An Impulsive Three-Species Model with Square Root Functional Response and Mutual Interference of Predator
An impulsive two-prey and one-predator model with square root functional responses, mutual interference, and integrated pest management is constructed. By using techniques of impulsive perturbations, comparison theorem, and Floquet theory, the existence and global asymptotic stability of prey-eradic...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2016-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2016/3897234 |
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| _version_ | 1832561684062928896 |
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| author | Zhen Wang Yuanfu Shao Xianjia Fang Xiangmin Ma |
| author_facet | Zhen Wang Yuanfu Shao Xianjia Fang Xiangmin Ma |
| author_sort | Zhen Wang |
| collection | DOAJ |
| description | An impulsive two-prey and one-predator model with square root functional responses, mutual interference, and integrated pest management is constructed. By using techniques of impulsive perturbations, comparison theorem, and Floquet theory, the existence and global asymptotic stability of prey-eradication periodic solution are investigated. We use some methods and sufficient conditions to prove the permanence of the system which involve multiple Lyapunov functions and differential comparison theorem. Numerical simulations are given to portray the complex behaviors of this system. Finally, we analyze the biological meanings of these results and give some suggestions for feasible control strategies. |
| format | Article |
| id | doaj-art-098864521c6343409968e83875fe82f5 |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2016-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-098864521c6343409968e83875fe82f52025-02-03T01:24:27ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2016-01-01201610.1155/2016/38972343897234An Impulsive Three-Species Model with Square Root Functional Response and Mutual Interference of PredatorZhen Wang0Yuanfu Shao1Xianjia Fang2Xiangmin Ma3School 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, ChinaAn impulsive two-prey and one-predator model with square root functional responses, mutual interference, and integrated pest management is constructed. By using techniques of impulsive perturbations, comparison theorem, and Floquet theory, the existence and global asymptotic stability of prey-eradication periodic solution are investigated. We use some methods and sufficient conditions to prove the permanence of the system which involve multiple Lyapunov functions and differential comparison theorem. Numerical simulations are given to portray the complex behaviors of this system. Finally, we analyze the biological meanings of these results and give some suggestions for feasible control strategies.http://dx.doi.org/10.1155/2016/3897234 |
| spellingShingle | Zhen Wang Yuanfu Shao Xianjia Fang Xiangmin Ma An Impulsive Three-Species Model with Square Root Functional Response and Mutual Interference of Predator Discrete Dynamics in Nature and Society |
| title | An Impulsive Three-Species Model with Square Root Functional Response and Mutual Interference of Predator |
| title_full | An Impulsive Three-Species Model with Square Root Functional Response and Mutual Interference of Predator |
| title_fullStr | An Impulsive Three-Species Model with Square Root Functional Response and Mutual Interference of Predator |
| title_full_unstemmed | An Impulsive Three-Species Model with Square Root Functional Response and Mutual Interference of Predator |
| title_short | An Impulsive Three-Species Model with Square Root Functional Response and Mutual Interference of Predator |
| title_sort | impulsive three species model with square root functional response and mutual interference of predator |
| url | http://dx.doi.org/10.1155/2016/3897234 |
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