Abstract

In this paper, we establish sufficient conditions for the global asymptotic stability of the following discrete models of nonautonomous Lotka-Volterra type: formula math. where each c i (p), a i (p) and a l i j (p) are bounded for p ≥ 0 and formula math. We establish a condition for the permanence of system and applying the former work (2002, J. Math. Anal. Appl. 273 492-511) to this system, we improve a known condition for the global asymptotic stability of system.

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