On Impulsive Lotka–Volterra Systems with Diffusion
We study a two-dimensional Lotka–Volterra system with diffusion and impulse action at fixed moments of time. We establish conditions for the permanence of the system. In the case where the coefficients of the system are periodic in t and independent of the space variable x, we obtain conditions for...
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| Date: | 2002 |
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| Main Authors: | , , , |
| Format: | Article |
| Language: | Ukrainian English |
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Institute of Mathematics, NAS of Ukraine
2002
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/4089 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860510221761249280 |
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| author | Struk, O. O. Tkachenko, V. I. Струк, О. О. Ткаченко, В. І. |
| author_facet | Struk, O. O. Tkachenko, V. I. Струк, О. О. Ткаченко, В. І. |
| author_sort | Struk, O. O. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-18T20:22:24Z |
| description | We study a two-dimensional Lotka–Volterra system with diffusion and impulse action at fixed moments of time. We establish conditions for the permanence of the system. In the case where the coefficients of the system are periodic in t and independent of the space variable x, we obtain conditions for the existence and uniqueness of periodic solutions of the system. |
| first_indexed | 2026-03-24T02:53:33Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-4089 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | Ukrainian English |
| last_indexed | 2026-03-24T02:53:33Z |
| publishDate | 2002 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/1c/8142e2821dd66ed4909864d41115b61c.pdf |
| spelling | umjimathkievua-article-40892020-03-18T20:22:24Z On Impulsive Lotka–Volterra Systems with Diffusion Про системи Лотки - Вольерри з дифузією та імпульсною дією Struk, O. O. Tkachenko, V. I. Струк, О. О. Ткаченко, В. І. We study a two-dimensional Lotka–Volterra system with diffusion and impulse action at fixed moments of time. We establish conditions for the permanence of the system. In the case where the coefficients of the system are periodic in t and independent of the space variable x, we obtain conditions for the existence and uniqueness of periodic solutions of the system. Вивчається двовимірна система Лотки — Вольтерри з дифузією та імпульсною дією у фіксовані моменти часу. Отримано умови перманентності системи. У випадку періодичності по $t$ та незалежності коефіцієнтів системи від просторової змінної х отримано умови існування та єдиності періодичних розв'язків системи. Institute of Mathematics, NAS of Ukraine 2002-04-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/4089 Ukrains’kyi Matematychnyi Zhurnal; Vol. 54 No. 4 (2002); 514-526 Український математичний журнал; Том 54 № 4 (2002); 514-526 1027-3190 uk en https://umj.imath.kiev.ua/index.php/umj/article/view/4089/4888 https://umj.imath.kiev.ua/index.php/umj/article/view/4089/4889 Copyright (c) 2002 Struk O. O.; Tkachenko V. I. |
| spellingShingle | Struk, O. O. Tkachenko, V. I. Струк, О. О. Ткаченко, В. І. On Impulsive Lotka–Volterra Systems with Diffusion |
| title | On Impulsive Lotka–Volterra Systems with Diffusion |
| title_alt | Про системи Лотки - Вольерри з дифузією та імпульсною
дією |
| title_full | On Impulsive Lotka–Volterra Systems with Diffusion |
| title_fullStr | On Impulsive Lotka–Volterra Systems with Diffusion |
| title_full_unstemmed | On Impulsive Lotka–Volterra Systems with Diffusion |
| title_short | On Impulsive Lotka–Volterra Systems with Diffusion |
| title_sort | on impulsive lotka–volterra systems with diffusion |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/4089 |
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