Analysis of an Impulsive One-Predator and Two-Prey System with Stage-Structure and Generalized Functional Response
Joint Authors
Ma, Xiangmin
Fang, Xianjia
Wang, Zhen
Ju, Zhixiang
Shao, Yuanfu
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-11-24
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Ma, Xiangmin& Shao, Yuanfu& Wang, Zhen& Fang, Xianjia& Ju, Zhixiang. 2015. Analysis of an Impulsive One-Predator and Two-Prey System with Stage-Structure and Generalized Functional Response. Discrete Dynamics in Nature and Society،Vol. 2015, no. 2015, pp.1-10.
https://search.emarefa.net/detail/BIM-1060797
Modern Language Association (MLA)
Ma, Xiangmin…[et al.]. Analysis of an Impulsive One-Predator and Two-Prey System with Stage-Structure and Generalized Functional Response. Discrete Dynamics in Nature and Society No. 2015 (2015), pp.1-10.
https://search.emarefa.net/detail/BIM-1060797
American Medical Association (AMA)
Ma, Xiangmin& Shao, Yuanfu& Wang, Zhen& Fang, Xianjia& Ju, Zhixiang. Analysis of an Impulsive One-Predator and Two-Prey System with Stage-Structure and Generalized Functional Response. Discrete Dynamics in Nature and Society. 2015. Vol. 2015, no. 2015, pp.1-10.
https://search.emarefa.net/detail/BIM-1060797
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1060797