Persistence and Nonpersistence of a Predator Prey System with Stochastic Perturbation
Joint Authors
Li, Haixia
Li, Haihong
Jiang, Daqing
Cong, Fuzhong
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-04-03
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
We analyze a predator prey model with stochastic perturbation.
First, weshow that this system has a unique positive solution.
Then, we deduce conditions that the system is persistent in time average.
Furthermore, we show the conditions that there is a stationary distribution of the system which implies that the system is permanent.
After that, conditions for the system going extinct in probability are established.
At last, numerical simulations are carried out to support our results.
American Psychological Association (APA)
Li, Haihong& Jiang, Daqing& Cong, Fuzhong& Li, Haixia. 2014. Persistence and Nonpersistence of a Predator Prey System with Stochastic Perturbation. Abstract and Applied Analysis،Vol. 2014, no. 2014, pp.1-10.
https://search.emarefa.net/detail/BIM-1033960
Modern Language Association (MLA)
Li, Haihong…[et al.]. Persistence and Nonpersistence of a Predator Prey System with Stochastic Perturbation. Abstract and Applied Analysis No. 2014 (2014), pp.1-10.
https://search.emarefa.net/detail/BIM-1033960
American Medical Association (AMA)
Li, Haihong& Jiang, Daqing& Cong, Fuzhong& Li, Haixia. Persistence and Nonpersistence of a Predator Prey System with Stochastic Perturbation. Abstract and Applied Analysis. 2014. Vol. 2014, no. 2014, pp.1-10.
https://search.emarefa.net/detail/BIM-1033960
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1033960