Current Journal of Applied Science and Technology

On the System of Three Order Rational Difference Equation

Guozhuan Hu *

Faculty of Mathematics and Physics, Huaiyin Institute of Technology, Huaian, Jiangsu 223003, China.

*Author to whom correspondence should be addressed.

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Abstract

This paper is concerned with the local and global asymptotic behavior of positive solution for a

system of three order rational difference equations

 

where α; β ∈ (0;∞); and the initial values x-1; x0 ∈ (0;∞); y-1; y0 ∈ (0;∞): Finally, some

numerical examples are provided to illustrate theoretical results obtained.

Keywords: Difference equations, equilibrium point, rate of convergence, global asymptotic behavior

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