A Stochastic Predator-Prey System with Stage Structure for Predator
The authors introduce stochasticity into a predator-prey system with Beddington-DeAngelis functional response and stage structure for predator. We present the global existence and positivity of the solution and give sufficient conditions for the global stability in probability of the system. Numeric...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/518695 |
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| _version_ | 1832559099193065472 |
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| author | Shufen Zhao Minghui Song |
| author_facet | Shufen Zhao Minghui Song |
| author_sort | Shufen Zhao |
| collection | DOAJ |
| description | The authors introduce stochasticity into a predator-prey system with Beddington-DeAngelis functional response and stage structure for predator. We present the global existence and positivity of the solution and give sufficient conditions for the global stability in probability of the system. Numerical simulations are introduced to support the main theoretical results. |
| format | Article |
| id | doaj-art-c9b05e134b67420da59af32d0a374797 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-c9b05e134b67420da59af32d0a3747972025-02-03T01:30:55ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/518695518695A Stochastic Predator-Prey System with Stage Structure for PredatorShufen Zhao0Minghui Song1Department of Mathematics, Harbin Institute of Technology, Harbin 150001, ChinaDepartment of Mathematics, Harbin Institute of Technology, Harbin 150001, ChinaThe authors introduce stochasticity into a predator-prey system with Beddington-DeAngelis functional response and stage structure for predator. We present the global existence and positivity of the solution and give sufficient conditions for the global stability in probability of the system. Numerical simulations are introduced to support the main theoretical results.http://dx.doi.org/10.1155/2014/518695 |
| spellingShingle | Shufen Zhao Minghui Song A Stochastic Predator-Prey System with Stage Structure for Predator Abstract and Applied Analysis |
| title | A Stochastic Predator-Prey System with Stage Structure for Predator |
| title_full | A Stochastic Predator-Prey System with Stage Structure for Predator |
| title_fullStr | A Stochastic Predator-Prey System with Stage Structure for Predator |
| title_full_unstemmed | A Stochastic Predator-Prey System with Stage Structure for Predator |
| title_short | A Stochastic Predator-Prey System with Stage Structure for Predator |
| title_sort | stochastic predator prey system with stage structure for predator |
| url | http://dx.doi.org/10.1155/2014/518695 |
| work_keys_str_mv | AT shufenzhao astochasticpredatorpreysystemwithstagestructureforpredator AT minghuisong astochasticpredatorpreysystemwithstagestructureforpredator AT shufenzhao stochasticpredatorpreysystemwithstagestructureforpredator AT minghuisong stochasticpredatorpreysystemwithstagestructureforpredator |