Persistence and Nonpersistence of a Food Chain Model with Stochastic Perturbation
We analyze a three species predator-prey chain model with stochastic perturbation. First, we show that this system has a unique positive solution and its pth moment is bounded. Then, we deduce conditions that the system is persistent in time average. After that, conditions for the system going to be...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2013/125089 |
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| _version_ | 1832565636692180992 |
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| author | Haihong Li Fuzhong Cong Daqing Jiang Hongtu Hua |
| author_facet | Haihong Li Fuzhong Cong Daqing Jiang Hongtu Hua |
| author_sort | Haihong Li |
| collection | DOAJ |
| description | We analyze a three species predator-prey chain model with stochastic perturbation. First, we show that this system has a unique positive solution and its pth moment is bounded. Then, we deduce conditions that the system is persistent in time average. After that, conditions for the system going to be extinction in probability are established. At last, numerical simulations are carried out to support our results. |
| format | Article |
| id | doaj-art-37efe0de2c2a440597310f772bce6396 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-37efe0de2c2a440597310f772bce63962025-02-03T01:07:04ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/125089125089Persistence and Nonpersistence of a Food Chain Model with Stochastic PerturbationHaihong Li0Fuzhong Cong1Daqing Jiang2Hongtu Hua3School of Mathematics, Jilin University, Changchun, Jilin 130024, ChinaSchool of Mathematics, Jilin University, Changchun, Jilin 130024, ChinaSchool of Mathematics, Northeast Normal University, Changchun, Jilin 130024, ChinaDepartment of Basic Courses, Air Force Aviation University, Changchun, Jilin 130022, ChinaWe analyze a three species predator-prey chain model with stochastic perturbation. First, we show that this system has a unique positive solution and its pth moment is bounded. Then, we deduce conditions that the system is persistent in time average. After that, conditions for the system going to be extinction in probability are established. At last, numerical simulations are carried out to support our results.http://dx.doi.org/10.1155/2013/125089 |
| spellingShingle | Haihong Li Fuzhong Cong Daqing Jiang Hongtu Hua Persistence and Nonpersistence of a Food Chain Model with Stochastic Perturbation Abstract and Applied Analysis |
| title | Persistence and Nonpersistence of a Food Chain Model with Stochastic Perturbation |
| title_full | Persistence and Nonpersistence of a Food Chain Model with Stochastic Perturbation |
| title_fullStr | Persistence and Nonpersistence of a Food Chain Model with Stochastic Perturbation |
| title_full_unstemmed | Persistence and Nonpersistence of a Food Chain Model with Stochastic Perturbation |
| title_short | Persistence and Nonpersistence of a Food Chain Model with Stochastic Perturbation |
| title_sort | persistence and nonpersistence of a food chain model with stochastic perturbation |
| url | http://dx.doi.org/10.1155/2013/125089 |
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