Dynamical Behaviors of a Stage-Structured Predator-Prey Model with Harvesting Effort and Impulsive Diffusion
We consider a delayed predator-prey model with harvesting effort and impulsive diffusion between two patches. By the impulsive comparison theorem and the discrete dynamical system determined by the stroboscopic map, we obtain some sufficient conditions on the existence and global attractiveness of...
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| Format: | Article |
| Language: | English |
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Wiley
2015-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2015/371852 |
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| _version_ | 1832564955982856192 |
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| author | Lingzhi Huang Zhichun Yang |
| author_facet | Lingzhi Huang Zhichun Yang |
| author_sort | Lingzhi Huang |
| collection | DOAJ |
| description | We consider a delayed predator-prey model with harvesting effort and impulsive diffusion between two patches. By the impulsive comparison theorem and the discrete dynamical system determined by the stroboscopic map,
we obtain some sufficient conditions on the existence and global attractiveness of predator-eradicated periodic solution for the system. Furthermore, the permanence of the system is derived. The obtained results will modify and improve the ones in some existing publications and give the estimate for the ultimately low and upper boundedness of the systems. |
| format | Article |
| id | doaj-art-567a3e1315d54f95b4926cfcc1ae5590 |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2015-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-567a3e1315d54f95b4926cfcc1ae55902025-02-03T01:09:44ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2015-01-01201510.1155/2015/371852371852Dynamical Behaviors of a Stage-Structured Predator-Prey Model with Harvesting Effort and Impulsive DiffusionLingzhi Huang0Zhichun Yang1College of Mathematics, Chongqing Normal University, Chongqing 400047, ChinaCollege of Mathematics, Chongqing Normal University, Chongqing 400047, ChinaWe consider a delayed predator-prey model with harvesting effort and impulsive diffusion between two patches. By the impulsive comparison theorem and the discrete dynamical system determined by the stroboscopic map, we obtain some sufficient conditions on the existence and global attractiveness of predator-eradicated periodic solution for the system. Furthermore, the permanence of the system is derived. The obtained results will modify and improve the ones in some existing publications and give the estimate for the ultimately low and upper boundedness of the systems.http://dx.doi.org/10.1155/2015/371852 |
| spellingShingle | Lingzhi Huang Zhichun Yang Dynamical Behaviors of a Stage-Structured Predator-Prey Model with Harvesting Effort and Impulsive Diffusion Discrete Dynamics in Nature and Society |
| title | Dynamical Behaviors of a Stage-Structured Predator-Prey Model with Harvesting Effort and Impulsive Diffusion |
| title_full | Dynamical Behaviors of a Stage-Structured Predator-Prey Model with Harvesting Effort and Impulsive Diffusion |
| title_fullStr | Dynamical Behaviors of a Stage-Structured Predator-Prey Model with Harvesting Effort and Impulsive Diffusion |
| title_full_unstemmed | Dynamical Behaviors of a Stage-Structured Predator-Prey Model with Harvesting Effort and Impulsive Diffusion |
| title_short | Dynamical Behaviors of a Stage-Structured Predator-Prey Model with Harvesting Effort and Impulsive Diffusion |
| title_sort | dynamical behaviors of a stage structured predator prey model with harvesting effort and impulsive diffusion |
| url | http://dx.doi.org/10.1155/2015/371852 |
| work_keys_str_mv | AT lingzhihuang dynamicalbehaviorsofastagestructuredpredatorpreymodelwithharvestingeffortandimpulsivediffusion AT zhichunyang dynamicalbehaviorsofastagestructuredpredatorpreymodelwithharvestingeffortandimpulsivediffusion |