Global Property in a Delayed Periodic Predator-Prey Model with Stage-Structure in Prey and Density-Independence in Predator
We study the global property in a delayed periodic predator-prey model with stage-structure in prey and density-independence in predator. The sufficient conditions on the ultimate boundedness of all positive solutions are obtained, and the sufficient conditions of the integrable form for the permane...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/172380 |
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| _version_ | 1832551919919300608 |
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| author | Xiaolin Fan Zhidong Teng Haijun Jiang |
| author_facet | Xiaolin Fan Zhidong Teng Haijun Jiang |
| author_sort | Xiaolin Fan |
| collection | DOAJ |
| description | We study the global property in a delayed periodic predator-prey model with stage-structure in prey and density-independence in predator. The sufficient conditions on the ultimate boundedness of all positive solutions are obtained, and the sufficient conditions of the integrable form for the permanence and extinction are further established, respectively. Some well-known results on the predator density-dependency are improved and extended to the predator density-independent cases. The theoretical results are confirmed by the special examples and the numerical simulations. |
| format | Article |
| id | doaj-art-f9b30e9a53304c459e644d0a0e51bc57 |
| 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-f9b30e9a53304c459e644d0a0e51bc572025-02-03T06:00:06ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/172380172380Global Property in a Delayed Periodic Predator-Prey Model with Stage-Structure in Prey and Density-Independence in PredatorXiaolin Fan0Zhidong Teng1Haijun Jiang2College of Mathematics and System Sciences, Xinjiang University, Urumqi, Xinjiang 830046, ChinaCollege of Mathematics and System Sciences, Xinjiang University, Urumqi, Xinjiang 830046, ChinaCollege of Mathematics and System Sciences, Xinjiang University, Urumqi, Xinjiang 830046, ChinaWe study the global property in a delayed periodic predator-prey model with stage-structure in prey and density-independence in predator. The sufficient conditions on the ultimate boundedness of all positive solutions are obtained, and the sufficient conditions of the integrable form for the permanence and extinction are further established, respectively. Some well-known results on the predator density-dependency are improved and extended to the predator density-independent cases. The theoretical results are confirmed by the special examples and the numerical simulations.http://dx.doi.org/10.1155/2014/172380 |
| spellingShingle | Xiaolin Fan Zhidong Teng Haijun Jiang Global Property in a Delayed Periodic Predator-Prey Model with Stage-Structure in Prey and Density-Independence in Predator Abstract and Applied Analysis |
| title | Global Property in a Delayed Periodic Predator-Prey Model with Stage-Structure in Prey and Density-Independence in Predator |
| title_full | Global Property in a Delayed Periodic Predator-Prey Model with Stage-Structure in Prey and Density-Independence in Predator |
| title_fullStr | Global Property in a Delayed Periodic Predator-Prey Model with Stage-Structure in Prey and Density-Independence in Predator |
| title_full_unstemmed | Global Property in a Delayed Periodic Predator-Prey Model with Stage-Structure in Prey and Density-Independence in Predator |
| title_short | Global Property in a Delayed Periodic Predator-Prey Model with Stage-Structure in Prey and Density-Independence in Predator |
| title_sort | global property in a delayed periodic predator prey model with stage structure in prey and density independence in predator |
| url | http://dx.doi.org/10.1155/2014/172380 |
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