Multi-Species Biocenose Моделирование и анализ информационных систем релаксационные колебания большой параметр асимптотика периодическое решение |
| title | Relaxation Oscillations in Models of Multi-Species Biocenose |
| title_full | Relaxation Oscillations in Models of Multi-Species Biocenose |
| title_fullStr | Relaxation Oscillations in Models of Multi-Species Biocenose |
| title_full_unstemmed | Relaxation Oscillations in Models of Multi-Species Biocenose |
| title_short | Relaxation Oscillations in Models of Multi-Species Biocenose |
| title_sort | relaxation oscillations in models of multi species biocenose |
| topic | релаксационные колебания большой параметр асимптотика периодическое решение |
| url | http://mais-journal.ru/jour/article/view/171 |
| work_keys_str_mv | AT sakaschenko relaxationoscillationsinmodelsofmultispeciesbiocenose |