Deterministic and Stochastic Analysis of a Ratio-Dependent Predator-Prey System with Delay
Recently ratio-dependent predator-prey models have become the focus of considerable attention in theoretical ecology in their own right. In this paper, we have studied the deterministic and stochastic dynamical aspects of stability of a MichaelisMenten type ratio-dependent predator-prey system that...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Vilnius University Press
2007-07-01
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| Series: | Nonlinear Analysis |
| Subjects: | |
| Online Access: | http://www.zurnalai.vu.lt/nonlinear-analysis/article/view/14700 |
| _version_ | 1818759573832466432 |
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| author | A. Maiti M. M. Jana G. P. Samanta |
| author_facet | A. Maiti M. M. Jana G. P. Samanta |
| author_sort | A. Maiti |
| collection | DOAJ |
| description | Recently ratio-dependent predator-prey models have become the focus of considerable attention in theoretical ecology in their own right. In this paper, we have studied the deterministic and stochastic dynamical aspects of stability of a MichaelisMenten type ratio-dependent predator-prey system that includes discrete time-delay. Computer simulations are carried out to explain the analytical findings in deterministic environment. The biological implications of our analytical and numerical findings are discussed critically. |
| first_indexed | 2024-12-18T06:44:53Z |
| format | Article |
| id | doaj.art-78a1f85597d74a13b1d9e0fc74abe63d |
| institution | Directory Open Access Journal |
| issn | 1392-5113 2335-8963 |
| language | English |
| last_indexed | 2024-12-18T06:44:53Z |
| publishDate | 2007-07-01 |
| publisher | Vilnius University Press |
| record_format | Article |
| series | Nonlinear Analysis |
| spelling | doaj.art-78a1f85597d74a13b1d9e0fc74abe63d2022-12-21T21:17:32ZengVilnius University PressNonlinear Analysis1392-51132335-89632007-07-0112310.15388/NA.2007.12.3.14700Deterministic and Stochastic Analysis of a Ratio-Dependent Predator-Prey System with DelayA. Maiti0M. M. Jana1G. P. Samanta2Department of Mathematics, Presidency College, IndiaBantra M.S.P.C. High School, IndiaBengal Engineering and Science University, IndiaRecently ratio-dependent predator-prey models have become the focus of considerable attention in theoretical ecology in their own right. In this paper, we have studied the deterministic and stochastic dynamical aspects of stability of a MichaelisMenten type ratio-dependent predator-prey system that includes discrete time-delay. Computer simulations are carried out to explain the analytical findings in deterministic environment. The biological implications of our analytical and numerical findings are discussed critically.http://www.zurnalai.vu.lt/nonlinear-analysis/article/view/14700predator-prey modelratio-dependencetime-delaystabilitybifurcationwhite noise |
| spellingShingle | A. Maiti M. M. Jana G. P. Samanta Deterministic and Stochastic Analysis of a Ratio-Dependent Predator-Prey System with Delay Nonlinear Analysis predator-prey model ratio-dependence time-delay stability bifurcation white noise |
| title | Deterministic and Stochastic Analysis of a Ratio-Dependent Predator-Prey System with Delay |
| title_full | Deterministic and Stochastic Analysis of a Ratio-Dependent Predator-Prey System with Delay |
| title_fullStr | Deterministic and Stochastic Analysis of a Ratio-Dependent Predator-Prey System with Delay |
| title_full_unstemmed | Deterministic and Stochastic Analysis of a Ratio-Dependent Predator-Prey System with Delay |
| title_short | Deterministic and Stochastic Analysis of a Ratio-Dependent Predator-Prey System with Delay |
| title_sort | deterministic and stochastic analysis of a ratio dependent predator prey system with delay |
| topic | predator-prey model ratio-dependence time-delay stability bifurcation white noise |
| url | http://www.zurnalai.vu.lt/nonlinear-analysis/article/view/14700 |
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