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An Impulsive Three-Species Model with Square Root Functional Response and Mutual Interference of Predator
Joint Authors
Ma, Xiangmin
Fang, Xianjia
Wang, Zhen
Shao, Yuanfu
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2016, Issue 2016 (31 Dec. 2016), pp.1-14, 14 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2016-05-26
Country of Publication
Egypt
No. of Pages
14
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Wang, Zhen& Shao, Yuanfu& Fang, Xianjia& Ma, Xiangmin. 2016. An Impulsive Three-Species Model with Square Root Functional Response and Mutual Interference of Predator. Discrete Dynamics in Nature and Society،Vol. 2016, no. 2016, pp.1-14.
https://search.emarefa.net/detail/BIM-1103424
Modern Language Association (MLA)
Wang, Zhen…[et al.]. An Impulsive Three-Species Model with Square Root Functional Response and Mutual Interference of Predator. Discrete Dynamics in Nature and Society No. 2016 (2016), pp.1-14.
https://search.emarefa.net/detail/BIM-1103424
American Medical Association (AMA)
Wang, Zhen& Shao, Yuanfu& Fang, Xianjia& Ma, Xiangmin. An Impulsive Three-Species Model with Square Root Functional Response and Mutual Interference of Predator. Discrete Dynamics in Nature and Society. 2016. Vol. 2016, no. 2016, pp.1-14.
https://search.emarefa.net/detail/BIM-1103424
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1103424