A Prey-Predator Model with a Reserved Area
In this paper, a mathematical model is proposed and analysed to study the dynamics of a prey-predator model. It is assumed that the habitat is divided into two zones, namely free zone and reserved zone. Predators are not allowed to enter into the reserved zone. Criteria for the coexistence of predat...
| Main Author: | |
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| Format: | Article |
| Language: | English |
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Vilnius University Press
2007-10-01
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| Series: | Nonlinear Analysis |
| Subjects: | |
| Online Access: | http://www.zurnalai.vu.lt/nonlinear-analysis/article/view/14679 |
| _version_ | 1811311128560533504 |
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| author | B. Dubey |
| author_facet | B. Dubey |
| author_sort | B. Dubey |
| collection | DOAJ |
| description | In this paper, a mathematical model is proposed and analysed to study the dynamics of a prey-predator model. It is assumed that the habitat is divided into two zones, namely free zone and reserved zone. Predators are not allowed to enter into the reserved zone. Criteria for the coexistence of predator-prey are obtained. The role of reserved zone is investigated and it is shown that the reserve zone has a stabilizing effect on predator-prey interactions. |
| first_indexed | 2024-04-13T10:12:17Z |
| format | Article |
| id | doaj.art-baf123eff70648e2bc1ffe3f71303f0b |
| institution | Directory Open Access Journal |
| issn | 1392-5113 2335-8963 |
| language | English |
| last_indexed | 2024-04-13T10:12:17Z |
| publishDate | 2007-10-01 |
| publisher | Vilnius University Press |
| record_format | Article |
| series | Nonlinear Analysis |
| spelling | doaj.art-baf123eff70648e2bc1ffe3f71303f0b2022-12-22T02:50:52ZengVilnius University PressNonlinear Analysis1392-51132335-89632007-10-0112410.15388/NA.2007.12.4.14679A Prey-Predator Model with a Reserved AreaB. Dubey0Birla Institute of Technology and Science, IndiaIn this paper, a mathematical model is proposed and analysed to study the dynamics of a prey-predator model. It is assumed that the habitat is divided into two zones, namely free zone and reserved zone. Predators are not allowed to enter into the reserved zone. Criteria for the coexistence of predator-prey are obtained. The role of reserved zone is investigated and it is shown that the reserve zone has a stabilizing effect on predator-prey interactions.http://www.zurnalai.vu.lt/nonlinear-analysis/article/view/14679prey-predatorreserve zonestability |
| spellingShingle | B. Dubey A Prey-Predator Model with a Reserved Area Nonlinear Analysis prey-predator reserve zone stability |
| title | A Prey-Predator Model with a Reserved Area |
| title_full | A Prey-Predator Model with a Reserved Area |
| title_fullStr | A Prey-Predator Model with a Reserved Area |
| title_full_unstemmed | A Prey-Predator Model with a Reserved Area |
| title_short | A Prey-Predator Model with a Reserved Area |
| title_sort | prey predator model with a reserved area |
| topic | prey-predator reserve zone stability |
| url | http://www.zurnalai.vu.lt/nonlinear-analysis/article/view/14679 |
| work_keys_str_mv | AT bdubey apreypredatormodelwithareservedarea AT bdubey preypredatormodelwithareservedarea |