Stability analysis of a system of second‐order difference equations

Authors: Vũ Văn Khương, Trần Hồng Thái,

https://doi.org/10.1002/mma.3816

Publisher, magazine: ,

Publication year: 2016

  Lưu        Trích dẫn         Chia sẻ

Abstract

In this paper, we study the boundedness character and persistence, existence and uniqueness of the positive equilibrium, local and global behavior, and the rate of convergence of positive solutions of the following system of rational difference equations urn:x-wiley:mma:media:mma3816:mma3816-math-0001 where the parameters αi,βi,ai,bi for i∈{1,2} and the initial conditions x−1,x0,y−1,y0 are positive real numbers. Some numerical example are given to verify our theoretical results

Tags: system of difference equations, boundedness, persistence ,asymptotic behavior ,rate of convergence