Analysis of a Periodic Single Species Population Model Involving Constant Impulsive Perturbation
Joint Authors
Tan, Ronghua
Guo, Shengliang
Li, Zuxiong
Liu, Zhijun
Source
Journal of Applied Mathematics
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-7, 7 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-06-12
Country of Publication
Egypt
No. of Pages
7
Main Subjects
Abstract EN
This is a continuation of the work of Tan et al.
(2012).
In this paper a periodic single species model controlled by constant impulsive perturbation is investigated.
The constant impulse is realized at fixed moments of time.
With the help of the comparison theorem of impulsive differential equations and Lyapunov functions, sufficient conditions for the permanence and global attractivity are established, respectively.
Also, by comparing the above results with corresponding known results of Tan et al.
(2012) (i.e., the above model with linear impulsive perturbations), we find that the two different types of impulsive perturbations have influence on the above dynamics.
Numerical simulations are presented to substantiate our analytical results.
American Psychological Association (APA)
Tan, Ronghua& Li, Zuxiong& Guo, Shengliang& Liu, Zhijun. 2014. Analysis of a Periodic Single Species Population Model Involving Constant Impulsive Perturbation. Journal of Applied Mathematics،Vol. 2014, no. 2014, pp.1-7.
https://search.emarefa.net/detail/BIM-452866
Modern Language Association (MLA)
Tan, Ronghua…[et al.]. Analysis of a Periodic Single Species Population Model Involving Constant Impulsive Perturbation. Journal of Applied Mathematics No. 2014 (2014), pp.1-7.
https://search.emarefa.net/detail/BIM-452866
American Medical Association (AMA)
Tan, Ronghua& Li, Zuxiong& Guo, Shengliang& Liu, Zhijun. Analysis of a Periodic Single Species Population Model Involving Constant Impulsive Perturbation. Journal of Applied Mathematics. 2014. Vol. 2014, no. 2014, pp.1-7.
https://search.emarefa.net/detail/BIM-452866
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-452866