![](/images/graphics-bg.png)
Global Asymptotic Stability of Stochastic Nonautonomous Lotka-Volterra Models with Infinite Delay
Joint Authors
Source
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-12-08
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
A kind of general stochastic nonautonomous Lotka-Volterra models with infinite delay is investigated in this paper.
By constructing several suitable Lyapunov functions, the existence and uniqueness of global positive solution and global asymptotic stability are obtained.
Further, the solution asymptotically follows a normal distribution by means of linearizing stochastic differential equation.
Moment estimations in time average are derived to improve the approximation distribution.
Finally, numerical simulations are given to illustrate our conclusions.
American Psychological Association (APA)
Wei, Fengying& Cai, Yuhua. 2013. Global Asymptotic Stability of Stochastic Nonautonomous Lotka-Volterra Models with Infinite Delay. Abstract and Applied Analysis،Vol. 2013, no. 2013, pp.1-8.
https://search.emarefa.net/detail/BIM-465045
Modern Language Association (MLA)
Wei, Fengying& Cai, Yuhua. Global Asymptotic Stability of Stochastic Nonautonomous Lotka-Volterra Models with Infinite Delay. Abstract and Applied Analysis No. 2013 (2013), pp.1-8.
https://search.emarefa.net/detail/BIM-465045
American Medical Association (AMA)
Wei, Fengying& Cai, Yuhua. Global Asymptotic Stability of Stochastic Nonautonomous Lotka-Volterra Models with Infinite Delay. Abstract and Applied Analysis. 2013. Vol. 2013, no. 2013, pp.1-8.
https://search.emarefa.net/detail/BIM-465045
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-465045