Almost Periodic Solution of a Discrete Commensalism System. (22nd October 2015)

• Record Type: Journal Article
• Authors: Xue, Yalong; Xie, Xiangdong; Chen, Fengde; Han, Rongyu
• Other Names: Medina Rigoberto Academic Editor.
• Is Part Of: Discrete dynamics in nature and society. Volume 2015(2015)
• Publication Date: 2015-10-22
• Subjects: System analysis -- Periodicals; Dynamics -- Periodicals; Chaotic behavior in systems -- Periodicals; Differentiable dynamical systems -- Periodicals; 003.05
• DOI: 10.1155/2015/295483
• Languages: English
• ISSNs: 1026-0226

Abstract

Abstract : A nonautonomous discrete two-species Lotka-Volterra commensalism system with delays is considered in this paper. Based on the discrete comparison theorem, the permanence of the system is obtained. Then, by constructing a new discrete Lyapunov functional, a set of sufficient conditions which guarantee the system global attractivity are obtained. If the coefficients are almost periodic, there exists an almost periodic solution and the almost periodic solution is globally attractive.