Asymptotic Behavior of the Solutions of System of Difference Equations of Exponential Form. (13th October 2014)

• Record Type: Journal Article
• Authors: Van Khuong, Vu; Hong Thai, Tran
• Other Names: Xu Honglei Academic Editor.
• Is Part Of: Journal of difference equations. Volume 2014(2014)
• Publication Date: 2014-10-13
• Subjects: Difference equations -- Periodicals; Difference equations; Periodicals; 515.625
• DOI: 10.1155/2014/936302
• Languages: English
• ISSNs: 2356-7856

Abstract

Abstract : The goal of this paper is to study the boundedness, the persistence, and the asymptotic behavior of the positive solutions of the system of two difference equations of exponential form:x n + 1 = a + b e - y n + c e - x n / d + h y n, y n + 1 = a + b e - x n + c e - y n / d + h x n, wherea, b, c, d, andh are positive constants and the initial valuesx 0, y 0 are positive real values. Also, we determine the rate of convergence of a solution that converges to the equilibriumE = ( x -, y - ) of this system.