Affiliation:
1. Zonguldak Bulent Ecevit University, Faculty of Science, Department of Mathematics, Zonguldak, Turkey
Abstract
In the present paper, we mainly investigate the qualitative behavior of the
solutions of a discrete system of difference equations xn+1 = ? + Pmi =1
xn?i yn , yn+1 = ? + Pmi =1 yn?i xn , n ? N where ?, ? ? (0,?), m ? Z+, x?i
and y?i are non-negative real numbers for i ? {0, 1, ...,m}. Namely, we
discuss the boundedness character and the asymptotic stability properties of
steady states of the mentioned system. Finally, for this system, we give a
rate of convergence result which has an important place in the discrete
dynamical systems. Besides, some numerical simulations with graphs are given
to emphasize the efficiency of our theoretical results in the article.
Publisher
National Library of Serbia
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