El-Metwally, H.Yalcinkaya, IbrahimCinar, Cengiz2024-02-232024-02-2320140315-3681https://hdl.handle.net/20.500.12452/17705In this paper, we investigate the global stability of the following economic system of difference equations { x(n+1) = (1 - alpha)x(n) + beta x(n)(1 - x(n))e(-(xn+yn)) y(n+1) = (1 - alpha)y(n) + beta y(n)(1 - y(n))e(-(xn+yn)) , n = 0, 1, ... , (I) where alpha, and beta is an element of (0, infinity) with the initial conditions x(0) and y(0) is an element of (0,infinity). First we study the global behavior of the following general system of difference equations X-n((1)) = phi(1)(x(n-s1)((1))(1), x(n-s1)((2)(2))), X-n((2)) = phi(2)(x(n-s2)((2))(2), x(n-s1)((3)(3))), X-n((3)) = phi(3)(x(n-s2)((3))(3), x(n-s1)((4)(4))), X-n((k)) = phi(k)(x(n-s2)((k))(k), x(n-s2)((1)(1))). for n is an element of N-o where s(1)((i)), S-2((i)) is an element of N-o for i = 1,2, ... , k, with positive initial conditions. Second we apply the obtained results to investigate the global stability of System (I).eninfo:eu-repo/semantics/closedAccessGlobal StabilityEconomic ModelsDifference EquationsSystemsArticle952352442-s2.0-84914691845Q4WOS:000344632100018Q4