Global stability of multi-dimensional system of rational difference equations of higher-order with Pell-coefficients

Ahmed Ghezal; Imane  Zemmouri

doi:10.5269/bspm.67343

Ahmed Ghezal University Centre Abdelhafid Boussouf Mila: Centre Universitaire Abdelhafid Boussouf Mila
Imane Zemmouri

Resumen

This article considers a new multi-dimensional system of rational difference equations of higher-order with Pell-coefficients. In this system, the Pell-coefficients are allowed to Pell-sequence, while it is considered constant for this system. This system generalizes the same as the first-order system introduced in this article. We show that the solutions of this system are also associated with Pell-numbers. The global stability of positive solutions of this system is also established.

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