Analysis of an Impulsive One-Predator and Two-Prey System with Stage-Structure and Generalized Functional Response
An impulsive one-predator and two-prey system with stage-structure and generalized functional response is proposed and analyzed. By reasonable assumption and theoretical analysis, we obtain conditions for the existence and global attractivity of the predator-extinction periodic solution. Sufficient...
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| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2015-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2015/864367 |
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| _version_ | 1832559841355235328 |
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| author | Xiangmin Ma Yuanfu Shao Zhen Wang Xianjia Fang Zhenguo Luo |
| author_facet | Xiangmin Ma Yuanfu Shao Zhen Wang Xianjia Fang Zhenguo Luo |
| author_sort | Xiangmin Ma |
| collection | DOAJ |
| description | An impulsive one-predator and two-prey system with stage-structure and generalized functional response is proposed and analyzed. By reasonable assumption and theoretical analysis, we obtain conditions for the existence and global attractivity of the predator-extinction periodic solution. Sufficient conditions for the permanence of this system are established via impulsive differential comparison theorem. Furthermore, abundant results of numerical simulations are given by choosing two different and concrete functional responses, which indicate that impulsive effects, stage-structure, and functional responses are vital to the dynamical properties of this system. Finally, the biological meanings of the main results and some control strategies are given. |
| format | Article |
| id | doaj-art-876e1eb2c2f847ec80cdb465a2ec5fad |
| 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-876e1eb2c2f847ec80cdb465a2ec5fad2025-02-03T01:29:01ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2015-01-01201510.1155/2015/864367864367Analysis of an Impulsive One-Predator and Two-Prey System with Stage-Structure and Generalized Functional ResponseXiangmin Ma0Yuanfu Shao1Zhen Wang2Xianjia Fang3Zhenguo Luo4School of Science, Guilin University of Technology, Guilin, Guangxi 541004, ChinaSchool of Science, Guilin University of Technology, Guilin, Guangxi 541004, ChinaSchool of Science, Guilin University of Technology, Guilin, Guangxi 541004, ChinaSchool of Science, Guilin University of Technology, Guilin, Guangxi 541004, ChinaDepartment of Mathematics, Hengyang Normal University, Hengyang, Hunan 421008, ChinaAn impulsive one-predator and two-prey system with stage-structure and generalized functional response is proposed and analyzed. By reasonable assumption and theoretical analysis, we obtain conditions for the existence and global attractivity of the predator-extinction periodic solution. Sufficient conditions for the permanence of this system are established via impulsive differential comparison theorem. Furthermore, abundant results of numerical simulations are given by choosing two different and concrete functional responses, which indicate that impulsive effects, stage-structure, and functional responses are vital to the dynamical properties of this system. Finally, the biological meanings of the main results and some control strategies are given.http://dx.doi.org/10.1155/2015/864367 |
| spellingShingle | Xiangmin Ma Yuanfu Shao Zhen Wang Xianjia Fang Zhenguo Luo Analysis of an Impulsive One-Predator and Two-Prey System with Stage-Structure and Generalized Functional Response Discrete Dynamics in Nature and Society |
| title | Analysis of an Impulsive One-Predator and Two-Prey System with Stage-Structure and Generalized Functional Response |
| title_full | Analysis of an Impulsive One-Predator and Two-Prey System with Stage-Structure and Generalized Functional Response |
| title_fullStr | Analysis of an Impulsive One-Predator and Two-Prey System with Stage-Structure and Generalized Functional Response |
| title_full_unstemmed | Analysis of an Impulsive One-Predator and Two-Prey System with Stage-Structure and Generalized Functional Response |
| title_short | Analysis of an Impulsive One-Predator and Two-Prey System with Stage-Structure and Generalized Functional Response |
| title_sort | analysis of an impulsive one predator and two prey system with stage structure and generalized functional response |
| url | http://dx.doi.org/10.1155/2015/864367 |
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