On Lotka-Volterra evolution law
In this paper we study a Lotka-Volterra (LV) evolution law. We give a mathematical model of the LV evolution law. This model includes into itself the classical LV predator-prey model as a particular case. One of the basic results is that under suitable conditions the classical LV predator-prey mode...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Hikari Ltd
2011
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| Online Access: | http://irep.iium.edu.my/6520/1/mfms-AdvStudBiol%282011%29.pdf |
| _version_ | 1796875390638096384 |
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| author | Mukhamedov, Farrukh Saburov, Mansoor |
| author_facet | Mukhamedov, Farrukh Saburov, Mansoor |
| author_sort | Mukhamedov, Farrukh |
| collection | IIUM |
| description | In this paper we study a Lotka-Volterra (LV) evolution law. We give a mathematical model of the LV evolution law. This model includes into itself the classical LV predator-prey model as a particular case. One of the basic results is
that under suitable conditions the classical LV predator-prey model can exhibit any asymptotical behavior such as equilibrium states, periodic cycles, and attractors. In this paper we provide some LV type models in which one can
observe any asymptotical behavior such as equilibrium states, periodic cycles, and attractors. |
| first_indexed | 2024-03-05T22:38:03Z |
| format | Article |
| id | oai:generic.eprints.org:6520 |
| institution | International Islamic University Malaysia |
| language | English |
| last_indexed | 2024-03-05T22:38:03Z |
| publishDate | 2011 |
| publisher | Hikari Ltd |
| record_format | dspace |
| spelling | oai:generic.eprints.org:65202012-12-28T06:30:51Z http://irep.iium.edu.my/6520/ On Lotka-Volterra evolution law Mukhamedov, Farrukh Saburov, Mansoor Q Science (General) QA Mathematics In this paper we study a Lotka-Volterra (LV) evolution law. We give a mathematical model of the LV evolution law. This model includes into itself the classical LV predator-prey model as a particular case. One of the basic results is that under suitable conditions the classical LV predator-prey model can exhibit any asymptotical behavior such as equilibrium states, periodic cycles, and attractors. In this paper we provide some LV type models in which one can observe any asymptotical behavior such as equilibrium states, periodic cycles, and attractors. Hikari Ltd 2011 Article PeerReviewed application/pdf en http://irep.iium.edu.my/6520/1/mfms-AdvStudBiol%282011%29.pdf Mukhamedov, Farrukh and Saburov, Mansoor (2011) On Lotka-Volterra evolution law. Advanced Studies in Biology, 3 (4). pp. 161-167. ISSN 1313-9495 (P) http://www.m-hikari.com/asb/asb2011/asb1-4-2011/saburovASB1-4-2011.pdf |
| spellingShingle | Q Science (General) QA Mathematics Mukhamedov, Farrukh Saburov, Mansoor On Lotka-Volterra evolution law |
| title | On Lotka-Volterra evolution law |
| title_full | On Lotka-Volterra evolution law |
| title_fullStr | On Lotka-Volterra evolution law |
| title_full_unstemmed | On Lotka-Volterra evolution law |
| title_short | On Lotka-Volterra evolution law |
| title_sort | on lotka volterra evolution law |
| topic | Q Science (General) QA Mathematics |
| url | http://irep.iium.edu.my/6520/1/mfms-AdvStudBiol%282011%29.pdf |
| work_keys_str_mv | AT mukhamedovfarrukh onlotkavolterraevolutionlaw AT saburovmansoor onlotkavolterraevolutionlaw |