Mathematical model of predator - prey system with lower critical prey density
A mathematical model of predator - prey microecosystem with lower critical population number of prey is considered. The predator - prey system is assumed to be under harvesting. Harvesting intensity variations generate changes in two model parameters which are considered as controllable. Bifurcation...
| Main Authors: | , |
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| Format: | Article |
| Language: | Russian |
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Institute of Computer Science
2009-03-01
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| Series: | Компьютерные исследования и моделирование |
| Subjects: | |
| Online Access: | http://crm.ics.org.ru/uploads/kim1/crm09106.pdf |
| _version_ | 1811220530115641344 |
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| author | Yu. M. Aponin E. A. Aponina |
| author_facet | Yu. M. Aponin E. A. Aponina |
| author_sort | Yu. M. Aponin |
| collection | DOAJ |
| description | A mathematical model of predator - prey microecosystem with lower critical population number of prey is considered. The predator - prey system is assumed to be under harvesting. Harvesting intensity variations generate changes in two model parameters which are considered as controllable. Bifurcation diagram in control-lable parameters plane is constructed and corresponding phase portraits are represented. |
| first_indexed | 2024-04-12T07:43:15Z |
| format | Article |
| id | doaj.art-517fdabe010b48a583f7ceeb15e45f83 |
| institution | Directory Open Access Journal |
| issn | 2076-7633 2077-6853 |
| language | Russian |
| last_indexed | 2024-04-12T07:43:15Z |
| publishDate | 2009-03-01 |
| publisher | Institute of Computer Science |
| record_format | Article |
| series | Компьютерные исследования и моделирование |
| spelling | doaj.art-517fdabe010b48a583f7ceeb15e45f832022-12-22T03:41:46ZrusInstitute of Computer ScienceКомпьютерные исследования и моделирование2076-76332077-68532009-03-0111515610.20537/2076-7633-2009-1-1-51-561574Mathematical model of predator - prey system with lower critical prey densityYu. M. AponinE. A. AponinaA mathematical model of predator - prey microecosystem with lower critical population number of prey is considered. The predator - prey system is assumed to be under harvesting. Harvesting intensity variations generate changes in two model parameters which are considered as controllable. Bifurcation diagram in control-lable parameters plane is constructed and corresponding phase portraits are represented.http://crm.ics.org.ru/uploads/kim1/crm09106.pdfpredator – prey systemecosystems dynamicsbifurcation theory |
| spellingShingle | Yu. M. Aponin E. A. Aponina Mathematical model of predator - prey system with lower critical prey density Компьютерные исследования и моделирование predator – prey system ecosystems dynamics bifurcation theory |
| title | Mathematical model of predator - prey system with lower critical prey density |
| title_full | Mathematical model of predator - prey system with lower critical prey density |
| title_fullStr | Mathematical model of predator - prey system with lower critical prey density |
| title_full_unstemmed | Mathematical model of predator - prey system with lower critical prey density |
| title_short | Mathematical model of predator - prey system with lower critical prey density |
| title_sort | mathematical model of predator prey system with lower critical prey density |
| topic | predator – prey system ecosystems dynamics bifurcation theory |
| url | http://crm.ics.org.ru/uploads/kim1/crm09106.pdf |
| work_keys_str_mv | AT yumaponin mathematicalmodelofpredatorpreysystemwithlowercriticalpreydensity AT eaaponina mathematicalmodelofpredatorpreysystemwithlowercriticalpreydensity |