Abstract
In this paper we consider the permanence of the following Lotka–Volterra discrete competition system with delays k1, k2, l1, and l2: x(n+1)=x(n)exp{r1[1−x(n−k1)−μ1y(n−k2)]}, y(n+1)=y(n)exp{r2[1−μ2x(n−l1)−y(n−l2)]}. We show the system is permanent for all nonnegative integers k1, k2, l1, and l2, if and only if μ1<1 and μ2<1 hold.
Published Version
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