An Impulsively Controlled Three-Species Prey-Predator Model with Stage Structure and Birth Pulse for Predator
Joint Authors
Yan, Mei
Xiang, Zhongyi
Hu, Yanyan
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-13, 13 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-07-14
Country of Publication
Egypt
No. of Pages
13
Main Subjects
Abstract EN
We investigate the dynamic behaviors of a two-prey one-predator system with stage structure and birth pulse for predator.
By using the Floquet theory of linear periodic impulsive equation and small amplitude perturbation method, we show that there exists a globally asymptotically stable two-prey eradication periodic solution when the impulsive period is less than some critical value.
Further, we study the permanence of the investigated model.
Our results provide valuable strategy for biological economics management.
Numerical analysis is also inserted to illustrate the results.
American Psychological Association (APA)
Hu, Yanyan& Yan, Mei& Xiang, Zhongyi. 2015. An Impulsively Controlled Three-Species Prey-Predator Model with Stage Structure and Birth Pulse for Predator. Discrete Dynamics in Nature and Society،Vol. 2015, no. 2015, pp.1-13.
https://search.emarefa.net/detail/BIM-1060490
Modern Language Association (MLA)
Hu, Yanyan…[et al.]. An Impulsively Controlled Three-Species Prey-Predator Model with Stage Structure and Birth Pulse for Predator. Discrete Dynamics in Nature and Society No. 2015 (2015), pp.1-13.
https://search.emarefa.net/detail/BIM-1060490
American Medical Association (AMA)
Hu, Yanyan& Yan, Mei& Xiang, Zhongyi. An Impulsively Controlled Three-Species Prey-Predator Model with Stage Structure and Birth Pulse for Predator. Discrete Dynamics in Nature and Society. 2015. Vol. 2015, no. 2015, pp.1-13.
https://search.emarefa.net/detail/BIM-1060490
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1060490