Global dynamics of two systems of exponential difference equations by Lyapunov function

Advances in Difference Equations

Abdul Qadeer Khan¹ 

[1] Department of Mathematics, University of Azad Jammu and Kashmir, Muzaffarabad, Pakistan

关键词: difference equations;    boundedness;    persistence;    asymptotic behavior;    Lyapunov function;    rate of convergence;   

DOI  :  10.1186/1687-1847-2014-297

学科分类：数学（综合）

来源: SpringerOpen

【 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.

【 授权许可】

CC BY