On a Periodic Time-Dependent Model of Population Dynamics with Stage Structure and Impulsive Effects
We consider a periodic time-dependent predator-prey system with stage structure and impulsive harvesting, in which the prey has a life history that takes them through two stages, immature and mature. A set of sufficient and necessary conditions which guarantee the permanence of the system are obtain...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2008-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2008/389727 |
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| _version_ | 1850177994185768960 |
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| author | Kaiyuan Liu Lansun Chen |
| author_facet | Kaiyuan Liu Lansun Chen |
| author_sort | Kaiyuan Liu |
| collection | DOAJ |
| description | We consider a periodic time-dependent predator-prey system with stage structure and impulsive harvesting, in which the prey has a life history that takes them through two stages, immature and mature. A set of sufficient and necessary conditions which guarantee the permanence of the system are obtained. Finally, we give a brief discussion of our results. |
| format | Article |
| id | doaj-art-bacd4d4ef9534d88942e38fd1d778b27 |
| institution | OA Journals |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2008-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-bacd4d4ef9534d88942e38fd1d778b272025-08-20T02:18:50ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2008-01-01200810.1155/2008/389727389727On a Periodic Time-Dependent Model of Population Dynamics with Stage Structure and Impulsive EffectsKaiyuan Liu0Lansun Chen1Department of Mathematics, Anshan Normal University, Anshan 114007, ChinaDepartment of Applied Mathematics, Dalian University of Technology, Dalian 116024, ChinaWe consider a periodic time-dependent predator-prey system with stage structure and impulsive harvesting, in which the prey has a life history that takes them through two stages, immature and mature. A set of sufficient and necessary conditions which guarantee the permanence of the system are obtained. Finally, we give a brief discussion of our results.http://dx.doi.org/10.1155/2008/389727 |
| spellingShingle | Kaiyuan Liu Lansun Chen On a Periodic Time-Dependent Model of Population Dynamics with Stage Structure and Impulsive Effects Discrete Dynamics in Nature and Society |
| title | On a Periodic Time-Dependent Model of Population Dynamics with Stage Structure and Impulsive Effects |
| title_full | On a Periodic Time-Dependent Model of Population Dynamics with Stage Structure and Impulsive Effects |
| title_fullStr | On a Periodic Time-Dependent Model of Population Dynamics with Stage Structure and Impulsive Effects |
| title_full_unstemmed | On a Periodic Time-Dependent Model of Population Dynamics with Stage Structure and Impulsive Effects |
| title_short | On a Periodic Time-Dependent Model of Population Dynamics with Stage Structure and Impulsive Effects |
| title_sort | on a periodic time dependent model of population dynamics with stage structure and impulsive effects |
| url | http://dx.doi.org/10.1155/2008/389727 |
| work_keys_str_mv | AT kaiyuanliu onaperiodictimedependentmodelofpopulationdynamicswithstagestructureandimpulsiveeffects AT lansunchen onaperiodictimedependentmodelofpopulationdynamicswithstagestructureandimpulsiveeffects |