文章基本信息

标题：Global dynamics of two systems of exponential difference equations by Lyapunov function
本地全文：下载
作者：Abdul Qadeer Khan
期刊名称：Advances in Difference Equations
印刷版ISSN：1687-1839
电子版ISSN：1687-1847
出版年度：2014
卷号：2014
期号：1
页码：297
DOI：10.1186/1687-1847-2014-297
语种：English
出版社：Hindawi Publishing Corporation
摘要：In this paper, we study the boundedness character and persistence, existence and uniqueness of the positive equilibrium, local and global behavior, and rate of convergence of positive solutions of two systems of exponential difference equations. Furthermore, by constructing a discrete Lyapunov function, we obtain the global asymptotic stability of the unique positive equilibrium point. Some numerical examples are given to verify our theoretical results. MSC:39A10, 40A05.
关键词：difference equations ; boundedness ; persistence ; asymptotic behavior ; Lyapunov function ; rate of convergence