The Effect of Impulsive Diffusion on Dynamics of a Stage-Structured Predator-Prey System
We investigate a predator-prey model with impulsive diffusion on predator and stage structure on prey. The globally attractive condition of prey-extinction periodic solution of the system is obtained by the stroboscopic map of the discrete dynamical system. The permanent condition of the system is a...
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| Format: | Article |
| Language: | English |
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Wiley
2010-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2010/716932 |
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| _version_ | 1850219254768467968 |
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| author | Jianjun Jiao |
| author_facet | Jianjun Jiao |
| author_sort | Jianjun Jiao |
| collection | DOAJ |
| description | We investigate a predator-prey model with impulsive diffusion on predator and stage structure on prey. The globally attractive condition of prey-extinction periodic solution of the system is obtained by the stroboscopic map of
the discrete dynamical system. The permanent condition of the system is also obtained by the theory of impulsive delay differential equation. The results indicate that the discrete time delay has influence on the dynamical behaviors of the system. Finally, some numerical simulations are carried out to support the analytic results. |
| format | Article |
| id | doaj-art-74697fa8c19e490088224d7c89d189d2 |
| institution | OA Journals |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2010-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-74697fa8c19e490088224d7c89d189d22025-08-20T02:07:27ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2010-01-01201010.1155/2010/716932716932The Effect of Impulsive Diffusion on Dynamics of a Stage-Structured Predator-Prey SystemJianjun Jiao0School of Mathematics and Statistics, Huazhong University of Science and Technology, Wuhan 430074, ChinaWe investigate a predator-prey model with impulsive diffusion on predator and stage structure on prey. The globally attractive condition of prey-extinction periodic solution of the system is obtained by the stroboscopic map of the discrete dynamical system. The permanent condition of the system is also obtained by the theory of impulsive delay differential equation. The results indicate that the discrete time delay has influence on the dynamical behaviors of the system. Finally, some numerical simulations are carried out to support the analytic results.http://dx.doi.org/10.1155/2010/716932 |
| spellingShingle | Jianjun Jiao The Effect of Impulsive Diffusion on Dynamics of a Stage-Structured Predator-Prey System Discrete Dynamics in Nature and Society |
| title | The Effect of Impulsive Diffusion on Dynamics of a Stage-Structured Predator-Prey System |
| title_full | The Effect of Impulsive Diffusion on Dynamics of a Stage-Structured Predator-Prey System |
| title_fullStr | The Effect of Impulsive Diffusion on Dynamics of a Stage-Structured Predator-Prey System |
| title_full_unstemmed | The Effect of Impulsive Diffusion on Dynamics of a Stage-Structured Predator-Prey System |
| title_short | The Effect of Impulsive Diffusion on Dynamics of a Stage-Structured Predator-Prey System |
| title_sort | effect of impulsive diffusion on dynamics of a stage structured predator prey system |
| url | http://dx.doi.org/10.1155/2010/716932 |
| work_keys_str_mv | AT jianjunjiao theeffectofimpulsivediffusionondynamicsofastagestructuredpredatorpreysystem AT jianjunjiao effectofimpulsivediffusionondynamicsofastagestructuredpredatorpreysystem |