Persistence and Nonpersistence of a Nonautonomous Stochastic Mutualism System
Joint Authors
Xia, Peiyan
Zheng, Xiaokun
Jiang, Daqing
Source
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-13, 13 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-02-19
Country of Publication
Egypt
No. of Pages
13
Main Subjects
Abstract EN
In this paper, a two-species nonautonomous stochastic mutualism system is investigated.
The intrinsic growth rates of the two species at time t are estimated by rit+σitB˙i(t), i=1,2, respectively.
Viewing the different intensities of the noises σi(t), i=1,2 as two parameters at time t, we conclude that there exists a global positive solution and the pth moment of the solution is bounded.
We also show that the system is permanent, including stochastic permanence, persistence in mean, and asymptotic boundedness in time average.
Besides, we show that the large white noise will make the system nonpersistent.
Finally, we establish sufficient criteria for the global attractivity of the system.
American Psychological Association (APA)
Xia, Peiyan& Zheng, Xiaokun& Jiang, Daqing. 2013. Persistence and Nonpersistence of a Nonautonomous Stochastic Mutualism System. Abstract and Applied Analysis،Vol. 2013, no. 2013, pp.1-13.
https://search.emarefa.net/detail/BIM-457848
Modern Language Association (MLA)
Xia, Peiyan…[et al.]. Persistence and Nonpersistence of a Nonautonomous Stochastic Mutualism System. Abstract and Applied Analysis No. 2013 (2013), pp.1-13.
https://search.emarefa.net/detail/BIM-457848
American Medical Association (AMA)
Xia, Peiyan& Zheng, Xiaokun& Jiang, Daqing. Persistence and Nonpersistence of a Nonautonomous Stochastic Mutualism System. Abstract and Applied Analysis. 2013. Vol. 2013, no. 2013, pp.1-13.
https://search.emarefa.net/detail/BIM-457848
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-457848