On the Global Character of the Rational System x_n+1=α_1 A_1+ B_1 x_n + y_n AND y_n+1=α_2+β_2 x_nA_2+B_2 x_n+C_2 y_n , volume=8, url=https://www.sjm.ba/index.php/sjm/article/view/266, DOI=10.5644/SJM.08.2.10, abstractNote= In this paper we investigate the global stability character of the rational system in the title with the parameters B_1, B_2, A_2+C_2 positive, the parameters A_1,α_2,β_2, A_2, C_2 nonnegative, and with arbitrary nonnegative initial conditions such that the denominators are always positive. 2000 Mathematics Subject Classification. 39A10 , number=2, journal=Sarajevo Journal of Mathematics, author=Drymonis, E. and Ladas, G., year=2024, month=Jun., pages=293–309