Pest control using virus as control agent: A mathematical model
It is now well recognised that biocontrol of pests is one of the best ecofriendly alternative for pest control. In this paper we have studied dynamical behaviours of a model for biocontrol of pests, where it is assumed that the pest is affected by a virus. Boundedness and stability of the model are...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Vilnius University Press
2012-01-01
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| Series: | Nonlinear Analysis |
| Subjects: | |
| Online Access: | http://www.zurnalai.vu.lt/nonlinear-analysis/article/view/14079 |
| _version_ | 1811311343739863040 |
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| author | Sweta Pathak Alakes Maiti |
| author_facet | Sweta Pathak Alakes Maiti |
| author_sort | Sweta Pathak |
| collection | DOAJ |
| description | It is now well recognised that biocontrol of pests is one of the best ecofriendly alternative for pest control. In this paper we have studied dynamical behaviours of a model for biocontrol of pests, where it is assumed that the pest is affected by a virus. Boundedness and stability of the model are studied. The effect of time-delay is investigated. Numerical simulations are carried out to illustrate our analytical findings. It is observed that the time-delay has a regulatory impact on the system. Biological implications of our results are discussed. |
| first_indexed | 2024-04-13T10:16:14Z |
| format | Article |
| id | doaj.art-57e83629f47f48b0a3096fd7659de790 |
| institution | Directory Open Access Journal |
| issn | 1392-5113 2335-8963 |
| language | English |
| last_indexed | 2024-04-13T10:16:14Z |
| publishDate | 2012-01-01 |
| publisher | Vilnius University Press |
| record_format | Article |
| series | Nonlinear Analysis |
| spelling | doaj.art-57e83629f47f48b0a3096fd7659de7902022-12-22T02:50:42ZengVilnius University PressNonlinear Analysis1392-51132335-89632012-01-01171Pest control using virus as control agent: A mathematical modelSweta Pathak0Alakes Maiti1Belur Girls’ High School, IndiaPresidency University, IndiaIt is now well recognised that biocontrol of pests is one of the best ecofriendly alternative for pest control. In this paper we have studied dynamical behaviours of a model for biocontrol of pests, where it is assumed that the pest is affected by a virus. Boundedness and stability of the model are studied. The effect of time-delay is investigated. Numerical simulations are carried out to illustrate our analytical findings. It is observed that the time-delay has a regulatory impact on the system. Biological implications of our results are discussed.http://www.zurnalai.vu.lt/nonlinear-analysis/article/view/14079pestpesticidebiopesticidevirusstabilitytime-delay |
| spellingShingle | Sweta Pathak Alakes Maiti Pest control using virus as control agent: A mathematical model Nonlinear Analysis pest pesticide biopesticide virus stability time-delay |
| title | Pest control using virus as control agent: A mathematical model |
| title_full | Pest control using virus as control agent: A mathematical model |
| title_fullStr | Pest control using virus as control agent: A mathematical model |
| title_full_unstemmed | Pest control using virus as control agent: A mathematical model |
| title_short | Pest control using virus as control agent: A mathematical model |
| title_sort | pest control using virus as control agent a mathematical model |
| topic | pest pesticide biopesticide virus stability time-delay |
| url | http://www.zurnalai.vu.lt/nonlinear-analysis/article/view/14079 |
| work_keys_str_mv | AT swetapathak pestcontrolusingvirusascontrolagentamathematicalmodel AT alakesmaiti pestcontrolusingvirusascontrolagentamathematicalmodel |