Global stability of an economic model

Abstract

In this paper, we investigate the global stability of the following economic system of difference equations (Equation presented) where a, and β ∈ (0, ∞) with the initial conditions xo and yo ∈ (0,∞). First we study the global behavior of the following general system of difference equations (Equation presented) for n ∈ No where s₁⁽ⁱ⁾, s₂⁽ⁱ⁾ ∈ ℕo for i = 1,2,...,k, with positive initial conditions. Second we apply the obtained results to investigate the global stability of System (I).