Dynamical Behavior of a System of Third-Order Rational Difference Equation-Reference-Cited by-同舟云学术

Dynamical Behavior of a System of Third-Order Rational Difference Equation

Published:2015 Issue: Volume:2015 Page:1-6
ISSN:1026-0226
Container-title:Discrete Dynamics in Nature and Society
language:en
Short-container-title:Discrete Dynamics in Nature and Society

Author:

Zhang Qianhong¹,Liu Jingzhong²,Luo Zhenguo³^ORCID

Affiliation:

1. Guizhou Key Laboratory of Economics System Simulation, Guizhou University of Finance and Economics, Guiyang, Guizhou 550004, China

2. Department of Mathematics and Physics, Hunan Institute of Technology, Hengyang, Hunan 421002, China

3. Department of Mathematics, Hengyang Normal University, Hengyang, Hunan 421002, China

Abstract

This paper deals with the boundedness, persistence, and global asymptotic stability of positive solution for a system of third-order rational difference equationsxn+1=A+xn/yn-1yn-2,yn+1=A+yn/xn-1xn-2,n=0,1,…, whereA∈(0,∞),x-i∈(0,∞);y-i∈(0,∞),i=0,1,2. Some examples are given to demonstrate the effectiveness of the results obtained.

Funder

National Natural Science Foundation of China

Publisher

Hindawi Limited

Subject

Modelling and Simulation

Link

http://downloads.hindawi.com/journals/ddns/2015/530453.pdf

Reference17 articles.

1. On the recursive sequence 𝑥_{𝑛+1}=\frac{𝐴}𝑥_{𝑛}+\frac{1}𝑥_{𝑛-2}

2. Global stability of yn + 1 = A + ynyn−k

3. On the Recursive Sequencexn+1=α+xn−1/xn