Analysis of a Periodic Impulsive Predator-Prey System with Disease in the Prey
Joint Authors
Source
Journal of Applied Mathematics
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-13, 13 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-10-10
Country of Publication
Egypt
No. of Pages
13
Main Subjects
Abstract EN
We investigate a periodic predator-prey system subject to impulsive perturbations, in which a disease can be transmitted among the prey species only, in this paper.
With the help of the theory of impulsive differential equations and Lyapunov functional method, sufficient conditions for the permanence, global attractivity, and partial extinction of system are established, respectively.
It is shown that impulsive perturbations contribute to the above dynamics of the system.
Numerical simulations are presented to substantiate the analytical results.
American Psychological Association (APA)
Wang, Lianwen& Liu, Zhijun. 2013. Analysis of a Periodic Impulsive Predator-Prey System with Disease in the Prey. Journal of Applied Mathematics،Vol. 2013, no. 2013, pp.1-13.
https://search.emarefa.net/detail/BIM-488753
Modern Language Association (MLA)
Wang, Lianwen& Liu, Zhijun. Analysis of a Periodic Impulsive Predator-Prey System with Disease in the Prey. Journal of Applied Mathematics No. 2013 (2013), pp.1-13.
https://search.emarefa.net/detail/BIM-488753
American Medical Association (AMA)
Wang, Lianwen& Liu, Zhijun. Analysis of a Periodic Impulsive Predator-Prey System with Disease in the Prey. Journal of Applied Mathematics. 2013. Vol. 2013, no. 2013, pp.1-13.
https://search.emarefa.net/detail/BIM-488753
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-488753