Asymptotic Behavior of the Solutions of System of Difference Equations of Exponential Form
Author(s) -
Vu Van Khuong,
Trần Hồng Thái
Publication year - 2014
Publication title -
journal of difference equations
Language(s) - English
Resource type - Journals
eISSN - 2356-7848
pISSN - 2356-7856
DOI - 10.1155/2014/936302
Subject(s) - algorithm , computer science
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: xn+1=a+be-yn+ce-xn/d+hyn, yn+1=a+be-xn+ce-yn/d+hxn, where a, b, c, d, and h are positive constants and the initial values x0, y0 are positive real values. Also, we determine the rate of convergence of a solution that converges to the equilibrium E=(x-,y-) of this system
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