Global Behavior of a System of Second-Order Rational Difference Equations

Phong Mai Nam

doi:10.33434/cams.938775

EN

Global Behavior of a System of Second-Order Rational Difference Equations

Abstract

In this paper, we consider the following system of rational difference equations

x_{n + 1} = \frac{a + x_{n}}{b + c y_{n} + d x_{n - 1}}

, yn+1=α+ynβ+γxn+ηyn−1

, n=0,1,2,...xn+1=a+xnb+cyn+dxn−1, yn+1=α+ynβ+γxn+ηyn−1, n=0,1,2,...

where

a, b, c, d, α, β, γ, η \in (0, \infty)

and the initial values

x_{- 1}, x_{0}, y_{- 1}, y_{0} \in (0, \infty)

. Our main aim is to investigate the local asymptotic stability and global stability of equilibrium points, and the rate of convergence of positive solutions of the system.

Keywords

Equilibrium points, local stability, global behavior, rate of convergence, positive solutions

References

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Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Authors

Phong Mai Nam ^*
Vietnam

Publication Date

September 30, 2021

Submission Date

May 18, 2021

Acceptance Date

July 7, 2021

Published in Issue

Year 2021 Volume: 4 Number: 3

DOI

https://doi.org/10.33434/cams.938775

IZ

https://izlik.org/JA69KG59EX

APA

Mai Nam, P. (2021). Global Behavior of a System of Second-Order Rational Difference Equations. Communications in Advanced Mathematical Sciences, 4(3), 150-162. https://doi.org/10.33434/cams.938775

AMA

1.Mai Nam P. Global Behavior of a System of Second-Order Rational Difference Equations. Communications in Advanced Mathematical Sciences. 2021;4(3):150-162. doi:10.33434/cams.938775

Chicago

Mai Nam, Phong. 2021. “Global Behavior of a System of Second-Order Rational Difference Equations”. Communications in Advanced Mathematical Sciences 4 (3): 150-62. https://doi.org/10.33434/cams.938775.

EndNote

Mai Nam P (September 1, 2021) Global Behavior of a System of Second-Order Rational Difference Equations. Communications in Advanced Mathematical Sciences 4 3 150–162.

IEEE

[1]P. Mai Nam, “Global Behavior of a System of Second-Order Rational Difference Equations”, Communications in Advanced Mathematical Sciences, vol. 4, no. 3, pp. 150–162, Sept. 2021, doi: 10.33434/cams.938775.

ISNAD

Mai Nam, Phong. “Global Behavior of a System of Second-Order Rational Difference Equations”. Communications in Advanced Mathematical Sciences 4/3 (September 1, 2021): 150-162. https://doi.org/10.33434/cams.938775.

JAMA

1.Mai Nam P. Global Behavior of a System of Second-Order Rational Difference Equations. Communications in Advanced Mathematical Sciences. 2021;4:150–162.

MLA

Mai Nam, Phong. “Global Behavior of a System of Second-Order Rational Difference Equations”. Communications in Advanced Mathematical Sciences, vol. 4, no. 3, Sept. 2021, pp. 150-62, doi:10.33434/cams.938775.

Vancouver

1.Phong Mai Nam. Global Behavior of a System of Second-Order Rational Difference Equations. Communications in Advanced Mathematical Sciences. 2021 Sep. 1;4(3):150-62. doi:10.33434/cams.938775

The published articles in CAMS are licensed under a Creative Commons Attribution-NonCommercial 4.0 International License..

Abstract

Global Behavior of a System of Second-Order Rational Difference Equations

Abstract

Keywords

References

Details

Primary Language

Subjects

Journal Section

Authors

Publication Date

Submission Date

Acceptance Date

Published in Issue

DOI

IZ

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