Asymptotic Behavior of Positive Solutions of a Competitive System Subject to Environmental Noise. (2nd March 2015)

• Record Type: Journal Article
• Authors: Xiang, Huili; Fang, Zhuang; Li, Zuxiong; Liu, Zhijun
• Other Names: Çinar Cengiz Academic Editor.
• Is Part Of: Discrete dynamics in nature and society. Volume 2015(2015)
• Publication Date: 2015-03-02
• Subjects: System analysis -- Periodicals; Dynamics -- Periodicals; Chaotic behavior in systems -- Periodicals; Differentiable dynamical systems -- Periodicals; 003.05
• DOI: 10.1155/2015/389638
• Languages: English
• ISSNs: 1026-0226

Abstract

Abstract : A competitive system subject to environmental noise is established. By using the theory of stochastic differential equations and Lyapunov function, sufficient conditions for the existence, uniqueness, stochastic boundedness, and global attraction of the positive solution of the above system are established, respectively. An example together with its corresponding numerical simulations is presented to confirm our analytical results.